Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems
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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．Abstract: 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.
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