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结构参数非对称变化特征值问题的一种摄动解法
A Perturbation Method for Eigenvalue Problem of Non-symmetric Change of Structural Parameters
【摘要】 本文提出结构动力学参数非对称变化时,特征值问题的一种解法。把变化量表达为对称和反对称两部分,依次对原系统作摄动求解。对称部分是实模态摄动,反对称部分是复模态摄动。由此可得出变化后系统的特征值和特征向量的各阶渐近估计。
【Abstract】 This paper gives a method for problem of non-symmetric change of structural dynamic parameters. The change is divided into two parts: symmetric and antismpmetric change. The original system is perturbated by the symmetric change at first, and then by the antisymmetric change. The symmetric perturbation is of real mode and the antisymmetric is of complex mode. Thus, various order approximations of eigenvalues and eigenvectors of the changed system will be worked out.
【关键词】 动参数/非对称变化;
恃征值;
摄动;
实模态;
复模态;
【Key words】 dynamic parameter/non-symmetric change; eigenvalue; perturbation. real mode; complex mode;
【Key words】 dynamic parameter/non-symmetric change; eigenvalue; perturbation. real mode; complex mode;
- 【文献出处】 四川联合大学学报(工程科学版) , 编辑部邮箱 ,1998年03期
- 【分类号】O325
- 【被引频次】1
- 【下载频次】31