多自由度线性周期系统的振动研究

On the Vibration of a Linear Periodical System with Multiple Degrees of Freedom

本文采用摄动法研究含有小参数的多自由度线性周期系统的振动稳定性和在外激励作用下的强迫振动响应计算问题,并提出了改善系统振动性能的方法.

The perturbation method is used to investigate the stability and forced vibration response of a linear periodical system with multiple degrees of freedom. With the criterion for stability deduced by the method of excitation frequency perturbation, the theoretical and computational work is significantly simplified. Measures such as additional damping, adjustment of system natural frequency and reduction of the amplitude of periodically varying stiffness to improve the stability of the system are proposed. An analysis on the forced vibration response indicates that, to make the amplitude of vibration small, the structural and operational parameters of the system should be carefully selected so as to avoid resonance. The example given shows that the theory and method presented is simple and effective.