| 随机结构孤立特征值的统计特性 |
| |
| 引用本文： | 黄斌,瞿伟廉.随机结构孤立特征值的统计特性[J].航空学报,2005,26(1):40-43. |
| |
| 作者姓名： | 黄斌 瞿伟廉 |
| |
| 作者单位： | 武汉理工大学 土木工程与建筑学院, 湖北 武汉 430070 |
| |
| 基金项目： | 国家自然科学基金(50208016)资助项目 |
| |
| 摘 要： | 研究了随机结构的孤立特征值问题。将材料物理量的随机场扩展为K-L(Karhunen-Loeve)正交展式,采用非正交多项式混沌展式表达孤立特征值,建立了和摄动法类似的一系列确定的递推方程,并通过确定性有限元方法求解了这些递推方程,得到了特征值的均值和方差。在算例中用蒙特卡洛方法验证了本方法的正确性。
|
| 关 键 词： | 随机结构 孤立特征值 K-L正交展式 非正交多项式混沌 摄动法 |
| 文章编号： | 1000-6893(2005)01-0040-04 |
| 收稿时间： | 2003-12-09 |
| 修稿时间： | 2003年12月9日 |
Statistics of Isolated Eigenvalues of Random Structures |
| |
| HUANG Bin,QU Wei-lian.Statistics of Isolated Eigenvalues of Random Structures[J].Acta Aeronautica et Astronautica Sinica,2005,26(1):40-43. |
| |
| Authors: | HUANG Bin QU Wei-lian |
| |
| Institution: | School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China |
| |
| Abstract: | A new random finite element method for solving eigenvalue problems involving material variability is given. The random material properties, such as the modulus of elasticity, are represented by Karhunun-Loeve expansion. Random structural eigenvalues are expressed as nonorthogonal polynomials chaos. With the aid of the finite element method, a set of deterministic recursive equations is set up to deal with eigenvalue problems through nonorthogonal polynomials of the same order. The statistics of eigenvalues is derived. A beam problem and a plate problem are investigated by the new method. The derived second-order statistics of eigenvalues is found in good agreement with those obtained by Monte-Carlo simulation. |
| |
| Keywords: | random structure isolated eigenvalue Karhunen-Loeve expansion nonorthogonal polynomials chaos perturbation method |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《航空学报》浏览原始摘要信息 |
| 点击此处可从《航空学报》下载免费的PDF全文 |
