Vibration control laws via shunted piezoelectric transducers: A review

Attaching a piezoelectric transducer to a vibrating structure, and shunting it with an electric circuit, gives rise to different passive, semi-passive, and semi-active control techniques. This paper attempts to review the research related to structural vibration control, via passive, semi-passive, and semi-active control methods. First, the existing electromechanical modeling is reviewed, along with the modeling methods. These range from lumped parameters, to distributed parameters modeling of piezostructural systems shunted by electrical networks. Vibration control laws are then discussed, covering passive, semi-passive, and semi-active control techniques, which are classified according to whether external power is supplied to the piezoelectric transducers, or not. Emphasis is placed on recent articles covering semi-passive and semi-active control techniques, based upon switched shunt circuits. This review provides the necessary background material for researchers interested in the growing field of vibration damping and control, via shunted piezostructural systems.

[1]  Jörg Wallaschek,et al.  Analytical and experimental investigation of the frequency ratio and switching law for piezoelectric switching techniques , 2008 .

[2]  George A. Lesieutre,et al.  AN ACTIVELY TUNED SOLID-STATE VIBRATION ABSORBER USING CAPACITIVE SHUNTING OF PIEZOELECTRIC STIFFNESS , 2000 .

[3]  William W. Clark,et al.  Semi-active vibration control with piezoelectric materials as variable-stiffness actuators , 1999, Smart Structures.

[4]  Jiong Tang,et al.  Semiactive and active-passive hybrid structural damping treatments via piezoelectric materials , 2000 .

[5]  Nesbitt W. Hagood,et al.  Experimental investigation into passive damping enhancement for space structures , 1991 .

[6]  Manfred Morari,et al.  Adaptive multi-mode resonant piezoelectric shunt damping , 2004 .

[7]  Manfred Morari,et al.  An autonomous shunt circuit for vibration damping , 2006 .

[8]  K. W. Wang,et al.  Active-passive hybrid piezoelectric networks for vibration control: comparisons and improvement , 2001 .

[9]  Fathollah Ommi,et al.  Using Acoustic Liner for Fan Noise Reduction in Modern Turbofan Engines , 2014 .

[10]  Adrien Badel,et al.  Semi-passive Piezoelectric Structural Damping by Synchronized Switching on Voltage Sources , 2006 .

[11]  Claude Richard,et al.  Self-powered circuit for broadband, multimodal piezoelectric vibration control , 2008 .

[12]  Adrien Badel,et al.  Semi-active Vibration Control of a Composite Beam by Adaptive Synchronized Switching on Voltage Sources Based on LMS Algorithm , 2009 .

[13]  Joseph J. Hollkamp,et al.  A self-tuning piezoelectric vibration absorber , 1994 .

[14]  Adrien Badel,et al.  Semi-active Vibration Control of a Composite Beam using an Adaptive SSDV Approach , 2009 .

[15]  Daniel Guyomar,et al.  Semi-passive random vibration control based on statistics , 2007 .

[16]  F.dell'Isola,et al.  Passive damping of beam vibrations through distributed electric networks and piezoelectric transducers: prototype design and experimental validation , 2010 .

[17]  Kenneth A. Cunefare,et al.  State-Switched Absorber for Vibration Control of Point-Excited Beams , 2000, Adaptive Structures and Material Systems.

[18]  Brian D. O. Anderson,et al.  Network Analysis and Synthesis: A Modern Systems Theory Approach , 2006 .

[19]  Jinhao Qiu,et al.  Semi-active vibration suppression by a novel synchronized switch circuit with negative capacitance , 2011 .

[20]  G. Caruso.  A critical analysis of electric shunt circuits employed in piezoelectric passive vibration damping , 2001 .

[21]  Nesbitt W. Hagood,et al.  Damping of structural vibrations with piezoelectric materials and passive electrical networks , 1991 .

[22]  William W. Clark,et al.  Energy Dissipation Analysis of Piezoceramic Semi-Active Vibration Control , 2001 .

[23]  Ayech Benjeddou,et al.  Advances in piezoelectric finite element modeling of adaptive structural elements: a survey , 2000 .

[24]  Nesbitt W. Hagood,et al.  Modelling of Piezoelectric Actuator Dynamics for Active Structural Control , 1990 .

