粘性阻尼振动系统的复模态摄动分析及应用

利用复模态的矩阵摄动理论，分析一般粘性阻尼系统的模态频率和复振型对结构质量、刚度及阻尼修改的灵敏度特性，从而阐明选择结构摄动修改方案和最灵敏位置的一般原理，减小了复杂结构动态特性修改设计的计算量。通过对ＲＤＴ－１试验台动态特性的摄动分析计算，获得满足试验台工作特别要求的动态特性的结构设计方案。

Perturbation Analysis of Complex Modes for Vibration System with Viscous Damping and Its Application

The sensitivity characteristics of the undamped natural frequencies and complex mode shapes of vibration system with the non-proportional viscous damping with respect to structural mass, stiffness and damping modifications are analyzed in this paper using the matrix perturbation of complex modes. The general principles for the selectivity of the design and the most sensitive positions of the structural perturbation modifications are shown thereby. This is of importance to a great computational savings in the dynamic characteristic improvement of large or complex structures. By the dynamic characteristic sensitivity analysis of a test device type RDT-1,the optimal structural design for its especial requirement of dynamic characteristics is obtained easily and the principles presented in this paper are confirmed by the numerical results of perturbation analysis.