A note on imposing displacement boundary conditions in finite element analysis
A note on imposing displacement boundary conditions in finite element analysis
复制标题
有限元分析中施加位移边界条件的注意事项
DOI：
--
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Zhengguang Li
中科院分区：
文献类型：
--
作者：
Baisheng Wu;Zhonghai Xu;Zhengguang Li
本文提出了有限元分析直接刚度法中施加位移边界条件的一种改进方法。该方法既不改变主刚度阵的原始顺序，也不需要重新排列系数矩阵。因此，它很容易实现。特别是，改进方法的系数矩阵条件数显著减少，从而大大降低了解对摄动的敏感性。数值算例验证了该方法的有效性。版权所有©2007 John Wiley&Sons，Ltd.
In this paper, an improved procedure for imposing displacement boundary conditions in the direct stiffness method of the finite element analysis is presented. The proposed procedure neither changes the original order of the master stiffness matrix, nor does it require the rearrangement of the coefficient matrix. Consequently, it is easy to be implemented. Especially, the condition numbers of coefficient matrices of the improved procedure are remarkably reduced; hence the sensitivity of the solution to perturbations is considerably lowered. Numerical examples are used to demonstrate the validity of the proposed procedure. Copyright © 2007 John Wiley & Sons, Ltd.