Three-dimensional elasticity analysis of a laminated cylindrical shell with piezoelectric layer under dynamic loads

Abstract

The elasticity solution for simply-supported, laminated cylindrical shell with piezoelectric layer is presented. The shell is subjected to various dynamic loads. The direct piezoelectric effect is considered. The governing differential equations are reduced to ordinary differential equations by means of trigonometric function expansion for displacement and electric potential. The loading function is expanded as a double Fourier series in axial and circumferential coordinates. The resulting equations are solved by Galerkin's finite element in radial direction. The static results and natural frequencies are compared with similar ones in the literature. The effect of radius to thickness ratio and band load width on dynamic behaviour is studied. Time responses are presented for [0/90/Piezo] lamination.

Keywords

piezoelectric sensor elasticity solution cylindrical shell local dynamic load

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