用摄动—加权残数法分析复合材料层合薄板的大挠度问题

本文将摄动法与加权残数法联合应用于解复合材料层合薄板的大挠度问题,对摄动后得到的各线线性微分方程组,全部采用统一试函数形式的最小二乘配点法求解,方法简捷,程序通用。

LARGE DEFLECTION ANALYSIS OF LAMINATES BY PERTURBATION-WEIGHTED RESIDUAL METHOD

As we know,Perturbation Method gives an effective way to analyze nonlinear probl ems but it is still very difficuit to solve step by step the linear problems obtained from the nonlinear problems after perturbation.On the other hand,Weighted Residual Method(WRM) has been succeeded insolving linear problems,but it is also difficult to hande directly non linear algebric equations by WRM alone. In this paper, we integrate the advantage of both the perturbation and WRM for applying to solve large deflection bending problems of composite laminated thin plates.This approach consists in linearizing a nonlinear problem with perturbational method at first,then solving resulted linear one in unified form with the use of the combination of quintic B-spline function as the basis of try-function by use of Least Square and Collocation Method.