| 有限元病态刚度方程的解法研究 |
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| 引用本文： | 贾金生,李国润. 有限元病态刚度方程的解法研究[J]. 大连理工大学学报, 1993, 0(Z1) |
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| 作者姓名： | 贾金生 李国润 |
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| 作者单位： | 水利水电科学研究院，成都科技大学 北京100038，成都610065 |
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| 摘 要： | 对有限元局部节点位移构成准刚体运动情况进行了研究，提出了一种新 的改性转换矩阵［Ｑ］，给出了两种简单易行的计算［Ｑ］Ｔ［Ａ］［Ｑ］的方法．所提 方法对直接法和迭代法求解有限元病态方程都是适用的．算例表明，得到了 较好的计算结果．
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| 关 键 词： | 有限元法 刚度矩阵 病态矩阵 |
Study of finite element ill-conditioned stiffness equation |
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| Jia Jinsheng. Study of finite element ill-conditioned stiffness equation[J]. Journal of Dalian University of Technology, 1993, 0(Z1) |
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| Authors: | Jia Jinsheng |
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| Abstract: | This paper is concerned with the case that the finite element local node displacements constitute a pseudo-rigid body movement. A new transformative matrix [Q] and two new simple methods for calculation of [Q]T [A] [Q] are presented. According to the methods, it is easy to solve the finite element ill-conditioned stiffness equation with the precision improved. Numerical examples are given with meaningful results. |
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| Keywords: | finite element methods stiffness matrix ill-conditioned matrices |
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