航空学报 > 1994, Vol. 15 Issue (12): 1486-1489

非比例阻尼系统动力修改的摄动分析

孙久厚, 朱德懋   

  1. 南京航空航天大学振动工程研究所, 南京, 210016
  • 收稿日期:1993-12-01 修回日期:1994-01-25 出版日期:1994-12-25 发布日期:1994-12-25

PERTURBATION ANALYSIS FOR STRUCTURAL DYNAMIC MODIFICATION OF NON-PROPORTIONAL DAMPED VIBRATION SYSTEMS

Sun Jiuhou, Zhu Demao   

  1. Vibration Engineering Research Institute, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016
  • Received:1993-12-01 Revised:1994-01-25 Online:1994-12-25 Published:1994-12-25

摘要: 讨论了对非比例阻尼振动系统作小修改时,其复频率和复振型的摄动分析方法。当振动系统的质量矩阵、刚度矩阵和阻尼矩阵有较小修改时,不重复求解大型复广义特征问题,在已知初始系统复模态参数的基础上进行复模态坐标变换,用矩阵摄动法给出修改系统的频率、阻尼比和复振型。算例表明,将这种方法用于非比例阻尼振动系统的动力修改,计算简单,费用经济,精度较高,因此是一种行之有效的分析方法。

关键词: 结构动力学, 振动分析方法, 振动特性, 摄动方法

Abstract: A perturbation method for analyzing the complex frequencies and modes of non-pro-portional damped vibration systems is presented.When the mass,stiffness and damping matrices of the original system vary a little,carrying out the complex modal coordinate transformation based on the original known complex modes and using the matrix perturbation method,the fre-quencies,damping ratios and complex modes of the updated system can be obtained without re-solving a new large generalized complex eigenvalue problem.The numerical example shows that the present method is simple,economic and highly accurate.

Key words: structural dynamics, vibration analysis method, vibration characteristicsperturbation method

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