Nonlinear free vibration of piezoelectric laminated composite plate

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.