多自由度非线性振动系统的内共振

On Internal Resonance of Nonlinear Vibrating Systems with Many Degrees of Freedom

本文研究多自由度非线性自治系统的周期解问题,我们推广了KBM法,本方法可以求得极限环的相图,振幅,周期及其稳定性.

The problem of periodic solutions of nonlinear autonomous systems with many degrees of freedom is considered. This is made possible by the development of a modified version of the KBM method[1].The method can be used to generate limit cycle phase portrait, amplitude, period and to indicate stability of the limit cycle.