Nonlinear free vibration of piezoelectric laminated composite plate

Authors:
Padmanav Dash;B. N. Singh
Affiliations:
Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721 302, India;Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721 302, India
Venue:
Finite Elements in Analysis and Design
Year:
2009

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Abstract

This paper addresses the nonlinear free vibration characteristic of laminated composite plate with embedded and/or surface bonded piezoelectric layer. Nonlinear governing equations are derived in Green-Lagrange sense in the framework of a higher order shear deformation theory. All higher order terms arising from nonlinear strain-displacement relations are included in mathematical formulation. The present plate theory satisfies zero transverse shear strains conditions at the top and bottom surfaces of the plate in von-Karman sense. A C^0 isoparametric finite element is proposed for the present nonlinear model. Comparisons of the present results with those obtained by exact approach show the accuracy and necessity of the model especially for the structures undergoing large deformations. Some new examples covering various features are presented to bring out the different aspects of the model. The results would be useful for the designers.