Non-linear free and forced vibrations of piezoelectric laminated shells in thermal environments

Abstract

This article is concerned with the non-linear free vibration and transient response of laminated composite cylindrical and spherical shells with piezoelectric layers in thermal environments. The theoretical formulations are based on the first-order shear deformation theory and the von Karman-type non-linear kinematics. The analysis is carried out using the quadratic C 0 eight-noded isoparametric element. The governing non-linear equations are solved by using the direct iteration method for the eigenvalue problem for free vibration and the Newmark average acceleration method in time integration in conjunction with the modified Newton-Raphson iteration scheme for the transient analysis. The validity of the numerical model is demonstrated by comparing the present results with those available in the literature. The effects of temperature, voltage, curvature, thickness, number of layers and boundary conditions on the non-linear free vibration and transient response of piezoelectric laminated cylindrical and sp...