Analysis of a laminated anisotropic plate by Chebyshev collocation method

摘要

This work is aimed to solve the governing differential equations of a laminated anisotropic plate by using the Chebyshev collocation method. The solution of the problem is assumed to be a set of Chebyshev polynomials with some unknown constants. Some collocation points, also named Gauss-Lobatto points, are selected to be substituted into those polynomials to get the result of previously unknown constants. This method yields the results that cannot be accomplished easily by both Navier's and Levy's methods in the case of any kind of stacking sequence in composite laminates with the variety of boundary conditions subjected to any type of loading. Several examples are given to highlight the effectiveness of this method. The preciseness is also found in contrast to the numerical result by using finite element method incorporated with the software of NASTRAN and the valuable work achieved by Whitney.