[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sss.2015.16.1.081

Nonlinear responses of an arbitrary FGP circular plate resting on the Winkler-Pasternak foundation

Arefi, Mohammad (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
Allam, M.N.M. (Mathematics Department, Faculty of Science, Mansoura University)

Publication Information

Smart Structures and Systems / v.16, no.1, 2015 , pp. 81-100 More about this Journal

Abstract

This paper presents nonlinear analysis of an arbitrary functionally graded circular plate integrated with two functionally graded piezoelectric layers resting on the Winkler-Pasternak foundation. Geometric nonlinearity is 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 is assumed as a quadratic function along the thickness direction. After derivation of general nonlinear equations, as an instance, numerical results of a functionally graded material integrated with functionally graded piezoelectric material obeying two different functionalities is investigated. The effect of different parameters such as parameters of foundation, non homogenous index and boundary conditions can be investigated on the mechanical and electrical results of the system. A comprehensive comparison between linear and nonlinear responses of the system presents necessity of this study. Furthermore, the obtained results can be validated by using previous linear and nonlinear analyses after removing the effect of foundation.

Keywords

Winkler-Pasternak foundation; nonlinear responses; functionally graded material; piezoelectric; circular plate;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)

Reference
Cited By KSCI

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