摘要
本文将加权余量法应用于薄板及扁壳的大挠度分析。在本法中将非线性微分方程组化为增量型的微分方程组,其中的非线性部分化作为折算荷载的形式用迭代法处理。在全部计算中,所求的解是线性方程组,系数矩阵只需组成一次。方程组的建立利用加权余量法中的最小二乘混合配点法。本法是一个求解非线性微分方程的通法,可称为最小二乘配点增量迭代法。文中附有算例,全部计算在微机上完成。
In this paper,the method of weighted residuals is suggested to be adopted to analyse the large deflection problems of plates and shallow shells. In this method, the nonlinear partial differential equations are put into incremental type. These equations are then solved by using the least squares collocation method. The nonlinear terms in these equations are treated by iterative method. The method mentioned deals directly with the differential equations, and only a group of linear algebraic equations have to be solved in the proccess of analysis. This method is particularly suitable for microcomputers. Several numerical examples are given.
