Proceedings Volume 8341

Active and Passive Smart Structures and Integrated Systems 2012

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Proceedings Volume 8341

Active and Passive Smart Structures and Integrated Systems 2012

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Volume Details

Date Published: 30 April 2012
Contents: 21 Sessions, 76 Papers, 0 Presentations
Conference: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring 2012
Volume Number: 8341

Table of Contents

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Table of Contents

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  • Front Matter: Volume 8341
  • Energy Harvesting and Scavenging I: Nonlinear Energy Harvesting
  • Passive and Active Vibration Isolation I
  • Energy Harvesting and Scavenging II: Fluid and Biological Energy Harvesting
  • Biological-inspired Systems and Bio-MEMS
  • Optimization and Design of Integrated Systems I
  • Magneto Rheological Systems I
  • Energy Harvesting and Scavenging III: General Energy Harvesting I
  • Aircraft, MAV/UAV, and Morphing Systems I
  • Aircraft, MAV/UAV, and Morphing Systems II
  • Modeling, Simulation, Signal Processing, and Control of Integrated Systems I
  • Energy Harvesting and Scavenging III: General Energy Harvesting II
  • Modeling, Simulation, Signal Processing, and Control of Integrated Systems II
  • Energy Harvesting and Scavenging III: General Energy Harvesting III
  • SMA- and Piezo-based Materials and Systems I
  • Micro and Nano Integrated Systems
  • SMA- and Piezo-based Materials and Systems II
  • Energy Harvesting and Scavenging IV: Design of Energy Harvesting Systems
  • Magneto Rheological Systems II
  • Passive and Active Vibration Isolation II
  • Poster Session
Front Matter: Volume 8341
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Front Matter: Volume 8341
This PDF file contains the front matter associated with SPIE Proceedings Volume 8341, including the Title Page, Copyright information, Table of Contents, and the Conference Committee listing.
Energy Harvesting and Scavenging I: Nonlinear Energy Harvesting
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Performance analysis of frequency up-converting energy harvesters for human locomotion
Brittany Anderson, Adam Wickenheiser
Energy harvesting from human locomotion is a challenging problem because the low frequencies involved are incompatible with small, light-weight transducers. Furthermore, frequency variations during changing levels of activity greatly reduce the effectiveness of tuned resonant devices. This paper presents the performance analysis and parameter study of energy harvesters utilizing magnetic interactions for frequency up-conversion. Ferrous structures are used to periodically attract a magnetic tip mass during low-frequency oscillations, producing a series of impulses. This technique allows resonant structures to be designed for much higher natural frequencies and reduces the effects of excitation frequency variation. Measured vibrational data from several human activities are used to provide a time-varying, broadband input to the energy harvesting system and are recreated in a laboratory setting for experimental validation. Optimal load resistances are calculated under several assumptions including sinusoidal, white noise, and band-limited noise base excitations. These values are tested using simulations with real-world accelerations and compared to steady-state power optimization results. The optimal load is presented for each input signal, and an estimation of the maximum average power harvested under idealized conditions is given. The frequency up-conversion technique is compared to linear, resonant structures to determine the impact of the nonlinearities. Furthermore, an analysis is performed to study the discrepancies between the simulated results and the predicted performance derived from frequency response functions to determine the importance of transients.
Harvestable vibrational energy from an avian source: theoretical predictions vs. measured values
Michael W. Shafer, Robert MacCurdy, Ephrahim Garcia, et al.
For many reasons, it would be beneficial to have the capability of powering a wildlife tag over the course of multiple migratory seasons. Such an energy harvesting system would allow for more data collection and eliminate the need to replace depleted batteries. In this work, we investigate energy harvesting on birds and focus on vibrational energy harvesting. We review a method of predicting the amount of power that can be safely harvested from the birds such that the effect on their longterm survivability is not compromised. After showing that the safely harvestable power is significant in comparison to the circuits used in avian tags, we present testing results for the flight accelerations of two species of birds. Using these measured values, we then design harvesters that matched the flight acceleration frequency and are sufficiently low mass to be carried by the birds.
Vibration energy harvesting using the nonlinear oscillations of a magnetostrictive material
Erika Tsutsumi, Zachary del Rosario, Christopher Lee
A novel magnetostrictive-material-based device concept to convert ambient mechanical vibration into electricity has been designed, fabricated, and tested. In order to harvest energy over a greater frequency range as compared to state-of- the-art devices, an L-shaped beam which is tuned so that the first two (bending) natural frequencies have a (near) two-to-one ratio is used as a mechanical transducer to generate nonlinear oscillations. Under harmonic excitation, an internal resonance or autoparametric, dynamic response can occur in which one vibration mode parametrically excites a second vibration mode resulting in significant displacement of both modes over an extended frequency range. A magnetostrictive material, Metglas 2605SA1, is used to convert vibration into electricity. Vibration-induced strain in the Metglas changes its magnetization which in turn generates current in a coil of wire. Metglas is highly flexible so it can undergo large displacement and does not fatigue under extended excitation. Demonstration devices are used to study how this nonlinear response can be exploited to generate electricity under single-frequency, harmonic and random base excitation.
A statistical linearization approach to optimal nonlinear energy harvesting
Ian L. Cassidy, Jeffrey T. Scruggs
In this study, an extension of linear-quadratic-Gaussian (LQG) control theory is used to determine the optimal state feedback controller for a nonlinear energy harvesting system that is driven by a stochastic disturbance. Specifically, the energy harvester is a base-excited single-degree-of-freedom (SDOF) resonant oscillator with an electromagnetic transducer embedded between the ground and moving mass. The electromagnetic transducer used to harvest energy from the SDOF oscillator introduces a nonlinear Coulomb friction force into the system, which must be accounted for in the design of the controller. As such, the development of the optimal controller for this system is based on statistical linearization, whereby the Coulomb friction force is replaced by an equivalent linear viscous damping term, which is calculated from the stationary covariance of the closed-loop system. It is shown that the covariance matrix and optimal feedback gain matrix can be computed by implementing an iterative algorithm involving linear matrix inequalities (LMIs). Simulation results are presented for the SDOF energy harvester in which the performance of the optimal state feedback control law is compared to the performance of the optimal static admittance over a range of disturbance bandwidths.
Passive and Active Vibration Isolation I
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New method of negative capacitance shunt tuning for vibration control
The control of vibrating structures using piezoelectric elements connected to simple control circuits, known as shunts, is a widely studied field. Many different shunts have been researched that haven been shown to obtain strong performance in both narrow and broadband frequency ranges. Yet, the choice for the exact parameters of these shunts can be found different ways. In this work, a new method of selecting the components of a negative capacitance shunt is presented. An impedance model of a piezoelectric patch is developed and used to predict the control of a vibrating structure. The model predicts the magnitude of the strain induced voltage caused by the vibrating substrate through the computation of two voltage readings within the shunt. It is then confirmed experimentally, that it is possible to obtain experimentally the shunt parameters that produce maximum control through measurement of the shunt response.
Optimization of a passive piezoelectric damper for a viscously damped main system
Sebastian M. Schwarzendahl, Marcus Neubauer, Jörg Wallaschek
Structural vibrations can be reduced by shunted piezoelectric elements. The passive piezoelectric damper considered here, consists of a piezoelectric element connected to a host structure and shunted by an inductor-resistor network. The paper gives an in depth analysis on the tuning of the inductor and resistor parameters of the electric network with regard to different optimization goals. The calculations are based on a 2-degree-of-freedom model of the host structure and the shunted piezoelectric element. Three optimization goals are studied: The objective of eigenvalue optimization is to get both pairs of eigenvalues to be equal. Then the damping ratio of the host structure is maximized, leading to a minimized decay time of the free vibration. In the H2 optimization the total vibration energy within the host system is minimized, leading to optimal results in case of a broad-band excitation. In the H optimization the objective is to minimize the maximum amplitude of the host structure over the whole frequency spectrum. Analytical solutions for these optimization goals are already known in the special case of a host structure without damping. In the more general case of a viscously damped host structure analytical solutions for the eigenvalue and H2 optimization goal are derived. In case of the H optimization goal an analytical solution cannot be found and perturbation theory is used to calculate an analytical approximation. The approximation is compared to the numerical solution in order to check its accuracy.
Novel controller design demonstration for vibration alleviation of helicopter rotor blades
Fatma Demet Ulker, Fred Nitzsche
This paper presents an advanced controller design methodology for vibration alleviation of helicopter rotor sys- tems. Particularly, vibration alleviation in a forward ight regime where the rotor blades experience periodically varying aerodynamic loading was investigated. Controller synthesis was carried out under the time-periodic H2 and H framework and the synthesis problem was solved based on both periodic Riccati and Linear Matrix Inequality (LMI) formulations. The closed-loop stability was analyzed using Floquet-Lyapunov theory, and the controller's performance was validated by closed-loop high-delity aeroelastic simulations. To validate the con- troller's performance an actively controlled trailing edge ap strategy was implemented. Computational cost was compared for both formulations.
Macro composites with non-classical inclusions for vibration damping in wind turbine
Fabio Agnese, Fabrizio Scarpa
A star-shaped biphasic composite has been characterized and successively manufactured. This particular shape could potentially provide an enhancement in terms of strain energy dissipation when compared against classical composites with circular inclusion. The rationale of this work is to demonstrate by means of FE analysis and successively by dynamic testing that this topology effectively provides an increase in damping
A bi-stable oscillator for increasing damping and providing passive adaptability
David R. Johnson, Manoj Thota, F. Semperlotti, et al.
This research investigates a bi-stable oscillator which, through snap-through actions, can significantly increase energy dissipation loss factor and provide passive damping adaptability with respect to input amplitude and frequency. The increase in motion generated during snap-through leads to a significant increase in the energy dissipated by the embedded damper and the corresponding loss factor. The system parameters can be designed such that the snap-though threshold occurs at different input amplitudes. Overall, the device can be programmed to adjust damping to changes in the loading environment in a passive manner.
