| 随机参数结构的统计特征对 |
| |
| 引用本文： | 黄斌.随机参数结构的统计特征对[J].固体力学学报,2005,26(1):121-124. |
| |
| 作者姓名： | 黄斌 |
| |
| 作者单位： | 武汉理工大学土木工程与建筑学院,武汉,430070 |
| |
| 基金项目： | 国家自然科学基金 (5 0 2 0 80 16)资助 . |
| |
| 摘 要： | 结合非正交多项式展式和传统的摄动技巧研究了随机参数结构的统计特征对问题，建立了和摄动法类似的一系列确定的递推方程，并用有限元方法进行了求解，得到了包括特征值和特征向量的特征对的统计值．最后，用算例验证了此方法的正确性．
|
| 关 键 词： | 随机参数结构 非正交多项式展式 特征对 |
| 修稿时间： | 2003年12月9日 |
EIGENVALUES AND EIGENVECTORS OF STRUCTURES WITH RANDOM PARAMETERS |
| |
| Huang Bin.EIGENVALUES AND EIGENVECTORS OF STRUCTURES WITH RANDOM PARAMETERS[J].Acta Mechnica Solida Sinica,2005,26(1):121-124. |
| |
| Authors: | Huang Bin |
| |
| Abstract: | A new stochastic finite element method is presented in this paper to solve random eigenvalue problems. First, eigenvalues and eigenvectors of structures with random parameters are expressed as nonorthogonal polynomials expansion. By utilizing the perturbation technique random eigenvalue equations are changed to a set of deterministic recursive equations. Based on the coefficients of polynomials expansion, the second order statistics of the response can be derived. The usefulness of the proposed method is demonstrated by considering a cantilever beam with random rigidity. |
| |
| Keywords: | structures with random parameters nonorthogonal polynomials expansion eigenvalues and eigenvectors |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