[25]  Andrew S. Bicos,et al.  Structural vibration damping experiments using improved piezoelectric shunts , 1997, Smart Structures.

[26]  Daniel J. Inman,et al.  Issues in mathematical modeling of piezoelectric energy harvesters , 2008 .

[27]  Daniel Guyomar,et al.  Semi-passive damping using continuous switching of a piezoelectric device , 1999, Smart Structures.

[28]  Ronald L. Spangler,et al.  Active vibration-suppression systems applied to twin-tail buffeting , 1998, Smart Structures.

[29]  Guang Meng,et al.  Vibration control of piezoelectric smart structures based on system identification technique: Numerical simulation and experimental study , 2006 .

[30]  Seung Jo Kim,et al.  Improvement of aeroelastic stability of hingeless helicopter rotor blade by passive piezoelectric damping , 2006 .

[31]  Peter H. Rogers,et al.  State switched transducers: A new approach to high-power, low-frequency, underwater projectors , 1998 .

[32]  Shu-yau Wu,et al.  Piezoelectric shunts with a parallel R-L circuit for structural damping and vibration control , 1996, Smart Structures.

[33]  Daniel J. Inman,et al.  A survey of control strategies for simultaneous vibration suppression and energy harvesting via piezoceramics , 2012 .

[34]  Claude Richard,et al.  A broadband semi passive piezoelectric technique for structural damping , 2004, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[35]  Luc Gaudiller,et al.  Blind switch damping (BSD): A self-adaptive semi-active damping technique , 2009 .

[36]  Johannes Schweiger,et al.  Industrial approach to piezoelectric damping of large fighter aircraft components , 1998, Smart Structures.

[37]  Ayech Benjeddou,et al.  Hybrid Active-Passive Damping Treatments Using Viscoelastic and Piezoelectric Materials: Review and Assessment , 2002 .

[38]  Paolo Ermanni,et al.  Energy harvesting module for the improvement of the damping performance of autonomous synchronized switching on inductance , 2013 .

[39]  Claude Richard,et al.  Enhanced semi-passive damping using continuous switching of a piezoelectric device on an inductor , 2000, Smart Structures.

[40]  Robert W. Moses,et al.  Active smart material control system for buffet alleviation , 2006 .

[41]  Henry A. Sodano,et al.  A review of power harvesting using piezoelectric materials (2003–2006) , 2007 .

[42]  J. Qiu,et al.  Energy harvesting and vibration control using piezoelectric elements and a nonlinear approach , 2009, 2009 18th IEEE International Symposium on the Applications of Ferroelectrics.

[43]  S. O. Reza Moheimani,et al.  Adaptive piezoelectric shunt damping , 2002, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[44]  Renaud Bastaits,et al.  Synchronized switch damping on inductor and negative capacitance , 2011 .

[45]  Claude Richard,et al.  New Semi-active Multi-modal Vibration Control Using Piezoceramic Components , 2009 .

[46]  Gangbing Song,et al.  Vibration control of civil structures using piezoceramic smart materials: A review , 2006 .

[47]  Jinhao Qiu,et al.  Energy conversion and performance of switched-voltage control based on negative capacitance with arbitrary switching frequency , 2012 .

[48]  Stephen A. Rizzi,et al.  Piezoelectric shunt vibration damping of an F-15 panel under high-acoustic excitation , 2000, Smart Structures.

[49]  Massimo Ruzzene,et al.  Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches , 2001, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[50]  W. Clark.  Vibration Control with State-Switched Piezoelectric Materials , 2000 .

[51]  William W. Clark,et al.  A Novel Semi-Active Multi-Modal Vibration Control Law for a Piezoceramic Actuator , 2003 .

[52]  William W. Clark,et al.  Comparison of low-frequency piezoelectric switching shunt techniques for structural damping , 2002 .

[53]  Michael J. Brennan,et al.  Design of a Control System using Linear Matrix Inequalities for the Active Vibration Control of a Plate , 2006 .

[54]  Adrien Badel,et al.  Nonlinear semi-passive multimodal vibration damping: An efficient probabilistic approach , 2006 .

