用变率配点法分析矩形薄板几何非线性问题

Analysis of the Geometrically Nonlinear Problem of Rectangular Thin Plates with Weighted Residual rate Collocation Method

从薄板几何非线性问题的ＶｏｎＫａｒｍａｎ方程出发，采用变率配点法，分析了矩形薄板在均布荷载作用下的大挠度弯曲问题，并利用连续延拓法对所得的非线性方程组进行求解．计算结果表明。

Based on Von Karman's equations for geometrially nonlinear problem of thin plates,this paper analyses the large deflection problem of rectangular thin plates under even load with weighted residual rate collocation method,and then solves the nonlinear equations by continuously close method.The computations show that our solution is better than that of the general collocation method.