【作者】 曹家玉； 方之楚；

【Author】 Cao Jiayu Fang Zhichu (Department of Engineering Mechanics,Shanghai Jiaotong University Shanghai,200030)

【机构】 上海交通大学工程力学系；

【摘要】 为求出随机工程结构特征对的方差,本文采用模态综合法和摄动随机有限元法相结合,推导出诸特征值和特征向量对随机变量的偏导数。通过典型算例,定量地研究了复杂随机结构各子结构动模态选取个数和计算精度间的关系。更多还原

【Abstract】 The component mode synthesis method.combined with the stochastic finite element method,is used to study eigen-problems of random engineering structures. In order to get variances of eigen-couples for complicated structures, partial derivatives of eigenvalues and eigenvectors with respect to random variables are derived out. Numerical study shows that the relation between the chosen number of dynamic modes of sub-structures and the computational accuracy to meet the engineering requirement is obtained quantitatively.更多还原