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线性振动亏损系统的广义模态理论
引用本文:时国勤,诸德超.线性振动亏损系统的广义模态理论[J].力学学报,1989,21(2):183-191.
作者姓名:时国勤  诸德超
作者单位:北京航空学院 (时国勤),北京航空学院(诸德超)
摘    要:

关 键 词:线性振动  亏损系统  结构振动  模态

THE GENERALIZED MODE THEORY OF LINEAR STRUCTURAL VIBRATION DEFECTIVE SYSTEMS
Shi Guoqin,Zhu Dechao.THE GENERALIZED MODE THEORY OF LINEAR STRUCTURAL VIBRATION DEFECTIVE SYSTEMS[J].chinese journal of theoretical and applied mechanics,1989,21(2):183-191.
Authors:Shi Guoqin  Zhu Dechao
Institution:Beijing Institute of Aeronautics and Astronautics
Abstract:In this paper, according to the characteristics of linear vibrating defective systems, a complete set of linearly independent generalized eigenvectors is found for the defective system. Such eigenvectors many be called as generalized modes. The partially bi-orthogonality relation between the generalized modes of the original and the adjoint systems i's also found and demonstrated. By use of the bi-orthogonality relation, the most general expressions of the transfer function and the pulse response function of linear vibrating system are derived.A sample example is given to show the correctness and effectiveness of the suggested theory and method.
Keywords:structural dynamics  linear vibrating defective systems  generalized modes  
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