Energy Harvesting and Scavenging II: Fluid and Biological Energy Harvesting
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Nonlinear dynamics of the bi-stable piezoelectric wind energy harvester
A nonlinear piezoelectric wind energy harvester is proposed which has a low startup wind speed and is not restricted to a specific wind speed. By using the piezoelectric transduction mechanism, the gearbox is eliminated from the system and the start up speed is improved. Permanent magnets are placed in the blade part of the windmill. The interactions between the rotating magnets, positioned on the blades, and the tip magnets mounted on the piezoelectric beams directly and parametrically excite the beams. The nonlinear magnetic force makes the vibrations of the beams nonlinear and can make the beams bi-stable. This phenomenon is utilized to enhance the power output and to improve the robustness of the power production. Two designs are presented which incorporate parametric and ordinary excitations to generate electric power. The performance of each design is examined through experimental investigations. An analytic model is developed which is verified by the experimental results and explains the nonlinear phenomena captured by the experimental investigations.
Design and wind tunnel experimentation of a variable blade drag type vertical axis wind turbine
Samuel Mays, Behnam Bahr
The primary purpose of this research effort is to propose a novel efficiency boosting design feature in a drag type vertical axis wind turbine (VAWT), explore practicality through design and fabrication, and test the viability of the design through wind tunnel experiments. Using adaptive control surface design and an improved blade shape can be very useful in harnessing the wind's energy in low wind speed areas. The new design is based on a series of smaller blade elements to make any shape, which changes to reduce a negative resistance as it rotates and thus maximizing the useful torque. As such, these blades were designed into a modified Savonius wind turbine with the goal of improving upon the power coefficient produced by a more conventional design. The experiment yielded some positive observations with regard to starting characteristics. Torque and angular velocity data was recorded for both the conventional configuration and the newly built configuration and the torque and power coefficient results were compared.
Power and efficiency analysis of a flapping wing wind energy harvester
Matthew Bryant, Michael W. Shafer, Ephrahim Garcia
Energy harvesting from flowing fluids using flapping wings and fluttering aeroelastic structures has recently gained significant research attention as a possible alternative to traditional rotary turbines, especially at and below the centimeter scale. One promising approach uses an aeroelastic flutter instability to drive limit cycle oscillations of a flexible piezoelectric energy harvesting structure. Such a system is well suited to miniaturization and could be used to create self-powered wireless sensors wherever ambient flows are available. In this paper, we examine modeling of the aerodynamic forces, power extraction, and efficiency of such a flapping wing energy harvester at a low Reynolds number on the order of 1000. Two modeling approaches are considered, a quasi-steady method generalized from existing models of insect flight and a modified model that includes terms to account to the effects of dynamic stall. The modified model is shown to provide better agreement with CFD simulations of a flapping energy harvester.
A short investigation of the effect of an energy harvesting backpack on the human gait
Evangelos Papatheou, Peter Green, Vitomir Racic, et al.
Exploiting human motion for the purpose of energy harvesting has been a popular idea for some time. Many of the approaches proposed can be uncomfortable or they impose a significant burden on the person's gait. In the current paper a hardware in-the-loop simulator of an energy harvesting backpack is employed in order to investigate the effect of a suspended-load backpack on the human gait. The idea is based on the energy produced by a suspended-load which moves vertically on a backpack while a person walks. The energy created from such a linear system can be maximised when it resonates with the walking frequency of the person. However, such a configuration can also cause great forces to be applied on the back of the user. The system which is presented here consists of a mass attached on a rucksack, which is controlled by a motor in order to simulate the suspended-load backpack. The advantage of this setup is the ability to test different settings, regarding the spring stiffness or the damping coefficient, of the backpack harvester, and study their effect on the energy harvesting potential, as well as on the human gait. The present contribution describes the preliminary results and analysis of the testing of the system with the help of nine male volunteers who carried it on a treadmill.
An evaluation on low-level vibration energy harvesting using piezoelectret foam
Energy harvesting technology is critical in the development of self-powered electronic devices. Over the past few decades, several transduction mechanisms have been investigated for harvesting various forms of ambient energy. This paper provides an investigation of a novel transducer material for vibration energy harvesting; piezoelectret foam. Piezoelectrets are cellular ferroelectret foams, which are thin, flexible polymeric materials that exhibit piezoelectric properties. The basic operational principle behind cellular ferroelectrets involves the deformation of internally charged voids in the polymer, which can be represented as macroscopic dipoles, resulting in a potential developed across the material. Both the mechanical and electromechanical properties of this material are investigated in this work. Mechanical testing is performed using traditional tensile testing techniques to obtain experimental measures of the stiffness and strength of the materials. Electromechanical testing is performed in order to establish a relationship between input mechanical energy and output electrical energy by dynamically measuring the piezoelectric constant, d33. Additionally, the properties of ferroelectret foams are compared to those of polyvinylidene fluoride (PVDF), a conventional polymer-based piezoelectric material whose crystalline phase exhibits piezoelectricity through dipole orientation. Finally, the feasibility of vibration energy harvesting using piezoelectret materials is investigated.
Biological-inspired Systems and Bio-MEMS
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Fabrication and characterization of fluidic artificial muscles having millimeter-scale diameters
Erica G. Hocking, Norman M. Wereley
This study presents the manufacturing process, experimental characterization, and analytical modeling of fluidic artificial muscles (FAMs) with millimeter-scale diameters. First, a fabrication method was developed to consistently deliver low-cost, high-performance, miniature FAMs using commercially available materials. The quasi-static behavior of these FAMs was determined through experimentation on a single actuator with an active length of 39.16 mm (1.54 in) and a diameter of 4.13 mm (0.1625 in) using compressed air as the working fluid. Tests were carried out at several discrete actuation pressures ranging from 207 kPa (30 psi) to 552 kPa (80 psi) in order to demonstrate the full evolution of force with displacement over a broad spectrum of operating pressures. The results of these tests also revealed the blocked force and free contraction capabilities of the FAM at each internal pressure. When pressurized to 552 kPa (80 psi), the actuator was capable of delivering a maximum blocked force of 132.9 N (29.87 lb) and a maximum free contraction of ΔL/L0 = 0.0688. Furthermore, it is the goal of this work to compare the data from these experiments to previously developed models for full-scale PAMs. Using two formulations, one derived using a force balance approach and the other obtained using virtual work methods, the experimental data was validated against existing analytical models. With the inclusion of correction factors to account for physical phenomena encountered during testing, comparison between the models and the experimental results indicate that the improved models accurately predict the behavior of these miniature FAMs at low contractions.
Haptics using a smart material for eyes free interaction in mobile devices
Huihui Wang, Dimosthenis Kaleas, Roger Ruuspakka, et al.
We present a proof of concept (POC) for haptic interaction when audio or visual feedback is not practical. The POC includes addressable arrays of two-way Shape Memory Alloy (SMA) springs which can operate at a lower voltage and temperature compatible with mobile devices. They will form different shapes due to the thermal effect as current travels through the springs. The POC can simultaneously realize multiple methods for conveying haptic information such as dimension, force, texture and temperature due to the flexible array design. The haptic interface can go back to the original shape by itself after the current is off due to the advance of two way SMA. We are developing applications with different POC designs for tangible interactions.
Experiments on the focusing and use of acoustic energy to accelerate polymer healing
Alexander J. Cushman, Brian C. Fehrman, Shaun D. Gruenig, et al.
In this paper, we cover our studies on accelerating the molding process of a polymer by applying acoustic stress-wave time reversal. Tests carried out on an epoxy polymer mixed with a curing agent have shown evidence that the introduction of unfocused acoustic energy during the molding process will accelerate that process. The effects of focusing acoustic energy at a mold discontinuity while curing are explored. We also detail our investigations on focusing acoustic energy at a crack location by iteratively applying time reversal. Multiple types of media were tested.
Optimization and Design of Integrated Systems I
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Uncertainty quantification of acoustic emission filtering techniques
Boris A. Zárate, Juan M. Caicedo, Paul Ziehl
This paper compares six different filtering protocols used in Acoustic Emission (AE) monitoring of fatigue crack growth. The filtering protocols are combination of three different filtering techniques which are based on Swansong-like filters and load filters. The filters are compared deterministically and probabilistically. The deterministic comparison is based on the coefficient of determination of the resulting AE data, while the probabilistic comparison is based on the quantification of the uncertainty of the different filtering protocols. The uncertainty of the filtering protocols is quantified by calculating the entropy of the probability distribution of some AE and fracture mechanics parameters for the given filtering protocol. The methodology is useful in cases where several filtering protocols are available and there is no reason to choose one over the others. Acoustic Emission data from a compact tension specimen tested under cyclic load is used for the comparison.
Optimal design of viscous damper connectors for adjacent structures using genetic algorithm and Nelder-Mead algorithm
Passive dampers can be used to connect two adjacent structures in order to mitigate earthquakes induced pounding damages. Theoretical and experimental studies have confirmed efficiency and applicability of various connecting devices, such as viscous damper, MR damper, etc. However, few papers employed optimization methods to find the optimal mechanical properties of the dampers, and in most papers, dampers are assumed to be uniform. In this study, we optimized the optimal damping coefficients of viscous dampers considering a general case of non-uniform damping coefficients. Since the derivatives of objective function to damping coefficients are not known, to optimize damping coefficients, a heuristic search method, i.e. the genetic algorithm, is employed. Each structure is modeled as a multi degree of freedom dynamic system consisting of lumped-masses, linear springs and dampers. In order to examine dynamic behavior of the structures, simulations in frequency domain are carried out. A pseudo-excitation based on Kanai-Tajimi spectrum is used as ground acceleration. The optimization results show that relaxing the uniform dampers coefficient assumption generates significant improvement in coupling effectiveness. To investigate efficiency of genetic algorithm, solution quality and solution time of genetic algorithm are compared with those of Nelder-Mead algorithm.
