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采用理论分析和数值仿真相结合的方法 ,研究了一类两自由度碰撞振动系统在一种强共振条件下的Hopf分叉问题 .分析并证实了碰撞振动系统在此共振条件下可由稳定的周期 1 1振动分叉为不稳定的周期 3 3振动 ,讨论了亚谐振动向混沌运动的演化过程
The Hopf bifurcation problem of a two-degree-of-freedom collision-vibration system under a strong resonance condition is studied by the combination of theoretical analysis and numerical simulation. It is confirmed that the collision-vibration system can be controlled by a stable period 1 1 vibration is bifurcated into a period of unstable 3 3 vibration, and the evolution of subharmonic vibration to chaotic motion is discussed