摘要
提出了一种计算阻尼系统重特征值及其特征向量导数的方法.该方法利用n维空间的特征向量计算特征对的导数,避免了状态空间中特征向量的使用,从而节省了计算量,提高了计算效率.最后以一个5自由度的非比例阻尼系统对所提方法进行了数值试验,数值结果表明方法是有效的.
A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system, and the use of rather undesirable state space representation is avoided. Hence the cost of computation is greatly reduced. The efficiency of the proposed procedure is illustrated by considering a 5-DOF non-proportionally damped system.
出处
《应用数学和力学》
CSCD
北大核心
2007年第6期749-756,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金会数学天元基金资助项目(10626019)
关键词
特征值导数
特征向量导数
灵敏度分析
阻尼系统
重特征值
eigenvalue derivatives
eigenvector derivatives
sensitivity analysis
damped systems
repeated eigenvalues
