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Sound insulation performance of plates with interconnected distributed piezoelectric patches

Chinese Journal of Aeronautics 2017年第1期30卷 99-108页

作者： Yi Kaijun Li Lin Mohamed Ichchou manuel collet Laboratory of Tribology and Systems Dynamics Ecole Centrale de Lyon School of Energy and Power Engineering Beihang University

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 *** 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.

关键词： Coincidence frequency Homogenization Piezoelectric material Sound transmission loss Wave propagation

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Enhanced wave and finite element method for wave propagation and forced response prediction in periodic piezoelectric structures

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Chinese Journal of Aeronautics 2017年第1期30卷 75-87页

作者： Fan Yu manuel collet Mohamed Ichchou Li Lin Olivier Bareille Zoran Dimitrijevic Laboratory of Tribology and Systems Dynamic Ecole Centrale de Lyon Ecully 691304 France School of Energy and Power Engineering Beihang University Beijing 100083 China PSA Peugeot Citroen Paris F-78943 France

As a promising numerical tool of structural dynamics in mid- and high frequencies, the wave and finite element method（WFEM） is receiving increasingly attention and applications. In this paper, an enhanced WFEM has been developed with a reduced model and a new eigenvalue scheme. The reduced model is applicable for structures with piezoelectric shunts or local dampers;the new eigenvalue scheme can mitigate the ill-conditioning when the wave basis is calculated. The enhanced WFEM is applied to a thin-wall structure with periodically distributed piezoelectric materials（PZT）. Both free wave characteristics and forced response are analyzed and the influences of the suggested enhancements are presented. It is shown that if the control factors are properly chosen, these enhancements can improve the accuracy while accelerating the calculation. Resulting from the complexity of the application, these enhancements are not optional but imperative.

关键词： Eigenvalue scheme Periodic structure Piezoelectric shunt Reduced model Thin-wall structure Wave and finite element method

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