A modified command feedforward tracking control system applied to the PRRR-RR parallel mechanism
Jeffrey A. Parkins, John F. O'Brien
The development of a prototype two degree-of-freedom parallel mechanism for application to unmanned ground vehicle target tracking is presented. The mechanism is extremely simple, decoupling the two end-effector degrees-of- freedom (DOFs) with an easily fabricated and inexpensive connection of passive joints. A summary of the parallel mechanism's kinematic design and singularity analysis is provided. A 2-DOF tracking system using a digital camera with a large time delay is presented. A command feedforward controller is designed to extend the tracking bandwidth by approximately two octaves beyond that of the feedback controller without violating causality. Experimental data is presented that shows improvement in the tracking performance by a factor of 2.4 over the feedback system alone.
Magneto Rheological Systems I
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High shear rate characterization of magnetorheological fluids
Andrew C. Becnel, Wei Hu, Norman M. Wereley
Shear mode or rotary drum-type magnetorheological energy absorbers (MREAS) are an attractive option for use in occupant or payload protection systems that operate at shear rates well over 25,000 s-1. However, their design is still performed using material properties measured using low-shear rate (<1,000 s-1) characterization techniques. This paper details a method for characterizing MR fluids at high shear rates, and presents characterization results for three commercially available MR fluids. It is proposed to utilize the perspective of apparent viscosity (the ratio of shear stress over shear rate) vs. shear rate to describe the behavior of the fluid at these shear rates. Good agreement between the measured data and predictions of MR fluid behavior are achieved using this framework. By expanding the knowledge of MR fluid behavior to these high shear strain rates, the design of MREAs is enabled for occupant protection systems for crash and mine blast events.
Realization of a MRF-safety-clutch for high torsional moments based on a novel ball-clutch design
M. Matthias, B. Seipel, M. Jackel, et al.
This paper describes the development of a safety-clutch by using magnetorheological fluids (MRF) to switch the transmission torque between a motor and a generator in a bus-like vehicle. The clutch is based on a new design combining an axial MRF-actuator and a ball coupling mechanism. This so called "MRF-ball-clutch" avoids the disadvantages of traditional bell- or disc-MRF-clutch designs where the torque is transmitted by the MRF which leads to a self-heating due to the shearing forces in the fluid and a more or less significant drag torque caused by limitations of the relation between minimal and maximal transmittable torque. The safety clutch based on the new MRF-clutch design requires a minimum of power consumption and allows switching high torsional moments in a very compact, lightweight and robust design. The work was done within the Fraunhofer System Research for Electromobility FSEM, founded by the German Federal Ministry of Research and Technology.
Feasibility study of self-powered magnetorheological damper systems
Chao Chen, Wei-Hsin Liao
This paper is aimed to provide a feasibility study of self-powered magnetorheological (MR) damper systems, which could convert vibration and shock energy into electrical energy to power itself under control. The self-powered feature could bring merits such as higher reliability, energy saving, and less maintenance for the MR damper systems. A self-powered MR damper system is proposed and modeled. The criterion whether the MR damper system is self-powered or not is proposed. A prototype of MR damper with power generation is designed, fabricated, and tested. The modeling of this damper is experimentally validated. Then the damper is applied to a 2 DOF suspension system under on-off skyhook controller, to obtain the self-powered working range and vibration control performance. Effects of key factors on the self-powered MR damper systems are studied. Design considerations are given in order to increase the self-powered working range.
Structural damping using encapsulated shear thickening fluids
Mathieu Soutrenon, Véronique Michaud
Smart structures with tunable damping and stiffness characteristics are of high interest to aerospace applications, but often require an external power source to be activated. This can be avoided by using highly concentrated silica suspensions, which exhibit a shear-thickening behavior, linked to a dramatic increase in viscous dissipation. These materials are however liquid at rest, and sensitive to humidity, so they are difficult to implement as such into structural applications. In the present work, highly concentrated solutions of monodisperse silica particles in PEG were selected for their strong thickening effect at rather low critical shear strain. Damping properties were characterized by measuring the energy dissipated per cycle at low frequency (<2Hz) during oscillatory tests using a rheometer. STF were impregnated in an open-cell foam scaffold and encapsulated into a RTV-silicone to produce patches that can be handled easily. Silicone also protects the STF against outgassing or humidity pickup. Experimental results show a simultaneous increase of stiffness and damping properties for theses patches at low frequencies and large strains. Damping is thus getting closer to the range of elastomeric commercial damping materials, possibly overtaking them in specific conditions.
Energy Harvesting and Scavenging III: General Energy Harvesting I
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Investigating the energy harvesting potential of ferro-fluids sloshing in base-excited containers
A. Bibo, R. Masana, A. King, et al.
This paper investigates the potential of designing a vibratory energy harvester which utilizes a ferrofluid sloshing in a seismically excited tank to generate electric power. Mechanical vibrations change the orientational order of the magnetic dipoles in the ferrofluid and create a varying magnetic flux which induces an electromotive force in a coil wound around the tank, thereby generating an electric current according to Faraday's law. Several experiments are performed on a cylindrical container of volume 5x10-5 m3 carrying a ferrofluid and subjected to different base excitation levels. Initial results illustrate that the proposed device can be excited at one or multiple modal frequencies depending on the container's size, can exhibit tunable characteristics by adjusting the external magnetic field, and currently produces 28 mV of open-circuit voltage using a base excitation of 2.5 m/s2 at a frequency of 5.5 Hz.
Impedance optimization of wireless electromagnetic energy harvesters for maximum output efficiency at µW input power
Antwi Nimo, Dario Grgic, Leonhard M. Reindl
This work presents the optimization of radio frequency (RF) to direct current (DC) circuits using Schottky diodes for remote wireless energy harvesting applications. Since different applications require different wireless RF to DC circuits, RF harvesters are presented for different applications. Analytical parameters influencing the sensitivity and efficiency of the circuits are presented. Results showed in this report are analytical, simulated and measured. The presented circuits operate around the frequency 434 MHz. The result of an L-matched RF to DC circuit operates at a maximum efficiency of 27 % at -35 dBm input. The result of a voltage multiplier achieves an open circuit voltage of 6 V at 0 dBm input. The result of a broadband circuit with a frequency band of 300 MHz, achieves an average efficiency of 5 % at -30 dBm and open circuit voltage of 47 mV. A high quality factor (Q) circuit is also realized with a PI network matching for narrow band applications.
Multiple piezoelectric energy harvesters connected to different interface circuits
I. C. Lien, Y. C. Shu
The electrical response of multiple piezoelectric oscillators connected in parallel and endowed with various energy harvesting circuits is investigated here. It is based on the idea of equivalent load impedance of piezoelectric capacitance coupled with harvesting circuits. The main result is the matrix formulation of generalized Ohm's law whose impedance matrix is explicitly expressed in terms of load impedance. It is validated numerically through standard circuit simulations.
Electromagnetic vibration energy harvesting with high power density using a magnet array
Xiudong Tang, Teng Lin, Lei Zuo
Electromagnetic vibration energy harvesters have been widely used to convert the vibration energy into electricity. However, one of the main challenges of using electromagnetic vibration energy harvesters is that they are usually in very large size with low power density. In this paper, a new type of electromagnetic vibration energy harvester with remarkably high power density is developed. By putting the strong rare-earth magnets in alternating directions and using high-magnetic-conductive casing, magnetic flux density up to 0.9T are obtained. This configuration also has a small current loop with less electrical reluctance, which further increases the high power density when the coil is designed to follow the current loop. The prototype, the size of which is 142x140x86 mm3, can provided up to 727Ns/m damping coefficient, which means 428 kNs/m4 damping density when it is shunt with 70Ω external resistive load which is set to the same as the internal resistor of the harvester to achieve maximum power. The corresponding power density is 725 μW/cm3 at 15HZ harmonic force excitation of 2.54mm peak-to-peak amplitude. When shot-circuited, 1091Ns/m damping coefficient and 638 kNs/m4 damping density is achieved. The effectiveness of this novel vibration energy harvester is shown both by FEA and experiments. The eddy current damper is also discussed in this paper for comparison. The proposed configuration of the magnet array can also be extended for both micro-scale and large-scale energy harvesting applications, such as vibration energy harvesting from tall buildings, long bridges and railways.
Aircraft, MAV/UAV, and Morphing Systems I
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Steerable Adaptive Bullet (StAB) piezoelectric flight control system
Ron Barrett, Ryan Barnhart, Richard Bramlette
This paper outlines a new class of piezoelectric flight control actuators which are specifically intended for use in guided hard-launched munitions from under 5.56mm to 40mm in caliber. In March of 2011, US Pat. 7,898,153 was issued, describing this new class of actuators, how they are mounted, laminated, energized and used to control the flight of a wide variety of munitions. This paper is the technical conference paper companion to the Patent. A Low Net Passive Stiffness (LNPS) Post Buckled Precompressed (PBP) piezoelectric actuator element for a 0.40 caliber body, 0.50 caliber round was built and tested. Aerodynamic modeling of the flight control actuator showed that canard deflections of just ±1° are more than sufficient to provide full flight control against 99% atmospherics to 2km of range while maintaining just 10cm of dispersion with lethal energy pressure levels upon terminal contact. Supersonic wind tunnel testing was conducted as well as a sweep of axial compression. The LNPS/PBP configuration exhibited an amplification factor of 3.8 while maintaining equivalent corner frequencies in excess of 100 Hz and deflection levels of ±1°. The paper concludes with a fabrication and assembly cost analysis on a mass production scale.
