Large Deformation Dynamic Analysis of Plates

Abstract

The combined use of the finite element and transfer matrix is applied to the large displacement dynamic analysis of the plate structures subjected to random out‐of‐plane and in‐plane excitations. The transfer matrix relating the incremental state variables on the left and right boundaries of a strip is derived from the system of equations of motion for a strip. In this paper, an approximation is introduced in the equations of motion in order to reduce computational efforts. The Newmark β method is employed for time integrations, but other integration methods, such as the Hawbolt, Wilson θ, and central difference methods may be used. Equilibrium iterations based on the modified Newton‐Raphson method are employed and geometric nonlinearity is considered by using a set of moving coordinate systems. Various numerical examples are proposed and their results are compared with those obtained by other methods.