[55]  Nader Jalili,et al.  A switched stiffness approach for structural vibration control: theory and real-time implementation , 2006 .

[56]  Jinhao Qiu,et al.  Analysis of energy conversion in two-mode vibration control using synchronized switch damping approach , 2011 .

[57]  Jörg Wallaschek,et al.  Improved piezoelectric switch shunt damping technique using negative capacitance , 2013 .

[58]  Robert L. Forward,et al.  Electronic damping of vibrations in optical structures. , 1979, Applied optics.

[59]  S. O. Reza Moheimani,et al.  A survey of recent innovations in vibration damping and control using shunted piezoelectric transducers , 2003, IEEE Trans. Control. Syst. Technol..

[60]  Ayech Benjeddou,et al.  Advances in Hybrid Active-Passive Vibration and Noise Control Via Piezoelectric and Viscoelastic Constrained Layer Treatments , 2001 .

[61]  Daniel J. Inman,et al.  Analysis of energy conversion in switched-voltage control with arbitrary switching frequency , 2012 .

[62]  Stephen C. Galea,et al.  Self-powered discrete time piezoelectric vibration damper , 1997, Smart Materials, Nano-, and Micro- Smart Systems.

[63]  Jinhao Qiu,et al.  Two-mode vibration control of a beam using nonlinear synchronized switching damping based on the maximization of converted energy , 2010 .

[64]  S. Mohammadi,et al.  Damping Behavior of Semi-passive Vibration Control using Shunted Piezoelectric Materials , 2008 .

[65]  Yuansheng Chen,et al.  Multi-modal vibration control using a synchronized switch based on a displacement switching threshold , 2009 .

[66]  D. Guyomar,et al.  Stiffness Tuning Using a Low-Cost Semiactive Nonlinear Technique , 2008, IEEE/ASME Transactions on Mechatronics.

[67]  Jianda Han,et al.  Active vibration control of a flexible beam using a non-collocated acceleration sensor and piezoelectric patch actuator , 2009 .

[68]  Kenneth A. Cunefare,et al.  Damping Effects on the State-Switched Absorber Used for Vibration Suppression , 2003 .

[69]  Nicholas Fisco,et al.  Smart structures: Part I—Active and semi-active control , 2011 .

[70]  Ji,et al.  Vibration Control of a Composite Beam Using Self-sensing Semi-active Approach , 2010 .

[71]  Nicholas Fisco,et al.  Smart structures: Part II — Hybrid control systems and control strategies , 2011 .

[72]  George P. Simon,et al.  Characterization of mechanical vibration damping by piezoelectric materials , 1996 .

[73]  C. D. Johnson,et al.  Design of Passive Damping Systems , 1995 .

[74]  Andrew J. Fleming,et al.  Multiple mode current flowing passive piezoelectric shunt controller , 2003 .

[75]  D. Inman,et al.  A Review of Power Harvesting from Vibration using Piezoelectric Materials , 2004 .

[76]  Daniel J. Inman,et al.  Application of a Negative Capacitance Circuit in Synchronized Switch Damping Techniques for Vibration Suppression , 2011 .

[77]  Rabah Haoui.  Design of the propelling nozzles for the launchers and satellites , 2013 .

[78]  Jinhao Qiu,et al.  Semi-active vibration control using piezoelectric actuators in smart structures , 2009 .

[79]  Adrien Badel,et al.  Nonlinear Semi-active Damping using Constant or Adaptive Voltage Sources: A Stability Analysis , 2008 .

[80]  Jean-François Deü,et al.  Structural Vibration Reduction by Switch Shunting of Piezoelectric Elements: Modeling and Optimization , 2010 .

[81]  J. Hollkamp.  Multimodal Passive Vibration Suppression with Piezoelectric Materials and Resonant Shunts , 1994 .

[82]  J. Qiu,et al.  Piezoelectric vibration control by synchronized switching on adaptive voltage sources: Towards wideband semi-active damping , 2006 .

[83]  Adrien Badel,et al.  Finite Element and Simple Lumped Modeling for Flexural Nonlinear Semi-passive Damping , 2007 .

[84]  Singiresu S Rao,et al.  Recent Advances in Sensing and Control of Flexible Structures Via Piezoelectric Materials Technology , 1999 .