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重频亏损系统的振动方程解耦
引用本文:张淼,于澜.重频亏损系统的振动方程解耦[J].长春大学学报,2014(4):458-461.
作者姓名:张淼  于澜
作者单位:长春工程学院理学院,长春130012
基金项目:吉林省自然科学基金资助项目(201215115)
摘    要:利用广义模态理论,寻求重频亏损系统状态矩阵的广义状态向量,然后引入其伴随向量,形成规范正交化条件,从而解耦振动微分方程,将其化为一组一阶可分离和线性的微分方程,获得自由响应的解析解。

关 键 词:亏损系统  广义状态向量  动力响应  解耦

Decoupling for Vibration Equations of Repetition Frequency Defective System
ZHANG Miao,YU Lan.Decoupling for Vibration Equations of Repetition Frequency Defective System[J].Journal of Changchun University,2014(4):458-461.
Authors:ZHANG Miao  YU Lan
Institution:(School of Science, Changchun Institute of Technology, Changchun 130012, China)
Abstract:On the basis of generalized mode theory,the generalized state vector of state matrix in repetition frequency defective system is found,and then the adjoint vector is introduced to form normal orthogonalized condition,so as to decouple the vibration differential equation,which turns it to a set of first-order separable linear differential equations and gets the analytical solution to free response.
Keywords:defective system  generalized state vector  dynamic response  decoupling
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