Aircraft, MAV/UAV, and Morphing Systems II
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Material characterization for morphing purposes in order to match flight requirements
Sebastian Geier, Markus Kintscher, Olaf Heintze, et al.
Natural laminar flow is one of the challenging aims of the current aerospace research. Main reasons for the aerodynamic transition from laminar into turbulent flow focusing on the airfoil-structure is the aerodynamic shape and the surface roughness. The Institute of Composite Structures and Adaptive Systems at the German Aerospace Center in Braunschweig works on the optimization of the aerodynamic-loaded structure of future aircrafts in order to increase their efficiency. Providing wing structures suited for natural laminar flow is a step towards this goal. Regarding natural laminar flow, the structural design of the leading edge of a wing is of special interest. An approach for a gap-less leading edge was developed to provide a gap- and step-less high quality surface suited for natural laminar flow and to reduce slat noise. In a national project the first generation of the 3D full scale demonstrator was successfully tested in 2010. The prototype consists of several new technologies, opening up the issue of matching the long and challenging list of airworthiness requirements simultaneously. Therefore the developed composite structure was intensively tested for further modifications according to meet requirements for abrasion, impact and deicing basically. The former presented structure consists completely of glass-fiber-prepreg (GFRP-prepreg). New functions required the addition of a new material-mix, which has to fit into the manufacturing-chain of the composite structure. In addition the hybrid composites have to withstand high loadings, high bending-induced strains (1%) and environmentally influenced aging. Moreover hot-wet cycling tests are carried out for the basic GFRP-structure in order to simulate the long term behavior of the material under extrem conditions. The presented paper shows results of four-points-bending-tests of the most critical section of the morphing leading edge device. Different composite-hybrids are built up and processed. An experimental based trend towards an optimized material design will be shown.
Experimental characterization of simultaneous gust alleviation and energy harvesting for multifunctional wing spars
This paper details experimental characterization of an autonomous gust alleviation system building upon recent advances in harvester, sensor and actuator technology that have resulted in the possibility of thin, ultra-light weight multilayered wing spars. This multifunctional spar considers an autonomous gust alleviation system for small UAV powered by the harvested energy from ambient vibration during their normal flight conditions. Experimental characterization is performed on cantilever wing spars with micro-fiber composite transducers controlled by reduced energy controllers. Energy harvesting abilities of monolithic and micro fiber composite transducers are also compared for the multifunctional wing spar. Normal flight vibration and wind gust signals are simulated using Simulink and Control desk and then generated for experimental validation analysis for gust alleviation. Considering an aluminum baseline multifunctional wing spar, a reduction of 11dB and 7dB is obtained respectively for the first and the second mode. Power evaluations associated with various electronic components are also presented. This work demonstrates the use of reduced energy control laws for solving gust alleviation problems in small UAV, provides the experimental verification details, and focuses on applications to autonomous light-weight aerospace systems.
Modeling, Simulation, Signal Processing, and Control of Integrated Systems I
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Piezoelectric Low Net Passive Stiffness (LNPS) flutter test vane
This paper outlines the design, fabrication and testing of a new, high performance piezoelectrically driven aircraft flutter test vane. This flutter test vane utilizes low-net passive stiffness (LNPS) actuator configurations to produce deflection amplification ratios on the order of 5:1 while maintaining full blocked moment generation capability. With an order of magnitude lower weight than conventional vanes, the LNPS flight flutter test vane is capable of producing larger amplitude structural deflections with smaller force levels because vane forcing waveforms, frequencies and phasing can be very exactingly controlled with respect to each other. The paper covers the fundamental driving theories behind the device, actuator geometry, test article layout, fabrication and testing. This device was wind tunnel tested at airspeeds up to 110 ft/s with excellent correlation between theory and experiment. Experimental tests show an improvement in angular deflection and delta lift forces from approximately ±1.8 deg. and 0.45 lbf to ±8.5 deg. and 1.45 lbf, respectively. The flutter test vane consumes only 1W of peak power at max. actuation frequency, drastically reducing the impact of electrical power supply lines on the modal mass of the wing. This paper describes the modeling, testing and evaluation of the adaptive flutter test vane and quantifies the implications on the current state of flight flutter testing.
Mechanical and vibration testing of carbon fiber composite material with embedded piezoelectric sensors
Kirsten P. Duffy, Bradley A. Lerch, Nathan G. Wilmoth, et al.
Piezoelectric materials have been proposed as a means of decreasing turbomachinery blade vibration either through a passive damping scheme, or as part of an active vibration control system. For polymer matrix fiber composite (PMFC) blades, the piezoelectric elements could be embedded within the blade material, protecting the brittle piezoceramic material from the airflow and from debris. Before implementation of a piezoelectric element within a PMFC blade, the effect on PMFC mechanical properties needs to be understood. This study attempts to determine how the inclusion of a packaged piezoelectric patch affects the material properties of the PMFC. Composite specimens with embedded piezoelectric patches were tested in four-point bending, short beam shear, and flatwise tension configurations. Results show that the embedded piezoelectric material does decrease the strength of the composite material, especially in flatwise tension, attributable to failure at the interface or within the piezoelectric element itself. In addition, the sensing properties of the post-cured embedded piezoelectric materials were tested, and performed as expected. The piezoelectric materials include a non-flexible patch incorporating solid piezoceramic material, and two flexible patch types incorporating piezoelectric fibers. The piezoceramic material used in these patches was Navy Type-II PZT.
Vibroacoustic studies on sounding rocket bulkheads
Jeffrey L. Comrie, Umesh A. Korde
The natural frequency coupling of 2 components of a sounding rocket system is studied, the forward bulkhead (commonly referred to as the "bulkhead" or "BH") and the payload cavity within the fairing. The bulkhead was modeled as a thin, flat, circular plate with a clamped boundary condition. The payload cavity was modeled as a column of air with closed ends contained by the rocket fairing. Both components were studied individually, and added together to obtain a coupled effect. The components were studied in terms of theoretical calculations and understanding, while testing the theory against experiments conducted in the laboratory. When appreciable differences between theory and experimental results were within reason for the individual components, the coupled system was tested. This methodology enabled a "piecewise" approach to studying and acquiring natural frequency shifting of the sounding rocket model through coupling. Experimental work for frequency tuning of the bulkhead through internal pressure modulation is presented. Guidelines for improvement of the vibroacoustic response through structural redesign and frequency tuning of sounding rockets are detailed.
Mathematical modelling of postbuckling in a slender beam column for active stabilisation control with respect to uncertainty
Georg C. Enss, Roland Platz, Holger Hanselka
Buckling is an important design constraint in light-weight structures as it may result in the collapse of an entire structure. When a mechanical beam column is loaded above its critical buckling load, it may buckle. In addition, if the actual loading is not fully known, stability becomes highly uncertain. To control uncertainty in buckling, an approach is presented to actively stabilise a slender flat column sensitive to buckling. For this purpose, actively controlled forces applied by piezoelectric actuators located close to the column's clamped base stabilise the column against buckling at critical loading. In order to design a controller to stabilise the column, a mathematical model of the postcritically loaded system is needed. Simulating postbuckling behaviour is important to study the effect of axial loads above the critical axial buckling load within active buckling control. Within this postbuckling model, different kinds of uncertainty may occur: i) error in estimation of model parameters such as mass, damping and stiffness, ii) non-linearities e. g. in the assumption of curvature of the column's deflection shapes and many more. In this paper, numerical simulations based on the mathematical model for the postcritically axially loaded column are compared to a mathematical model based on experiments of the actively stabilised postcritically loaded real column system using closed loop identification. The motivation to develop an experimentally validated mathematical model is to develop of a model based stabilising control algorithm for a real postcritically axially loaded beam column.
Energy Harvesting and Scavenging III: General Energy Harvesting II
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Stabilization of a wide-band nonlinear vibration energy harvester by using a nonlinear self-excitation circuit
Arata Masuda, Atsuko Senda
In this paper, a wide-band vibration energy harvester using a nonlinear hardening oscillator with self-excitation circuit is presented. A vibration energy harvester is one of the energy-harvesting devices that collects unused energy from vibrating environment. For the conventional linear vibration energy harvester, the resonance frequency is matched to the source frequency, and the mechanical Q factor is designed as large as possible to maximize the oscillator's amplitude. The large Q factor, however, bounds the resonance in a narrow frequency band, and the performance of the vibration energy harvester can become extremely worth when the frequency of the vibration source fluctuates. As is well known, the resonance frequency band can be expanded by introducing a hardening (or softening) nonlinear oscillator. However, it is difficult for the nonlinear vibration energy harvester to maintain the regenerated power constant because such nonlinear oscillator can have multiple stable steady-state solutions in the resonance band. In this paper, a control law that switches the load resistance between positive and negative values according to the instantaneous displacement and the velocity is proposed to give the oscillator a self-excitation capability, which ensures the oscillator entrained by the excitation only in the largest amplitude solution. Moreover, an adaptive adjustment of the control law is proposed to quicken the entrainment process. Numerical analysis shows that the nonlinear vibration energy harvester with resistance switching can maintain the large amplitude response even when the excitation frequency abruptly changes.
Energy harvesting device for power generation onboard gravity-dropped weapons
J. Rastegar, R. Murray, M. Bridge
This paper describes the development and construction of an energy harvesting device to provide a safe, reliable source of electrical energy onboard gravity-dropped weapons such as aerial bombs. The generators collect and store mechanical energy as the weapon falls away from the aircraft. Only after the weapon has fallen away from the aircraft is the stored mechanical energy released, generating electricity through a hybrid piezoelectric and electromagnetic generation method. The design, construction, and testing of the generator is discussed at length. Conceptual designs for integrating the described energy harvester alongside current and alternative sources of electrical power are also discussed.
Improved pen harvester for powering a pulse rate sensor
Anthony Marin, Patrick Heitzmann, Jens Twiefel, et al.
