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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 1984, Vol. 5 ›› Issue (3): 321-332.
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Zhang Azhou, Zhu Demao
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Abstract: This paper is concerned with vibration problems of linear System with viscous damping.A complex mode theory is presented. The characteristics of free vibration of a damped system, such as complex conjugate, decaying vibration, decoupling and orthogonality, are analyzed byusing the sta -te space method. The basic concepts "complex frequency" and "complex mode shape" are discussed.The impulse response matrix and transfer function matrix of a damped system are also presented in this paper, and their response characteristics are analyzed.The initial value of the modal component of impulse response matrix[hi(0)]indicates the non-proportional component of the viscous damping or, simply, the"complex" of a damped system.The modal velocity frequency response function matrix of a damped system approximately provides the admittance circle property in the phase plane under the condition of rather small modal damping ratio. The concept of resonance is tentatively treated.
Zhang Azhou;Zhu Demao. VIBRATION ANALYSIS OF A DAMPED SYSTEM[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1984, 5(3): 321-332.
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