阻尼系统动力分析的矩阵摄动法

Matrix Perturbation Method for Dynamic Analysis of Damped System

本文以复模态理论为基础,给出了非回转阻尼系统及阻尼回转系统结构参数有微小改变时,相应的复频率和复模态一阶、二阶摄动公式.这对动力优化设计和复模态参数识别十分有意义,而且还可研究结构中各种参数改变时对频率和模态影响的灵敏度.最后给出了两个算例.

The first-order and second-order perturbation formulae are developed for nongyroscopic damped systems and gyroscopic damped systems, where the perturbation arise from small changes in the structural parameters.The solution is based on the complex modes theory.The object is to obtain the eigensolution of the perturbed system without repeating the original computation cycle.Undoubtedly it is useful for dynamic optimal design and the identification of complex mode parameters.Finally two illustative numerical examples are presented.