动摩擦作用下非光滑振动系统的黏滑颤振分析

Analysis of stick-slip and chatter of the non-smooth vibration system with Dankowicz dynamic friction

研究了一类含Dankowicz动摩擦的非光滑振动系统的动力学行为。建立了含Dankowicz动摩擦和弹性接触的非光滑振动系统的力学模型,分析了系统的运动过程。利用数值仿真方法探讨了系统运动在滑移-黏滞-碰撞接触-颤振之间转换的动力学行为。结果表明,在一定系统参数下,系统存在多种黏滑和颤振之间转换的运动形式,如周期滑移-黏滞-碰撞、周期滑移-黏滞-颤振-碰撞等。

The dynamic behavior of the non-smooth vibration system with Dankowicz dynamic friction is studied. The mechanical model of the non-smooth vibration system with Dankowicz dynamic friction and elastic contact is established. The motion process of the system is analyzed. The dynamic behavior of the system transition between slip-stick-collision contact-chatter is discussed by numerical simulation. The results show that there are a variety of transformational motion forms between stick-slip and flutter under a certain system parameters, such as period slip-viscous-collision, period slip-viscous-flutter-collision, etc.