变质量碰撞振动系统的建模及动力学分析

Modeling and analyzing variable mass vibro-impact system

在建立变质量碰撞振动系统的动力学模型时,将自由质量与主系统之间的不连续碰撞过程等效为弹簧刚度和粘性阻尼的连续作用,并以分岔和混沌理论为基础,通过数值法分析了激振频率对变质量碰撞振动系统动态特性的影响。研究表明,以频率比作为控制参数时,系统的振动响应经历了由周期运动—混沌—周期运动变化的过程。该研究方法为颗粒碰撞阻尼振动系统的分析和设计提供了理论参考。

When establishing dynamics model of the vibro-impact system,the discontinuous impact process between free mass and main system is equivalent to continuous action of spring stiffness and viscous damping,and based on theory of bifurcation and chaos,the influence on the dynamic performance of the vibro-impact system by the excited frequencies was analyzed by adopting numerical method.The research shows that the system will experience a process from period-one motion to chaos and again back to period-one motion when the system transits the resonance.This research method has provided a theoretical reference for the analysis and design of particle collisions damping vibration system.