With the continued advancement in electronics the power requirement for micro-sensors has been decreasing opening the possibility for incorporating on-board energy harvesting devices to create self-powered sensors. The requirement for the energy harvesters are small size, light weight and the possibility of a low-budget mass production. In this study, we focus on developing an energy harvester for powering a pulse rate sensor. We propose to integrate an inductive energy harvester within a commonly available pen to harvest vibration energy from normal human motions like jogging and jumping. An existing prototype was reviewed which consists of a magnet wedged between two mechanical springs housed within a cylindrical shell. A single copper coil surrounds the cylindrical shell which harvests energy through Faraday's effect during magnet oscillation. This study reports a design change to the previous prototype providing a significant reduction in the device foot print without causing major losses in power generation. By breaking the single coil in the previous prototype into three separate coils an increase in power density was achieved. Several pulse rate sensors were evaluated to determine a target power requirement of 0.3 mW. To evaluate the prototype as a potential solution, the harvester was excited at various frequencies and accelerations typically produced through jogging and jumping motion. The improved prototype generated 0.043 mW at 0.56 grms and 3 Hz; and 0.13 mW at 1.14 grms at 5 Hz. The design change allowed reduction in total volume from 8.59 cm3 to 1.31 cm3 without significant losses in power generation.
Modeling and experiment of a multiple-DOF piezoelectric energy harvester
Lihua Tang, Yaowen Yang, Hao Wu
Vibration energy harvesters have been usually designed as single-degree-of-freedom (1DOF) systems. The fact that such harvesters are only efficient near sole resonance limits their applicability in frequency-variant and random vibration scenarios. In this paper, a novel multiple-DOF piezoelectric energy harvester model (PEHM) is developed, which comprises a primary mass and n parasitic masses. The parasitic masses are independent of each other but attached to the primary mass. The piezoelectric element is placed between the primary mass and the base for energy generation. First, a 2DOF model is analyzed and characterized. Through parametric analysis, it is found that with a slight increase of the overall weight to the original 1DOF harvester (without parasitic masses), two close and effective peaks or one effective peak with significantly enhanced magnitude can be achieved in the power response. Subsequently, the 2DOF model is generalized to an n-DOF model and its analytical solution is derived. This solution provides a convenient tool for parametric study and design of a multiple-DOF piezoelectric energy harvester (PEH). Useful multimodal energy harvesting can be achieved with a slight increase of the overall weight. Finally, a prototype of the proposed multiple- DOF model is devised for proof of concept.
Modeling, Simulation, Signal Processing, and Control of Integrated Systems II
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Seismic fragility assessment of concrete bridge pier reinforced with shape memory alloy considering residual displacement
A. H. M. Muntasir Billah, M. Shahria Alam
Post-earthquake rapid recovery of bridge is one of the prime objectives for performance based design. Shape Memory Alloy (SMA) has the unique ability to undergo large deformation, but can regain its undeformed shape through stress removal (i.e. superelasticity), which brings about an added advantage in seismic regions. In an attempt to reduce permanent damage of concrete bridges, a hybrid RC bridge pier configuration is presented here. In the proposed configurations of bridge piers, the plastic hinge region is reinforced with SMA and the remaining portion with regular steel. Residual displacement is a critical parameter for performance based earthquake engineering as it dictates the functionality of a member after an earthquake. This paper evaluates fragility-based seismic vulnerability of SMA reinforced concrete bridge pier considering residual displacement. Fragility curves have also been used to assess the relative performance of SMA with conventional steel RC bridge pier. Probabilistic Seismic Demand Model (PSDM) has been used in generating the fragility functions. The development of these fragility curves for bridge piers aid in expressing the potential impact of SMA on the bridge pier vulnerability.
On the optimization of piezoresistive plate-based sensors with distribution of piezoresistive material
Piezoresistive sensors, which have been widely studied and applied to several applications, are usually made of a piezoresistive membrane attached to a flexible substrate, a plate. A topology optimization formulation for the design of piezoresistive plate-based sensors, for which the piezoresistive membrane disposition is optimized together with the substrate, is proposed in this work. The objective is to maximize the sensor sensitivity to external loading, as well as the stiffness of the sensor to particular loads. A material model for the piezoresistive membrane based on the Solid IsotropicMaterial with Penalizationmodel, and perfect coupling conditions between the plate and the membrane based on the "layerwise" theory for laminated plates are employed. Results for an AFM probe suggest that the performance of the sensors can be improved by using the proposed approach.
Vibration reduction on a nonlinear flexible structure through resonant control and disturbance estimator
Gabriele Cazzulani, Ferruccio Resta, Francesco Ripamonti
Large mechanical structures are often affected by high level vibrations due to their flexibility. These vibrations can reduce the system performances and lifetime and the use of active vibration control strategies becomes very attractive. In this paper a combination of resonant control and a disturbance estimator is proposed. This solution is able to improve the system performances during the transient motion and also to reject the disturbance forces acting on the system. Both control logics are based on a modal approach, since it allows to describe the structure dynamics considering only few degrees of freedom.
Control of structures featuring a new MRE isolator system
This study is focused on control of a scaled building structure using a new semi-active Variable Stiffness and Damping Isolator (VSDI). The proposed VSDI system consists of a traditional steel-rubber vibration absorber, and a magnetorhelogical elastomer (MRE) with a controllable stiffness and damping behavior. To demonstrate the feasibility of using VSDIs a 1:16 scaled, three-story building is constructed and installed on a shake table and its base is supported by four prototype VSDIs. The VSDIs can be regulated in real time by varying the applied magnetic field through a controller. A phenomenological model is proposed and implemented on VSDI devices. The scaled El Centro earthquake excitation is applied to the system, and the vibration mode is controlled by a Lyapunov-based control strategy. Results show that the a significant reduction in structural response can be achieved for both displacement and acceleration.
Measurement of strain distribution in smart materials by electron Moiré method
S. Kishimoto, H. Asanuma, Y. Tanaka, et al.
A method for measuring the stress and strain distribution in composite materials and the residual stress near the interface in smart composite has been developed. The strains are measured using electron Moiré method. In this method a very fine model grid is fabricated using the optical and electron lithography techniques on the surface of the specimen and an electron beam scan of which the spaces are almost same as that of the model grid used for the master-grid. The difference in the amount of secondary electrons per a primary electron produces the Moiré fringes that consist of bright and dark parts. The residual strain and stress around the fibers of the smart composite materials and thermal expansion ratio of a fiber and Al matrix were measured by this method.
Energy Harvesting and Scavenging III: General Energy Harvesting III
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The concurrent suppression of, and energy harvesting from, surface vibrations: experimental investigations
Vibrational energy harvesting devices are oftentimes constructed in a manner identical to classical tuned-massdampers used in vibration control applications. However, many applications and models in past work assume that the harvesters will have negligible influence on the host structure (e.g. harvesters on a bridge). In contrast, this work adopts the perspective that the energy harvester is analogous to an electromechanical vibration absorber, attenuating the structural vibrations via a dominant mechanical influence while converting the absorbed energy into electric power. One embodiment of a device serving these two purposes-passive vibration attenuation and energy harvesting-is introduced. The device utilizes a distributed piezoelectric spring layer such that as the spring is strained between the top mass layer and the vibrating host structure the piezoelectric spring generates a voltage potential across its electrodes. Two experimental studies are detailed which investigate the capability for energy harvesting vibration absorbers to meet both goals. It is found that achievement of both objectives may require compromise but with proper device design still yields a viable electrical output.
Multi-mechanism vibration harvester combining inductive and piezoelectric mechanisms
Anthony Marin, Shashank Priya
With increasing demand for wireless sensor nodes in automobile, aircraft and rail applications, the need for energy harvesters has been growing. In these applications, energy harvesters provide a more robust and inexpensive power solution than batteries. In order to enhance the power density of existing energy harvesters, a variety of multimodal energy harvesting techniques have been proposed. Multi-modal energy harvesters can be categorized as: (i) Multi-Source Energy Harvester (MSEH), (ii) Multi-Mechanism Energy Harvester (MMEH), and (iii) Single Source Multi-Mode Energy Harvester (S2M2EH). In this study, we focus on developing MMEH which combines the inductive and piezoelectric mechanisms. The multi-mechanism harvester was modeled using FEM techniques and theoretically analyzed to optimize the performance and reduce the overall shape and size similar to that of AA battery. The theoretical model combining analytical and FEM modeling techniques provides the system dynamics and output power for specific generator and cymbal geometry at various source conditions. In the proposed design, a cylindrical tube contains a magnetic levitation cavity where a center magnet oscillates through a copper coil. Piezoelectric cymbal transducers were mounted on the top and bottom sections of the cylindrical shell. In response to the external vibrations, electrical energy was harvested from the relative motion between magnet and coil through Faraday's effect and from the piezoelectric material through the direct piezoelectric effect. Experimental results validate the predictions from theoretical model and show the promise of multimodal harvester for powering wireless sensor nodes in automobile, aircraft, and rail applications.
Novel motion-doubling mechanism for improved piezoelectric energy-harvesting performance
A novel technique is presented for transmitting forces to piezoelectric elements in electrical energy harvesting applications. The approach results in amplifying any force transmitted to the piezoelectric element. Additionally, the frequency of any cyclical input force is doubled. The increased performance and scalability of the technique make possible its employment in a wide variety of energy harvesting applications. The methods and designs may be mated to a number of intermediate energy harvesting techniques, which are discussed in detail with analysis of complete energy harvesting devices including specific applications in munitions.
