一种改进边界元法在弹性扭转问题中的应用

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Application of an Improved Boundary Element Method on the Problem of Elastic Torsion

摘要: 本文用一种改进边界元法分析与计算了椭圆截面等直杆的扭转问题.并与边界元法的解进行比较,其结果极为符合.然而,改进边界元法较边界元法所需要的数据量少得多,计算时间也将大大减少了.因此,本文方法对求解Poisson方程问题是一种经济而行之有效的数值计算方法.
- 弹性扭转 /
- 泊松方程 /
- 边界元法 /
- 改进边界元法
Abstract: An improved boundary clement method has been used in analyzing and calculating the problems of the torsion of a prismatic bar with elliptical cross-section. In this paper the calculated results correspond with the values of boundary element method. However, the quantity of data required by the improved boundary element method is much less than that required by boundary element method, and the calculating time will be greatly reduced. Therefore, the procedure of this paper is an economical and efficient numerical computational way for solving Poisson equation problem.
- elastic torsion /
- Poisson equation /
- boundary clement method /
- improved boundary element method

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