Method of Spling Weight and Residual Value for Analyzing Bending of Laminated Skew Plates under Complex Stress State

Abstract

In order to meet the needs of boundary conditions and eliminate the residual of governing equations, the weighted residuals method is combined with least squares method solve the nonlinear bending problem of symmetrically angle-lay orthotropic laminated composite plate, and the double fifth B-spline is taken as trial function to seek an efficient method for large deflection of plate. The analytical solution of bending problems of symmetrically angle-lay orthotropic laminated composite plate with clamped boundary conditions is obtained by using the weighted residual method. The results from the present method are in good agreement with those derived from other methods, and the present method has the advantages of simple principle, high calculation efficiency and easy to satisfy boundary conditions as well, superiority to finite element method. In addition, the design of computer program is simple and it is easy to be programmed.