SMA- and Piezo-based Materials and Systems I
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Multifunctional smart material system (MSMS) using shape memory alloys and shape memory polymers
A Multifunctional smart material system consists of two or more different smart material phases in the form of a hybrid system, in which every phase performs a different but necessary function. In this work, we show how thermally responsive Shape memory alloys (SMA) and Shape Memory Polymers (SMP) can be combined to form a Multifunctional Smart Material system (MSMS). The transformation temperatures Mf, Ms, As and Af of SMA and the glass transition Tg for the SMP play a critical role in designing such a MSMS. We illustrate how varying the Tg of SMP between the transformation temperatures Mf and Af of SMA results in a multi-state smart bias system with varying stiffnesses. In addition, we establish guidelines for the volume fractions of the individual constituents of such MSMSs to form "smart-bias" tools/devices. We further propose various ideas for smart devices that can operate through three temperature ranges, with one material constituent being passive and the other active at a given temperature.
Reducing vibration in carbon fiber structures with piezoelectric actuators and fiber Bragg grating sensors
Gabriele Cazzulani, Simone Cinquemani, Lorenzo Comolli, et al.
Carbon fiber structures are claimed to offer several advantages such as contained mass, high stiffness and low thermal expansion. However, these structures are characterized by a very low mechanical damping and, therefore, they are easily subjected to potentially dangerous vibratory phenomenon. Active control techniques have been widely developed to suppress vibration and great progresses have been achieved. On the other hand the research on sensors and actuators to be used is still a field of interest. The paper discusses the opportunity to use piezoelectric actuators (PZT) and Fiber Bragg Grating sensors (FBG) to realize a smart structure including in itself both the sensing and the actuating devices. Fiber optic strain sensors, such as Fiber Bragg Gratings, have a great potential in the use in smart structures thanks to their small transversal size and the possibility to make an array of many sensors. Even if this is not the case of the reported study, they can be embedded between carbon fiber layers and their effect on the structure is usually negligible. Such a structure is able to measure its state of excitation and to reduce the amplitude of vibration using the PZT actuators. Different control strategies have been implemented on a test rig consisting on a carbon fiber cantilever beam with 14 FBG sensors and 3 PZT actuators. Control forces are designed to increase the damping of the structures, allowing to increase of damping of the first modes of vibration of about 10 times.
Micro and Nano Integrated Systems
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Design and analysis of a 10GHz LC-VCO using MEMS inductor
This paper presents design and analysis of a 10GHz inductance-capacitance (LC)-Voltage-Controlled Oscillators (VCO) implemented with a very high quality (Q) factor on-chip Micro-Electro-Mechanical Systems (MEMS) inductor using 0.25μm silicon-on-sapphire (SOS) technology. A new symmetric topology of suspended MEMS inductor is proposed to reduce the length of the conductor strip and achieve the lowest series resistance in the metal tracks. This MEMS inductor has been suspended above the high resistivity SOS substrate to minimise the substrate loss and therefore, achieve a very high Q-factor inductor. A maximum Q-factor of 191.99 at 11.7GHz and Q-factor of 189 at 10GHz has been achieved for a 1.13nH symmetric MEMS inductor. The proposed inductor has been integrated with a VCO on the same substrate using the Metal layers in SOS technology removing the need for additional bond wire. The 10GHz LC-VCO has achieved a phase noise of -116.27dBc/Hz and -126.19dBc/Hz at 1MHz and 3MHz of offset frequency, respectively. It consumes 4.725mW of power from 2.5V supply voltage while achieving a Figure of Merit (FOM) of -189.5dBc/Hz.
Design and analysis of film bulk acoustic wave resonator in Ku-band frequency for wireless communication
This paper presents design of a Film Bulk Acoustic Wave Resonators (FBARs) consisting of piezoelectric film, aluminium nitride (AlN) with top and bottom electrodes of ruthenium (Ru). The lumped Butterworth-Van Dyke (BVD) Circuit model is used to investigate the theoretical harmonic response and extraction equivalent circuit of the FBAR. A three-dimensional (3D) Finite Element Method (FEM) is used to evaluate the electro-mechanical performance of the FBAR. The one-dimension (1D) numerical and the 3D FEM simulation results are analysed and compared. The results show that coupling coefficient (k2 eff) up to 7.0% can be obtained with optimised thickness ratio of electrode/piezoelectric layers. A Figure of Merit (FOM) that considers k2 eff and quality (Q) factor is used for comparison. The area of FBAR is 900μm2 and the active filter area size of the FBAR filter is 5400μm2. The FBAR filter is designed for operation in Kuband with centre frequency of 15.5 GHz and fractional bandwidth of 2.6%. The proposed FBAR filter has insertion loss of -2.3dB which will improve the performance of Ku-band transceiver and improve communication range and data rates in Ku-band communication links.
Photo-responsible gel actuator developed with scanning microscopic light scattering
Hidemitsu Furukawa, Mayumi Yoshikawa, Kyoko Yamada, et al.
Sensitive deformation of polymer gel actuator induced by various stimuli has been intensively investigated. The utilization of light however will significantly broaden their applications. Here we show that photo-responsive gels prepared from rigid poly(amide acid) chains having azobenzene moieties in main chains can undergo a macroscopic deformation induced by photo-isomerization. A rod-shape gel can sharply and swiftly bend by blue laser irradiation and reversibly straighten when exposed to visible light. By using a scanning microscopic light scattering, the optimal preparing condition of the gels was determined and the reversible change in mesh-size between 2.1 nm and 0.83 nm was observed.
SMA- and Piezo-based Materials and Systems II
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Power enhancement of piezoelectric transformers by adding thermal pad
Y. H. Su, Y. P. Liu, D. Vasic, et al.
It is well known that power density of piezoelectric transformers is limited by mechanical stress. The power density of piezoelectric transformers calculated by the stress boundary can reach 330 W/cm3. However, no piezoelectric transformer has ever reached such a high power density in practice. The power density of the piezoelectric transformer is limited to 33 W/cm3 typically. This fact implies that there is another physical limitation in piezoelectric transformer. In fact, it is also known that piezoelectric material is constrained by vibration velocity. Once the vibration velocity is too large, the piezoelectric transformer generates heat until it cracks. To explain the instability of piezoelectric transformer, we will first model the relationship between vibration velocity and resulting heat by a physical feedback loop. It will be shown that the vibration velocity as well as the heat generation determines the loop gain. A large vibration velocity and heat may cause the feedback loop to enter into an unstable state. Therefore, to enhance the power capacity of piezoelectric transformer, the heat needs to be dissipated. In this paper, we used commercial thermal pads on the surface of the piezoelectric transformer to dissipate the heat. The mechanical current of piezoelectric transformers can move from 0.382A/2W to 0.972A/9W at a temperature of 55°C experimentally. It implies that the power capacity possibly increases 3 times in the piezoelectric material. Moreover, piezoelectric transformers that are well suited in applications of high voltage/low current becomes also well suited for low voltage/high current power supplies that are widely spread. This technique not only increases the power capacity of the piezoelectric transformer but also allows it to be used in enlarged practical applications. In this paper, the theoretical modeling will be detailed and verified by experiments.
Linear and non-linear systems identification for adaptive control in mechanical applications vibration suppression
Gabriele Cazzulani, Ferruccio Resta, Francesco Ripamonti
During the last years, more and more mechanical applications saw the introduction of active control strategies. In particular, the need of improving the performances and/or the system health is very often associated to vibration suppression. This goal can be achieved considering both passive and active solutions. In this sense, many active control strategies have been developed, such as the Independent Modal Space Control (IMSC) or the resonant controllers (PPF, IRC, . . .). In all these cases, in order to tune and optimize the control strategy, the knowledge of the system dynamic behaviour is very important and it can be achieved both considering a numerical model of the system or through an experimental identification process. Anyway, dealing with non-linear or time-varying systems, a tool able to online identify the system parameters becomes a key-point for the control logic synthesis. The aim of the present work is the definition of a real-time technique, based on ARMAX models, that estimates the system parameters starting from the measurements of piezoelectric sensors. These parameters are returned to the control logic, that automatically adapts itself to the system dynamics. The problem is numerically investigated considering a carbon-fiber plate model forced through a piezoelectric patch.
Development of d33-mode piezocomposite generating element
Recently, piezocomposite generating elements (PCGEs) have been proposed for improving the electricity generation performance of piezoceramic wafers. The residual stress in the PZT layer after curing is one of the main reasons for PCGE's enhanced performance, and the outer epoxy-based composites protect the brittle PZT layer. In this work, we propose a d33-mode PCGE that can be used for energy harvesting. The piezoelectric coefficient d33 of the generating element was used as a measure of the electricity generating performance. We fabricated several PCGEs and conducted energy harvesting experiments to verify the concept of the d33-mode coefficient of generating element.
Energy Harvesting and Scavenging IV: Design of Energy Harvesting Systems
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Multi-link piezoelectric structure for vibration energy harvesting
Rameen M. Aryanpur, Robert D. White
Work in piezoelectric vibration energy harvesting has typically focused on single member cantilevered structures with transverse tip displacement at a known frequency, taking advantage of the optimal coupling characteristics of piezoceramics in the 3-1 bending mode. Multi-member designs could be advantageous in delivering power to a load in environments with random or wide-band vibrations. The design presented in this work consists of two hinged piezoceramic (PZT-5A) beams x-poled for series operation. Each beam measures 31.8mm x 12.7mm x 0.38mm and consists of two layers of nickel-plated piezoceramic adhered to a brass center shim. The hinge device consists of two custom-machined aluminum attachments epoxied to the end of a beam and connected using a 1.59mm diameter alloy steel dowel. A stainless steel torsion spring is placed over the pin and attached to the aluminum body to provide a restoring torque when under rotation. The design is modeled using the piezoelectric constitutive equations to solve for voltage and power for a set of electromechanical boundary conditions. Experimental measurements on the design are achieved by bolting one end of the structure to a vibration shaker and fixing the other to a rigid framework of industrial aluminum framing material. For a given frequency of vibration, power output of the structure can be obtained by measuring voltage drop across a resistive load.
