含关节滚动轴承的多体系统碰撞动力学研究

A study on impact dynamics of multibody systems with rolling element bearing joints

为能深入揭示多体系统外部碰撞作用与关节滚动轴承动态载荷变化规律之间的映射关系,基于多体动力学理论、Hertz接触理论及连续碰撞力模型,提出一种可描述含关节滚动轴承多体系统碰撞动力学行为的建模方法。基于该方法,以含深沟球轴承的曲柄滑块机构及具有弹性支撑的目标刚体组成的碰撞多体系统为分析对象,深入探讨该类复杂非连续动力学系统动态响应。研究表明,碰撞作用不仅对系统宏观动力学性态产生影响,同时导致关节滚动轴承运动副等效约束反力及轴承各滚动体载荷发生突变。

In order to deeply reveal the relationship between the external impact effect of multibody system and the variation of the dynamic load of rolling bearing joint, a methodology for modeling of multibody systems with rolling bearing joints is pres- ented based on the theories of multibody dynamics, Hertz contact and continuous contact force model. By using this method, an impact multibody system which consists of a slider-crank mechanism with a deep groove ball bearing and a target rigid body with elastic support was modeled and taken as an analytical example. The dynamic responses of this kind of complicated non- continuous dynamic system were discussed. The results show that the impact effects not only have an influence on dynamic performance of the multibody system, but also lead to drastic changes of the equivalent constraint forces and rolling element loads in bearing joint.