Nonlinear Dynamic Stability of Laminated Composite Plates Based on Refined Theory

Abstract

Refined theory is developed for nonlinear dynamic stability of laminated composite plates based on higher order shear deformation theory. The developed refined plate theory is used to analyze the geometric nonlinearity or large amplitude effects on the dynamic stability of the composite laminated plates. Based on the shear deformation theory involving four dependent unknowns and satisfying the vanishing of transverse shear stresses at the top and bottom surfaces of the plate without using shear correction factors. The displacement functions are used to derive the non-linear strain-displacement relations based on the Von-Karman hypothesis. The Finite element analysis are obtained through eigenvalue formulation by using Navier’s solution technique. The analytical solutions developed from the present refined model are compared with 3D elasticity theories. The comparison shown that refined model achieves accuracy and efficient.