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| Dynamic response analysis of the linear system with repeated frequencies |
| Received:February 20, 2012 Revised:June 15, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201302005 |
| KeyWord:damped system repeated eigenvalues transfer function residue matrix modal superposition method |
| Author | Institution |
| 俞瑞芳 |
中国地震局地球物理研究所,北京 |
| 周锡元 |
北京工业大学 结构抗震与诊治北京市重点试验室,北京 |
| 袁美巧 |
重庆市地震工程研究所,重庆 |
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| Abstract: |
| For the generally damped linear systems with repeated eigenvalues,a hybrid approach based on the complex modal superposition method and residue matrix decomposition method is presented.The hybrid approach incorporates the merits of the modal superposition method and residue matrix decomposition method,and has clear physical concept and is easily to be understood and mastered by engineering designers to analyze the large structures.Besides,the conditions producing repeated eigenvalues for the double degrees of freedom system are deduced,and the implementation procedure of the proposed hybrid approach in the paper is illustrated by analyzing simple numerical examples.Finally,correctness and effectiveness of the formula are judged by comparing the results obtained from Newmark-β methods.It pointed out that the method derived in this paper is also suitable for linear system,electro-mechanical and control system. |
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