A new technique for analyzing the 3-D wave fields in anisotropic laminates excited by point harmonic loads

Abstract

A new technique is presented for analyzing the 3-D wave fields in anisotropic laminated plates excited by time-harmonic point loads. The finite element technique is used to produce a set of approximate partial differential equations. This set of differential equations is then changed into a set of algebraic equations using a 2-D Fourier transform. The resulting set of algebraic equations is solved by a modal expansion method. The 2-D inverse Fourier integration is first carried out analytically in one direction using Cauchy's theorem. An adaptive quadrature scheme is then used to evaluate the integration in the other direction. The present technique is very efficient in computing the 3-D response of anisotropic laminates in the frequency domain, since only 1-D integration needs to be carried out numerically. Numerical examples are presented to demonstrate the efficiency of this technique.