摘要
建立了冲击式振动落砂机的动力学模型,通过理论分析与数值仿真方法相结合,研究了冲击式振动落砂机碰撞系统的稳定性,得出周期解稳定的充要条件。揭示了在一定的参数变化下,系统由周期倍化分岔向混沌演化的过程。在此基础上,同时验证了冲击式振动落砂机系统在一种特殊情况下存在典型的倍周期分岔现象。
This paper establishes a dynamic model of the impact-inertial shaker through theoretical analysis and numerical simulations, and studies the stability of the inertial shakers, draws the necessary and sufficient conditions for the stability of periodic solutions. It is demonstrated that the system can exhibit chaotic behavior via doubling-periodic bifurcation under certain parameter changes. On this basis, this paper verifies the typical period-doubling bifurcation phenomenon of the impact system in a particular case.
出处
《机械》
2014年第2期6-9,共4页
Machinery
基金
甘肃省自然科学研究基金(1014RJZA048)
关键词
冲击振动
落砂机
周期运动
倍化分岔
混沌
vibro-impact
shaker
periodic motion
doubling bifurcation
chaos
