计算亏损系统模态灵敏度的逐层递推演算方法  

RECURSIVE SOLUTION ON LAYER AFTER LAYER FOR SENSITIVITY ANALYSIS OF MODES ON DEFECTIVE LINEAR VIBRATION SYSTEM

作　　者：徐涛[1] 于澜[1] 鞠伟[1] 王永利[1] 程飞[1] 陈文峰[1] 

机构地区：[1]吉林大学机械科学与工程学院,长春130022

出　　处：《力学学报》2008年第2期281-288,共8页Chinese Journal of Theoretical and Applied Mechanics

基　　金：教育部高等学校博士点专项科研基金(20050183018);吉林大学"985工程"汽车工程科技创新平台资助项目

摘　　要：对不具有完全特征向量系的线性振动亏损系统,在由广义模态理论建立的亏损系统广义模态空间中,给出了亏损系统广义模态灵敏度分析算法,并推导出以逐层递推方式计算广义模态展开式系数的简便、快速的演算公式.给出的数值算例证明了此方法的正确性和有效性.Generalized modes method of defective systems for eigenvector sensitivity analysis is presented. It is proposed to establish a feature space about generalized modes by using the theory of generalized modes for sensitivity analysis in linear vibration defective systems which does not possess a complete set of eigenvectors in N-space. Simultaneously a brief and rapid algorithm is introduced to calculate the coefficients of the power series expression of generalized modes by gradual and recursive solution. A numerical example is provided to illustrate the accuracy and efficiency of the algorithms.

关 键 词：亏损系统 完全特征向量系 灵敏度分析 广义模态理论 JORDAN标准型 

分 类 号：O321[理学—一般力学与力学基础]