阻尼系统的振动分析

 本文讨论粘性阻尼线性系统的振动问题。阐述了复模态理论,用它分析了系统自由振动的特性。并用状态空间法讨论了系统的脉冲响应矩阵和传递函数矩阵,分析了它们的响应特性和共振的概念。

VIBRATION ANALYSIS OF A DAMPED SYSTEM

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 matrixhi（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.