Nonlinear free vibration analysis of piezoelastic laminated plates with interface damage  

作　　者：傅衣铭 李升 姜叶洁 

机构地区：[1]College of Mechanics and Aerospace, Hunan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第2期129-144,共16页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 10572049)

摘　　要：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.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.

关 键 词：piezoelastic laminated plates nonlinear free vibration analysis interfacial damage damage evolution the Galerkin method 

分 类 号：O323[理学—一般力学与力学基础]