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Smart Structures and Systems Volume 16, Number 1, July 2015 , pages 195-211 DOI: https://doi.org/10.12989/sss.2015.16.1.195 |
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Nonlinear electromechanical analysis of a functionally graded square plate integrated with smart layers resting on Winkler-Pasternak foundation |
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Mohammad Arefi
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| Abstract | ||
| This paper presents nonlinear analysis of a functionally graded square plate integrated with two functionally graded piezoelectric layers resting on the Winkler-Pasternak foundation. Geometric nonlinearity was considered in the strain-displacement relation based on the Von-Karman assumption. All the mechanical and electrical properties except Poisson\'s ratio can vary continuously along the thickness of the plate based on a power function. Electric potential was assumed as a quadratic function along the thickness direction and trigonometric function along the planar coordinate. The effect of non homogeneous index was investigated on the responses of the system. Furthermore, a comprehensive investigation has been performed for studying the effect of two parameters of assumed foundation on the mechanical and electrical components. A comparison between linear and nonlinear responses of the system presents necessity of this study. | ||
| Key Words | ||
| plate; Winkler-Pasternak foundation; nonlinear responses; functionally graded material; piezoelectric | ||
| Address | ||
| Mohammad Arefi: Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan,Kashan 87317-51167, Iran | ||