阻尼系统振动分析的复模态矩阵摄动法  

Matrix Perturbation Method of Complex Modes in Vibration Analysis of Damped System

作　　者：徐伟华[1] 刘济科[1] 

机构地区：[1]中山大学应用力学与工程系

出　　处：《中山大学学报（自然科学版）》1998年第4期50-54,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：广东省自然科学基金;西安交通大学国家重点实验室开放研究基金

摘　　要：研究了阻尼系统振动分析的复模态矩阵摄动法，推导了孤立特征值及重特征值情况的一阶、二阶摄动公式，特别是通过引进１个非常简单的范化条件，就完全确定了现有方法中的有关摄动项的不确定量．并且给出了相应的算例．A matrix perturbation method of complex modes in vibration analysis of damped system is studied. By introducing a simple normalization condition, the perturbation terms of eigenvectors can be determined conveniently and uniquely. And the perturbation formulas of the first and second order are derived for the cases of distinct and repeated complex eigenvalues. Illustrative examples are given to show that this perturbation method is able to give approximate results extremely close to exact results.

关 键 词：阻尼系统 复模态 矩阵摄动法 振动分析 

分 类 号：O32[理学—一般力学与力学基础]