利用改进牛顿-拉夫逊法的高速圆柱滚子轴承打滑分析  

Skidding Analysis of High-Speed Cylindrical Roller Bearings Using Improved Newton-Raphson Method

作　　者：金海善[1] 朱爱斌[1] 陈渭[1] 

机构地区：[1]西安交通大学现代设计及转子轴承系统教育部重点实验室,西安710049

出　　处：《西安交通大学学报》2015年第1期133-138,共6页Journal of Xi'an Jiaotong University

基　　金：国家"973计划"资助项目(2011CB706601)

摘　　要：在考虑油气阻力和保持架与滚子之间的摩擦力的基础上,推导了圆柱滚子轴承拟动力学分析模型。提出采用改进的牛顿拉夫逊法求解大规模非线性方程组,可以克服传统算法对初值要求较高、方程组规模较大时迭代很难收敛的问题,在分析高速滚子轴承打滑时具有较好的效果。通过与已有的分析和实验结果进行对比后发现:滚动轴承保持架打滑与轴承所受径向载荷有关,在一定范围内增大径向载荷,可明显抑制打滑现象;在高速滚动轴承非承载区,滚子转速与保持架转速相关,且随保持架转速的增加而增加,而当保持架转速接近理论转速时,滚子打滑程度与径向载荷无关。Considering the roller pocket friction and churning loss, a roller bearing quasidynamics model was established. An improved Newton-Raphson method was proposed to solve the large-scaled nonlinear equations. This method can overcome the difficulty of conventional method in finding an appropriate initial value and accelerating the iteration converge when the nonlinear equation is in a large scale. Compared with the experimental results in a literature, the proposed method gives better results than other methods in analyzing the skidding of high-speed roller bearing. It is found that： 1） the cage skidding is related to the radial load, and in a certain range, increasing the radial load can significantly suppress skidding; 2） the unloaded rollers＇ rotational speed is related to the cage speed, and the unloaded rollers＇ rotational speed accelerates when the cage speed increases, while the unloaded rollers＇ speed is unrelated to the radial load when the cage speed is close to the theoretical speed.

关 键 词：大规模非线性方程组 圆柱滚子轴承 拟动力学 打滑分析 

分 类 号：TH113.2[机械工程—机械设计及理论]