线加权余量法及其在正交异性板弯曲分析中的应用

利用有限差分法对控制方程和边界条件进行半离散化,使其定义在一些离散线上,然后采用加权余量法求解。这就是本文提出的线加权余量法,也可称之为有限差分-加权余量分维耦合法。文中以正交各向异性薄板弯曲平衡问题为例推导了有关具体算式,给出了数值算例,说明了本文方法的有效性。

WEIGHTED RESIDUAL METHOD OF LINES IN ANALYSIS OF ORTHOTROPIC PLATES

By using finite differences in semi-discretization of the governing equations and boundary conditions, the equations are restricted on discrete mesh lines and then solved by the weighted residual method. This is the weighted residual method of lines proposed in this paper, which mayas well be called finite difference-weighted residual dimension-wise coupled method. Taking orthotropic thin plates as the working example, present paper gives the detailed formulation and the associated numerical examples to show the effectiveness of the proposed method.