Nonlinear free vibration analysis of piezoelastic laminated plates with interface damage

作者：Fu, Yi ming; Li, Sheng^*; Jiang, Ye jie

来源：Applied Mathematics and Mechanics (English Edition ), 2009, 30(2): 129-144.

DOI：10.1007/s10483-009-0201-y

• piezoelastic laminated plates
• nonlinear free vibration analysis
• interfacial damage
• damage evolution
• the Galerkin method

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.

• 出版日期2009-2
• 单位湖南大学