Optimized electric networks for vibration damping of piezoactuated beams

This paper studies the multimodal vibration damping of an elastic beam equipped with multiple piezoelectric actuators connected to an electric network. Two analytical models of the electromechanical coupled structure are considered: a homogenized one, accurate when a large number of actuators is employed, is used to derive simple design criteria for the electric network; and a discrete one, able to face real situations when few actuators are employed, is adopted to test the network performance, defined as the exponential time-decay rate of the free vibrations of the controlled structure. Some electric networks are presented and compared in simulation to networks previously proposed in the literature, in order to evaluate their performances in broadband vibration control.

[1]  J. Lions,et al.  Non-homogeneous boundary value problems and applications , 1972 .

[2]  N. D. Botkin Homogenization of an equation describing linear thin plates excited by piezopatches , 1999 .

[3]  T. Ikeda Fundamentals of piezoelectricity , 1990 .

[4]  Shu-yau Wu,et al.  Method for multiple-mode shunt damping of structural vibration using a single PZT transducer , 1998, Smart Structures.

[5]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[6]  Laura Menini,et al.  Semi-active control of a thin piezoactuated structure , 2000, Smart Structures.

[7]  Jiong Tang,et al.  Vibration control of rotationally periodic structures using passive piezoelectric shunt networks and active compensation , 1999 .

[8]  Andrew J. Fleming,et al.  Institute of Physics Publishing Smart Materials and Structures Reducing the Inductance Requirements of Piezoelectric Shunt Damping Systems , 2003 .

[9]  Paolo Bisegna,et al.  Evaluation of higher-order theories of piezoelectric plates in bending and in stretching , 2001 .

[10]  Paolo Bisegna,et al.  Mindlin-Type Finite Elements for Piezoelectric Sandwich Plates , 2000 .

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

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

[13]  Andrew J. Fleming,et al.  A broadband controller for shunt piezoelectric damping of structural vibration , 2003 .

[14]  Massimo Ruzzene,et al.  Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches , 2001 .

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

[16]  Jiong Tang,et al.  Vibration Delocalization of Nearly Periodic Structures Using Coupled Piezoelectric Networks , 2001, Adaptive Structures and Material Systems.

[17]  Francesco dell’Isola,et al.  A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT actuators , 2002 .

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

[19]  S. Vidoli,et al.  Modal coupling in one-dimensional electromechanical structured continua , 2000 .

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