粘性阻尼振动系统的复模态摄动分析及应用  

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

作　　者：邓兆祥[1,2] 梁锡昌[1,2] 何渝生[1,2] 

机构地区：[1]重庆大学汽车学院 [2]重庆大学机械传动国家重点实验室

出　　处：《重庆大学学报（自然科学版）》1997年第2期1-9,共9页Journal of Chongqing University

摘　　要：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。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.

关 键 词：摄动法 机械振动 复模态摄动 粘性阻尼系统 

分 类 号：TH113.1[机械工程—机械设计及理论]