Non-Linear Free Vibration Analysis of Piezoelastic Laminated Plates With Interfacial Damage

FU Yi-ming; LI Sheng; JIANG Ye-jie

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(2): 127-141

FU Yi-ming, LI Sheng, JIANG Ye-jie. Non-Linear Free Vibration Analysis of Piezoelastic Laminated Plates With Interfacial Damage[J]. Applied Mathematics and Mechanics, 2009, 30(2): 127-141.

Citation:

FU Yi-ming, LI Sheng, JIANG Ye-jie. Non-Linear Free Vibration Analysis of Piezoelastic Laminated Plates With Interfacial Damage[J]. Applied Mathematics and Mechanics, 2009, 30(2): 127-141.

Citation:

FU Yi-ming, LI Sheng, JIANG Ye-jie. Non-Linear Free Vibration Analysis of Piezoelastic Laminated Plates With Interfacial Damage[J]. Applied Mathematics and Mechanics, 2009, 30(2): 127-141.

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Non-Linear Free Vibration Analysis of Piezoelastic Laminated Plates With Interfacial Damage

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

Received Date: 2008-09-17
Rev Recd Date: 2008-12-25
Publish Date: 2009-02-15

Abstract

Abstract

A nonlinear model for piezoelastic laminated plates containing the damage effect of the intra-layers and inter-laminar interface is presented, and the discontinuity of displacement and electric potential on the interfaces were depicted by three shape functions. By using the Hamilton variation principle, the three-dimensional nonlinear dynamic equations of piezoelastic laminated plates with damage effect were derived. Then, using the Galerlan method, a mathematical solution was presented. In numerical results, the effects of different damage models, the thickness of piezoelectric layer, the side-to-thiclmess ratio and the length-to-width ratio and the natural frequencies and non-linear amplitude-frequency response characteristics of the simply-suppotted piezoelastic laminated plates with interfacial imperfections were discussed.
- piezoelastic laminated places,
- non-linear free vibration analysis,
- interfacial damage,
- damage evolution,
- Galerldn method

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References(24)

References

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