中文摘要：

针对含间隙、弹性约束的碰撞振动系统动力学模型，利用四阶变步长Runge-Kutta法对系统进行数值仿真，仿真出了在不同系统参数下系统的全局分岔图，揭示了不同系统参数对系统动力学行为的影响和系统通向混沌的运动过程，从而对系统参数的优化和系统的控制提供理论参考．

英文摘要：

The dynamic model of vibro-impact system with clearance and elastic constraint is simulated by numerical method of the step-varying Runge-Kutta of four order, and the system＇s global bifurcation diagrams are elicited under different parameters, which shows the effect of different parameters on dynamic behavior, and the process of dynamic system tending to chaos. All these conclusions can provide theory reference for the optimizing of system parameters and the control of this system.