Magneto Rheological Systems II
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Dynamic behavior of thick magnetorheological elastomers
Experimental studies are conducted to investigate the dynamic shear properties of thick magnetorheological elastomers (MREs) which are affected by increasing the thickness, as well as the percentage of iron particles contained in these materials. MREs with thicknesses of 25.4mm, 19.05mm, 12.7mm, 6.25mm and 3.05mm and with various iron particle percentages are studied. A dynamic double-lap shear test setup is designed and built to conduct the experimental study. The results demonstrate that the thickness of MREs significantly affect the material properties in the "off" state, that is, when no magnetic field is applied. However, in the "on" state, when the material is activated by a magnetic field, the thickness of the sample does not show a significant effect on the change in storage modulus induced by a magnetic field. This change remains constant for all samples with different thicknesses under the same magnetic field.
MRF actuators with reduced no-load losses
Dirk Güth, Jürgen Maas
Magnetorheological fluids (MRF) are smart fluids with the particular characteristics of changing their apparent viscosity significantly under the influence of a magnetic field. This property allows the design of mechanical devices for torque transmission, such as brakes and clutches, with a continuously adjustable and smooth torque generation. A challenge that is opposed to a commercial use, are durable no-load losses, because a complete torque-free separation due to the permanent liquid intervention is inherently not yet possible. In this paper, the necessity of reducing these durable no-load losses will be shown by measurements performed with a MRF brake for high rotational speeds of 6000min-1 in a first step. The detrimental high viscous torque motivates the introduction of a novel concept that allows a controlled movement of the MR fluid from an active shear gap into an inactive shear gap and thus an almost separation of the fluid engaging surfaces. Simulation and measurement results show that the viscous induced drag torque can be reduced significantly. Based on this new approach, it is possible to realize MRF actuators for an energy-efficient use in the drive technology or power train, which avoid this inherent disadvantage and extend additionally the durability of the entire component.
A tunable 'negative' stiffness system for vibration control
Zhaochun Li, Xiaojie Wang, Majid Behrooz, et al.
Commonly used variable stiffness methods for vibration control are employed to alter a system's resonant frequency by increasing its stiffness. The concept of "negative" stiffness could be used to decrease the system stiffness; thus, reducing resonant systems' frequency. A tunable stiffness isolation device (TSID) with negative stiffness capability enables a controlled mass to be isolated in a large range of excitation frequencies. This study presents theoretical and experimental investigations of a tunable stiffness system with negative stiffness. The proposed system comprises two electromagnets, two rubber elements and a mass. The negative stiffness effect is obtained from a magnetic force which is nearly a linear function of amplitude in small vibrations. A finite element analysis is performed to obtain a relation between the magnetic force and geometrical dimensions, as well as electromagnets' characteristics. The force transmissibility of the system under different applied currents for a frequency range of 30 to 120Hz is investigated. The results show that the system's resonant frequency decreases with the increased applied magnetic field.
A bi-annular-gap magnetorheological energy absorber for shock and vibration mitigation
For semi-active shock and vibration mitigation systems using magnetorheological energy absorbers (MREAs), the minimization of the field-off damper force of the MREA at high speed is of particular significance because the damper force due to the viscous damping at high speed becomes too excessive and thus the controllable dynamic force range that is defined by the ratio of the field-on damper force to the field-off damper force is significantly reduced. In this paper, a bi-annular-gap MREA with an inner-set permanent magnet is proposed to decrease the field-off damper force at high speed while keeping appropriate dynamic force range for improving shock and vibration mitigation performance. In the bi-annular-gap MREA, two concentric annular gaps are configured in parallel so as to decrease the baseline damper force and both magnetic activation methods using the electromagnetic coil winding and the permanent magnet are used to keep holding appropriate magnetic intensity in these two concentric annular gaps in the consideration of failure of the electric power supply. An initial field-on damper force is produced by the magnetic field bias generated from the inner-set permanent magnet. The initial damper force of the MREA can be increased (or decreased) through applying positive (or negative) current to the electromagnetic coil winding inside the bi-annular-gap MREA. After establishing the analytical damper force model of the bi-annular-gap MREA using a Bingham-plastic nonlinear fluid model, the principle and magnetic properties of the MREA are analytically validated and analyzed via electromagnetic finite element analysis (FEA). The performance of the bi-annular-gap MREA is also theoretically compared with that of a traditional single-annular- gap MREA with the constraints of an identical volume by the performance matrix, such as the damper force, dynamic force range, and Bingham number with respect to different excitation velocities.
Passive and Active Vibration Isolation II
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Multiband damping of resonant vibrating piezoelastic structures by using digital adaptive passive shunting
Helmut Wernick, Johannes Korak
This contribution is concerned with passive vibration damping via a digital shunting device. This device is capable to simulate arbitrary R-L input / output-phase behaviour and is able to adjust these parameters in real time to fulfil the underlying structural demands. The virtual resonator is coupled with a capacitive piezoelectric patch bonded on the vibrating structure. The software implementation of the R-L circuit offers the possibility of adaptive adjustment and frequency tracking in case of eigenfrequency shifts on the vibrating structure that can happen due to temperature and structural stress changes. The multi band damping is realized by increasing the number of virtual R-L shunts connected in parallel. In order to separate the individual resonators and decrease the mutual influence, an additional virtual capacitor for each R-L section is needed. The algorithms are evaluated on a simple mathematical example equipped with a piezoelectric element. To demonstrate the capabilities of the system tests were carried out on a steel plate and a mechanical harmonic oscillator. By placing the patch on a common anti-node of different frequencies the digital shunting device is able to damp selected eigenfrequencies. The effectiveness of the passive shunting device was demonstrated during tests, where a reduction of the vibration level up to 15 dB was achieved.
Integrated framework for jitter analysis combining disturbance, structure, vibration isolator and optical model
Dae-Oen Lee, Jae-San Yoon, Jae-Hung Han
Micro-vibration induced by actuating components of the satellite can severely degrade the optical performance of high precision observation satellites. In this paper, an integrated analysis framework combining disturbance, structure, vibration isolator and optical system model is developed for evaluating the performance of optical payloads in the presence of micro-vibration, and the effectiveness of using a vibration isolator for performance enhancement. Reaction wheel generated disturbance, usually the largest anticipated disturbance, is modeled including the disturbances' interaction with the structural modes of the wheel. For structure modeling, a finite element program is used to solve for eigenvalues and eigenvectors of a structure model which are then used to create a state space model in modal form. A vibration isolator model capturing dynamics of an active isolator utilizing piezoelectric based actuator and load cell for feedback control is included to reduce the transmission of reaction wheel disturbances to the base structure. Dynamic response of the structure to reaction wheel disturbances is calculated with and without vibration isolator. The resulting jitter is used to obtain modulation transfer function (MTF) of diffraction limited optical system model, and the obtained MTF is used as spatial frequency filter for image simulation.
Development and performance study of a magnetic aerostatic vibration isolation platform
This paper presents our development of a compact and magnetic-aerostatic vibration isolation platform for small equipments such as AFM-system, which combines the electromagnetic and aerostatic principles to create a semiactive damping effect. For the aerostatic principle, the concept of cap-shaped bearing form is applied to combine radial and axial bearings inside a cap-shaped air film to enhance the bearing capacity. The axial aerostatic bearing provides the main supporting force for the vibration isolation platform, and the radial aerostatic bearing creates frictionless and accurate guide for the platform. The electromagnetic coil is used to generate attractive force to counterbalance the axial aerostatic bearing force. Through this force counterbalance, not only the axial bearing stiffness can be minimized but also the axial position of the platform can be precisely controlled. In the axial positioning control, a hall element and a magnet are used to realize a non-contact displacement measurement with less loading effect. Besides, the robust PID control algorithm is chosen as the main core of the positioning control. For optimization and performance verification, finite element analyses and experiments are carried out to comprehend its electromagnetic and aerostatic effects.
Poster Session
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Peeling stress analysis of piezo-bonded laminated composite plate
Bin Huang, Heung Soo Kim
A stress function based method is proposed to analyze the interlaminar stresses at the free edge of a piezo-bonded composite laminated structure. Two piezoelectric actuators are symmetrically surface bonded on composite laminate. Same electric fields are applied to the two symmetric piezoelectric actuators which can generate induced strain, resulting in pure extension on the laminated plate. The stresses that satisfy the traction-free boundary conditions at the free edge and at the top and bottom surfaces of the laminate were obtained by using the complementary virtual work principle. Cross-ply and angle-ply laminates were analyzed. To verify the proposed method, the stress concentrations predicted by the present method were compared with those analyzed by the finite element method. The results provided that the stress function based analysis of piezo-bonded laminated composite structure is an efficient and accurate method for initial design stage of piezo-composite structure.
Inter-crosslinking network gels having both shape memory and high ductility
Medical treatment for injuries should be easy and quick in many accidents. Plasters or bandages are frequently used to wrap and fix injured parts. If plasters or bandages have additional smart functions, such as cooling, removability and repeatability, they will be much more useful and effective. Here we propose innovative biocompatible materials, that is, nontoxic high-strength shape-memory gels as novel smart medical materials. These smart gels were prepared from two monomers (DMAAm and SA), a polymer (HPC), and an inter-crosslinking agent (Karenz-MOI). In the synthesis of the gels, 1) a shape-memory copolymer network is made from the DMAAm and the SA, and 2) the copolymer and the HPC are crosslinked by the Karenz-MOI. Thus the crosslinking points are connected only between the different polymers. This is our original technique of developing a new network structure of gels, named Inter-Crosslinking Network (ICN). The ICN gels achieve high ductility, going up to 700% strain in tensile tests, while the ICN gels contain about 44% water. Moreover the SA has temperature dependence due to its crystallization properties; thus the ICN gels obtain shape memory properties and are named ICN-SMG. While the Young's modulus of the ICN-SMG is large below their crystallization temperature and the gels behave like plastic materials, the modulus becomes smaller above the temperature and the gels turn back to their original shape.
