多自由度非线性振动系统的内共振

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

摘要: 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^[1]法,本方法可以求得极限环的相图,振幅,周期及其稳定性.
- 非线性振动 /
- 锁相周期解 /
- 相图
Abstract: 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.
- nonlinear oscillations /
- phase-locked solution /
- phase portrait

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