Nonlinear free vibration analysis of piezoelastic laminated plates with interface damage |
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Authors: | Yi-ming Fu Sheng Li Ye-jie Jiang |
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Institution: | College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China |
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Abstract: | This paper presents a nonlinear model for piezoelastic laminated plates with damage effect of the intra-layers and inter-laminar interfaces. Discontinuity of displace-ment and electric potential on the interfaces are depicted by three shape functions. By using the Hamilton variation principle, the three-dimensional nonlinear dynamic equa-tions 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. |
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Keywords: | piezoelastic laminated plates nonlinear free vibration analysis interfacial damage damage evolution the Galerkin method |
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