加权残数和有限元耦合法解弹性力学问题

COUPLED WEIGHTED RESIDUALS WITH FINITE ELEMENT METHOD FOR SOLVING PROBLEMS OF ELASTICITY AND PLATE BENDING

提出了加权残数和有限元耦合法的思想，推导了求解弹性力学和薄板变曲问题的加权残数和有限元耦合法的公式，给出了算例，与理论解进行了比较，并阐述了本文方法的优点。

The method of weighted residuals is reviewed first, then the coupled weighted residuals with finite element method is pre- sented. The formulation of the coupled method for solving problems of elasticity and plate bending is obtained. In the coupled method the boundary of a subregion is a regular shape for the method of weighted residuals, so the trial function can be chosen easily. Comparing with the method of weighted residuals the coupled method has a high precision. Comparing with the finite element method the coupled method has a short computing time. The coupled method in illustrated by an example of a square plate subjected to unidirectional tension with a circular hole in the center.