摘要
在线性振动系统中系统矩阵不可能对角化的情况下,提出了所谓的线性亏损系统的模态分析理论。引入系统矩阵的概念,对一般线性振动系统给出了系统自由响应、强迫响应和传递函数的显式计算公式,并指出复模态理论是亏损系统模态分析理论的特例。
The modal theory is presented for the vibration system whose system matrix can not be transformed to a diagnoal matrix, namely the linear defective system. The Jordan matrix is introduced in the vibration analysis, and upon this, the free response, the forced response and the transfer function of the system are presented. The complex modal theory is pointed out as the special case, and the relation is shown clearly. To check. the correctness of the theory, a two degrees of freedom vibrat/on system is studied, and the free responses of the system are calculated by the modal theory. The results show an good agreement with the those obtained by direct numerical integration.
关键词
线性振动系统
亏损系统
模态分析
linear vibration system, defective system, modal theory.
