干摩擦激励下含间隙碰撞振动系统的动力学行为研究

Nonlinear Dynamical Analysis of Oscillators with Clearance and Dry Friction Excitation

建立了干摩擦激励下的两自由度含对称间隙碰撞振动系统的动力学模型,分别给出了系统在滑动、粘着、碰撞时的运动方程和衔接条件.描述了一般运动情形下系统的全局Poincaré映射并阐述了判断系统稳定性的方法,利用数值迭代的方法求解和分析了系统的复杂动力学行为,并讨论了间隙和质量比对系统粘着碰撞运动的影响.

We established a dynamic model of two-degree-of-freedom oscillators with symmetric clearance and dry friction excitation.The equation of slip,stick and impact of the system is given and their engaging conditions are put forward,respectively.An analytical method for describing global Poincaré map for systems in general motions and elaborating the stability of the solution is presented.A numerical study,revealing the complicated dynamic behavior has been performed.The influence of stick-slip-impact motion affected by clearance and mass ratio is discussed.