Non-linear free vibration analysis of composite plates with initial imperfections and in-plane loading

Abstract

In this paper the non-linear response of layered composite plates with initial imperfections and subjected to in-plane preload is considered. The basic equations used in the analysis are those corresponding to an accurate shear deformation theory which employs parabolic shear strain variations across the thickness and requires no correction factors. The five governing non-linear equilibrium equations of the problem are reduced to a single non-linear ordinary differential equation (ODE) using a single mode approach in conjunction with the Galerkin method. Numerical results are obtained tor two problems: 1.(i) large amplitude vibration of imperfect plates and2.(ii) small oscillations in the vicinity of a static buckled position of an in-plane loaded two-layered (0 90) plate.