Soft and wet actuator developed with responsible high-strength gels
Novel high-strength gels, named double network gels (DN gels), show a smart response to altering external electric field. It was reported that a plate shape of the DN gel bends toward a positive electrode direction when a static (DC) electric field is applied. Based on this previous result, it has been tried to develop a novel soft and wet actuator, which will be used as an automatically bulging button for cellar phones, or similar small devices. First, a bending experiment of a hung plate-shape DN gel was done, and its electric field response was confirmed. Second, the response of a lying plate-shape DN gels was confirmed in order to check the bulging phenomena. The edge of three plate-shape gels that was arranged radially on a plane surface was lifted 2mm by applying DC 8V. This system is a first step to make a gels button. However the critical problem is that electrolysis occurs simultaneously under electric field. Then, the water sweep out from gels, and gels is shrinking; They cause the separation between aluminum foil working as electrode and gels. That is why, a flexible electrode should be made by gels completely attached to the gels. As a third step, a push button is tried to make by a shape memory gels (SMG). The Young's modulus of the SMG is dramatically changed by temperature. This change in the modulus is applied to control the input-acceptable state and input-not-acceptable states of the button. A novel push button is proposed as a trial, and its user-friendliness is checked by changing the size of the button. The button is deformed by pushing and is back to original shape due to the property of shape memory. We believe the mechanism of this button will be applied to develop new devices especially for visually impaired persons.
Active vibration control of a submerged cylindrical shell by piezoelectric sensors and actuators
Moon K. Kwak, Dong-Ho Yang, Jae-Ha Lee
The active vibration control of a submerged cylindrical shell by piezoelectric sensors and actuators is investigated. The fluid is assumed to be inviscid and irrotational in developing a theoretical model. The cylindrical shell is modelled by using the Rayleigh- Ritz method based on the Donnell-Mushtari shell theory. The fluid motion is modelled based on the baffled shell model, which is applied to the fluid-structure interaction problem. The kinetic energy of the fluid is derived by solving the boundary-value problem. The resulting equations of motion are expressed in matrix form, which enables us to design control easily. The natural vibration characteristics of the cylindrical shell in air and in water are investigated both theoretically and experimentally. The experimental results show that the natural frequencies of the submerged cylindrical shell decrease to a great extent compared the natural frequencies in air. However, the natural mode shapes for lower modes are not different from the mode shapes in air. Two MFC actuators were glued to the shell and the positive position feedback control was applied. Experiments on the active vibration control of the submerged cylindrical shell were carried out in water tank. Both theoretical and experimental results showed that both vibrations and sound radiation can be suppressed by piezoelectric actuators.
A novel method for piezoelectric energy harvesting from keyboard
Levent Beker, Ali Muhtaroglu, Haluk Külah
This paper presents a novel method and apparatus for converting keystrokes to electrical energy using a resonant energy harvester, which can be coupled with keyboards. The state-of-the-art dome switch design is modified to excite the tip of the energy harvester beam. Piezoelectric transduction converts vibrations to electrical power. The energy harvester design is optimized to give highest voltage output under use conditions, and is fabricated. A close match is observed for the first natural frequency. When the piezoelectric energy harvester is excited at 7.62 Hz with tip excitation to emulate keyboard use, 16.95 μW of power is generated.
Maximizing PV module harvested output power using a computer-based automatic sun tracker
Ali Abou-Elnour, Ahmad Altamimi, Taha Anajamrooz, et al.
In the present work, a computer based photovoltaic sun tracker module is designed and implemented. Monitoring, controlling, and recording features are fully obtained in the present system using an efficient programming environment Design equations which are implemented allow the usage of the system anywhere anytime without extra hardware tracking circuits. A carefully design hardware motor deriving circuit is designed and implemented to simplify the controlling program without scarifying the required accuracy. The system generates the motors' controlling signals to allocate the photovoltaic module to receive the maximize amount of the solar energy on its surface from sunrise to sunset. The proposed system is successfully implemented for photovoltaic modules under realistic operating conditions.
Dynamic control of beams acted by multiple moving masses in resonance state using piezo-ceramic actuators
M. Mofid, S. Eftekhar Azama, R. Afghani Khorasgani
In this article the constitutive equation of an Euler-Bernoulli beam, excited by multiple moving masses is considered. A set of multiple piezo-ceramic actuators is used to harness the dynamic response of the beam. In this regard the beam response is suppressed by utilizing a linear control algorithm with a time varying gain matrix and displacement-velocity feedback. The efficiency of the results is investigated through the numerical analysis of an example problem.
Three-dimensional base-isolation system using thick rubber bearings
T. Wang, F. Wang
Seismic isolation technique, which has been successfully applied for traditional buildings for many years, is an appealing option to render nuclear power plants a larger seismic margin from design earthquakes and standardize the seismic design procedure for different locations with various seismic fortification intensities. Considering the seismic demand from installed facilities and pipes within the plants, a three-dimensional base isolation technique is developed in this study. A simplified single-degree-of-freedom model was first used to search for the suitable parameters for the base isolation layer. It is found that the vertical frequency of the base-isolated plant shall be larger than 1.0 Hz to avoid the dominated rocking mode. Time history analyses were then conducted to further explore the damping effect of the base isolation layer on the structural response indices. It is observed that the damping within the reasonable range, commonly less than 30%, is helpful to suppress structural displacement, velocity and acceleration. Accordingly, laminated rubber bearings with thick rubber layers were designed by procedures for conventional rubber bearings. Thanks to the large thickness of rubber layers, the vertical frequency was significantly reduced to the acceptable level. Experimental examination reveals that the equation used to calculate the horizontal stiffness of thick rubber bearings is accurate, while the one for the vertical stiffness needs modification.
Optimization of bond transducer vibrations using active and semiactive control
Marcus Neubauer, Michael Brökelmann, Sebastian M. Schwarzendahl, et al.
In ultrasonic wire bonding the required vibrations are generated by an ultrasonic transducer driven in its longitudinal mode. Asymmetries lead to additional orthogonal motions, which result in unwanted fluctuating normal forces in the friction contact. In this publication, a novel design of an ultrasonic transducer with control actuators is presented. The parasitic vibrations are damped in an active control and by the semi-active piezoelectric shunt damping with inductance-resistance networks. A Finite-Element model is developed to optimize the dimensions and the placement of the piezoceramics and to tune the electrical networks. Measurements are conducted on a prototype transducer which validate the simulation results.
Optimal vibration control of a rotating plate with self-sensing active constrained layer damping
Zhengchao Xie, Pak Kin Wong, Kin Heng Lo
This paper proposes a finite element model for optimally controlled constrained layer damped (CLD) rotating plate with self-sensing technique and frequency-dependent material property in both the time and frequency domain. Constrained layer damping with viscoelastic material can effectively reduce the vibration in rotating structures. However, most existing research models use complex modulus approach to model viscoelastic material, and an additional iterative approach which is only available in frequency domain has to be used to include the material's frequency dependency. It is meaningful to model the viscoelastic damping layer in rotating part by using the anelastic displacement fields (ADF) in order to include the frequency dependency in both the time and frequency domain. Also, unlike previous ones, this finite element model treats all three layers as having the both shear and extension strains, so all types of damping are taken into account. Thus, in this work, a single layer finite element is adopted to model a three-layer active constrained layer damped rotating plate in which the constraining layer is made of piezoelectric material to work as both the self-sensing sensor and actuator under an linear quadratic regulation (LQR) controller. After being compared with verified data, this newly proposed finite element model is validated and could be used for future research.
Development of cantilevered energy harvesters coupled with a topologically optimized piezoelectric layer oscillating in vortex
An efficient design analysis method for cantilevered beam-type piezoelectric energy harvesters was developed for the prediction of the electric power output, based on the finite element method and the design optimization of piezoelectric materials. The optimum topology of a piezoelectric material layer could be obtained by a newly developed topology optimization technique for piezoelectric materials which utilized the electromechanical coupling equations, MMA (method of moving asymptotes), and SIMP (solid isotropic material with penalization) interpolation. Using the design optimization tool, several cantilevered beam-type piezoelectric energy harvesters which fluctuated in the region of vortex shedding were developed, that consisted of two different material layers - piezoelectric and aluminum layers. In order to obtain maximum electric power, the exciting frequency of the cantilevered energy device must be tuned as close to the natural frequency of the beam as possible. Using the method, the effects of geometric parameters and several piezoelectric materials (PZT, PVDF, and PZT fiber composites) attached to the beam device on power generation were investigated and the electric characteristics were evaluated. The three kinds of material coefficients such as elasticity, capacitance, and piezoelectric coupling are interpolated by element density variables. Then, the shape and size design optimizations for the cantilevered beam geometries with an optimum piezoelectric topology have been performed for a base model.
Optimization of piezoelectric bistable composite plates for broadband vibrational energy harvesting
David N. Betts, H. Alicia Kim, Christopher R. Bowen, et al.
This paper presents a unique arrangement of bistable composite plates with piezoelectric patches bonded to its surface to perform broadband vibration-based energy harvesting from ambient mechanical vibrations. These bistable nonlinear devices have been shown to have improved power generation compared to conventional resonant systems and can be designed to occupy smaller volumes than bistable magnetic cantilever systems. This paper presents the results of an optimization study of bistable composites that are capable of generating greater electrical power from a smaller space by discovering the correct geometric configuration for energy harvesting. Optimum solutions are investigated in a series of design parameter studies intended to reveal the complex interactions of the physical constraints and design requirements. The proposed approach considers the optimal choice of device aspect ratio, thickness, laminate stacking sequence, and piezoelectric surface area. Increased electrical output is found for geometries and piezoelectric configurations which have not been considered previously.