Linear Transient Analysis of Laminated Composite Plates using GLPT

Abstract

The objective of this work is to study the transient response of laminated composite plates under different types of dynamic loading. For this purpose, laminated composite plate is modeled using Reddy’s generalized laminated plate theory (GLPT). This theory assumes layerwise linear variation of displacements components. Transverse displacement is constant through the thickness of the plate. Linear kinematic relations, as well as Hook’s law, are considered. The generalized displacements are expanded in double trigonometric series using Navier-type method. Governing partial differential equations are reduced to a set of ordinary differential equations in time. The equations of motion are solved using constant-average acceleration method. Effect of time step on accuracy of transient response is investigated using a family of simply supported cross-ply (0/90) laminates. Different number of layers, as well as their influence on transient response is considered. Different schemes of transient dynamic loading are investigated. Good agreement is obtained with some results existing from the literature.