| 基于随机场局部平均的随机有限元法在实特征值问题中的应用 |
| |
| 引用本文： | 朱位秋,吴伟强.基于随机场局部平均的随机有限元法在实特征值问题中的应用[J].航空学报,1989,10(2):20-26. |
| |
| 作者姓名： | 朱位秋 吴伟强 |
| |
| 作者单位： | 渐江大学
(朱位秋)，渐江大学(吴伟强) |
| |
| 摘 要： | 本文将基于随机场局部平均的随机有限元法应用于结构分析中的实特征值问题,给出了2次摄动求随机实特征值和特征向量的1、2阶矩的有限元公式。算例表明,本文方法随单元数的收敛速度比现有的方法快得多,在较少单元数下即可获得满意的结果。
|
| 关 键 词： | 随机结构 特征值 有限元法 摄动法 |
| 收稿时间： | 1997-09-30; |
THE APPLICATION OF THE STOCHASTIC FEM BASED ON THE LOCAL AVERAGES OF RANDOM FIELDS TO RANDOM EIGENVALUE PROBLEMS |
| |
| Zhejiang University Zhu Weiqiu and Wu Weiqiang.THE APPLICATION OF THE STOCHASTIC FEM BASED ON THE LOCAL AVERAGES OF RANDOM FIELDS TO RANDOM EIGENVALUE PROBLEMS[J].Acta Aeronautica et Astronautica Sinica,1989,10(2):20-26. |
| |
| Authors: | Zhejiang University Zhu Weiqiu and Wu Weiqiang |
| |
| Institution: | Zhejiang University Zhu Weiqiu and Wu Weiqiang |
| |
| Abstract: | In the present paper the stochastic finite element method based on the local averages of random fields is applied to random eigenvalue problems .The formulas for the means and cova-riances of random eigenvalue and eigenvectors are derived by using second order perturbation method. The numerial results show that the convergence with increasing element number in the present method is much fast;r than that in Nakagiris' method,and only a few elements are required to obtain satisfactory results. |
| |
| Keywords: | random structure eigenvalue finite clement method perturbation method |
| 本文献已被 CNKI 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 |
