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基于复模态理论研究线性周期时变齐次系统的动态特性
引用本文:任计格,王生泽.基于复模态理论研究线性周期时变齐次系统的动态特性[J].振动与冲击,2004,23(2):96-97,81.
作者姓名:任计格  王生泽
作者单位:东华大学,机械工程学院,上海,200051
摘    要:线性周期时变齐次系统的状态方程经李亚普诺夫变换后,周期系数线性时变振动系统转化为一非齐次定常线性系统。对于拓补等价定常线性系统,可视为复模态系统,系统具有复模态和复振型。通过研究发现,线性周期时变齐次系统的模态不仅具有复模态的性质,而且为周期时变性。

关 键 词:线性周期时变齐次系统  复模态  复振型  周期时变性  动态特性

Dynamic Analysis of the Linear Periodic Time-varying Vibration System Based on Complex Mode Theory
Ren Jige,Wang Shengze.Dynamic Analysis of the Linear Periodic Time-varying Vibration System Based on Complex Mode Theory[J].Journal of Vibration and Shock,2004,23(2):96-97,81.
Authors:Ren Jige  Wang Shengze
Abstract:The linear periodic time_varying vibration system can be changed to a constant coefficient linear system by L tansformation.The mode of the constant system is studied by complex mode theory.It concludes that the mode of the linear periodic time_varying vibration system is complex mode and is periodically time_varying.
Keywords:plural mode  complex mode shape  periodically time-varying
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