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Nonlinear free vibration analysis of piezoelastic laminated plates with interface damage

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  • College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China

Received date: 2008-10-20

  Revised date: 2008-12-22

  Online published: 2009-02-11

Abstract

This paper presents a nonlinear model for piezoelastic laminated plates with damage effect of the intra-layers and inter-laminar interfaces. Discontinuity of displacement and electric potential on the interfaces are depicted by three shape functions. By using the Hamilton variation principle, the three-dimensional nonlinear dynamic equations of piezoelastic laminated plates with damage effect are derived. Then, by using the Galerkin method, a mathematical solution is presented. In the numerical studies, effects of various factors on the natural frequencies and nonlinear amplitude-frequency response of the simply-supported peizoelastic laminated plates with interfacial imperfections are discussed. These factors include different damage models, thickness of the piezoelectric layer, side-to-thickness
ratio, and length-to-width ratio.

Cite this article

Yi-ming FU;Sheng LI;Ye-jie JIANG . Nonlinear free vibration analysis of piezoelastic laminated plates with interface damage[J]. Applied Mathematics and Mechanics, 2009 , 30(2) : 129 -144 . DOI: 10.1007/s10483-009-0201-y

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