Sound insulation performance of plates with interconnected distributed piezoelectric patches

Abstract This paper deals with the sound insulation performance of a thin plate with interconnected distributed piezoelectric patches. Piezoelectric patches are periodically bonded on the surfaces of the plate in a collocated fashion, and are interconnected via an inductive circuit network. This piezoelectric system is termed as piezo-electromechanical (PEM) plate in the paper. Homogenization methods are involved under a sub-wavelength assumption to analytically develop the dynamical equations for the PEM plate. The dispersion relationships and energy densities of the wave modes propagating in the PEM plate are studied; the sub-wavelength assumption is verified for the simulations in this paper. The coincidence frequency of the PEM plate is researched, and results show that the coincidence frequency of the PEM plate will disappear at certain circumstances; mathematical and physical explanations are made for this phenomenon. The disappearance of the coincidence frequency is used to optimize the value of inductance, for the purpose of improving the sound transmission loss of the PEM plate.

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

[2]  M Ouisse,et al.  Experimental characterization of a bi-dimensional array of negative capacitance piezo-patches for vibroacoustic control , 2013 .

[3]  Maurizio Porfiri,et al.  A passive electric controller for multimodal vibrations of thin plates , 2005 .

[4]  André Preumont,et al.  Mechatronics: Dynamics of Electromechanical and Piezoelectric Systems , 2006 .

[5]  Daniel J. Inman,et al.  Enhanced Piezoelectric Shunt Design , 1998, Adaptive Structures and Material Systems.

[6]  F. dell'Isola,et al.  Optimal piezo-electro-mechanical coupling to control plate vibrations , 2002 .

[7]  Francesco dell’Isola,et al.  Multimode vibration suppression with passive two-terminal distributed network incorporating piezoceramic transducers , 2005 .

[8]  Frank Fahy,et al.  Sound and Structural VibrationRadiation, Transmission and Response , 2007 .

[9]  Mohamed Ichchou,et al.  Flexural waves focusing through shunted piezoelectric patches , 2016 .

[10]  Stefano Vidoli,et al.  Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks , 2001 .

[11]  Massimo Ruzzene,et al.  Design of tunable acoustic metamaterials through periodic arrays of resonant shunted piezos , 2011 .

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

[13]  Mohamed Ichchou,et al.  Experimental characterization of a bi-dimensional array of negative capacitance piezo-patches for vibroacoustic control , 2013, Smart Structures.

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

[15]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[16]  Dionisio Del Vescovo,et al.  Comparison of piezoelectronic networks acting as distributed vibration absorbers , 2004 .

[17]  M. Ruzzene,et al.  Broadband vibration control through periodic arrays of resonant shunts: experimental investigation on plates , 2009 .

[18]  F. dell'Isola,et al.  Damping of bending waves in truss beams by electrical transmission lines with PZT actuators , 1998 .

[19]  Massimo Ruzzene,et al.  Periodic shunted arrays for the control of noise radiation in an enclosure , 2010 .

[20]  F. dell'Isola,et al.  Continuum modelling of piezoelectromechanical truss beams: an application to vibration damping , 1998 .

[21]  Mohamed Ichchou,et al.  Traveling wave control in thin-walled structures through shunted piezoelectric patches , 2013 .

[22]  M. Collet,et al.  Adaptive metacomposites for vibroacoustic control applications , 2014, 2012 IEEE Sensors.

[23]  A. Preumont,et al.  Vibration damping with negative capacitance shunts: theory and experiment , 2008 .

[24]  Francesco dell’Isola,et al.  Piezo-ElectroMechanical (PEM) Kirchhoff–Love plates , 2004 .

[25]  R. Barboni,et al.  Optimal placement of PZT actuators for the control of beam dynamics , 2000 .

[26]  Mohamed Ichchou,et al.  A wave-based design of semi-active piezoelectric composites for broadband vibration control , 2016 .

[27]  Karl Popp,et al.  Optimization of damping and absorbing performance of shunted piezo elements utilizing negative capacitance , 2006 .

[28]  Maurizio Porfiri,et al.  Passive damping of beam vibrations through distributed electric networks and piezoelectric transducers: prototype design and experimental validation , 2004 .

[29]  Mohamed Ichchou,et al.  Semi-active optimization of 2D wave dispersion into shunted piezo-composite systems for controlling acoustic interaction , 2012 .

[30]  G. Wang,et al.  Wave propagation and attenuation in plates with periodic arrays of shunted piezo-patches , 2013 .

[31]  Mohamed Ichchou,et al.  Wave Motion Optimization in Periodically Distributed Shunted Piezocomposite Beam Structures , 2009 .

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

[33]  Mohamed Ichchou,et al.  Structural energy flow optimization through adaptive shunted piezoelectric metacomposites , 2012 .

[34]  Song Zhiqiang,et al.  Experimental research on vibration control of composite plate with piezoelectric networks , 2016 .

[35]  Manuel Collet,et al.  Design variables for optimizing adaptive metacomposite made of shunted piezoelectric patches distribution , 2016 .

[36]  Manuel Collet,et al.  Structural multi-modal damping by optimizing shunted piezoelectric transducers , 2011 .

[37]  Gang Wang,et al.  Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted piezoelectric patches , 2015 .