| 构造满足特征值要求的杂交元应力子空间 |
| |
| 引用本文： | 张灿辉,冯伟,黄黔.构造满足特征值要求的杂交元应力子空间[J].力学与实践,2001,23(6):39-41. |
| |
| 作者姓名： | 张灿辉 冯伟 黄黔 |
| |
| 作者单位： | 上海大学,上海市应用数学和力学研究所, |
| |
| 基金项目： | 教育部留学回国人员基金项目，教育部高等学校骨干教师计划基金项目，上海市教育基金会“曙光计划”项目资助． |
| |
| 摘 要： | 通过引进适当参数给出了杂交元应力空间特征值与参数之间的关系，从而可以通过调节参数来构造满足特征值即模态刚度要求的杂交元应力子空间。本在位移元本征应力模式基础上引进调节参数，同时，利用矩阵H对角化方法计算杂交元应力子空间的本征应力模式，然后由此方便有效地计算特征值，从而大大提高了计算效率。本通过建立Q4杂交应力元特征值与参数之间关系说明了这一方法是确定可行的。
|
| 关 键 词： | 杂交元应力子空间 特征值 本征应力模式 Q4杂交应力元 矩阵H对角化 模态刚度 位移元 有限元 |
| 修稿时间： | 2000年12月25 |
ESTABLISHMENT OF THE STRESS SUBSPACE OF HYBRID FINITE ELEMENT IN ACCORDANCE WITH GIVEN EIGENVALUES |
| |
| ZHANG Canhui FENG Wei HUANG Qian.ESTABLISHMENT OF THE STRESS SUBSPACE OF HYBRID FINITE ELEMENT IN ACCORDANCE WITH GIVEN EIGENVALUES[J].Mechanics and Engineering,2001,23(6):39-41. |
| |
| Authors: | ZHANG Canhui FENG Wei HUANG Qian |
| |
| Abstract: | The relations between the eigenvalues of a hybrid finite element and some parameters were presented in the paper. Then, with the adjustment of the parameters, the stress subspace of the hybrid finite element was established in accordance with the given eigenvalues, namely, the modal stiffness of the deformation. The parameters are introduced based on the natural stress modes of the displace- ment element, and the method of matrix H diag- onalization was introduced to improve the calcula- tion of the natural stress modes of the hybrid finite element by which the eigenvalues are calculated ef- ficiently. The relations between the eigenvalues and the parameters in the 2-D, 4-node quarter hybrid finite element were given to show the usefulness of the method. |
| |
| Keywords: | hybrid finite element stress subspace eigenvalues natural stress modes |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
