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

doi:10.7652/xjtuxb201501022

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

更新时间：2025-07-09

- Skidding Analysis of High-Speed Cylindrical Roller Bearings Using Improved Newton-Raphson Method
- Vol. 49, Issue 1, Pages: 133-138(2015)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201501022
  CLC： TH113.2
- Online First：10 January 2015，
  
  Published：2015
- 稿件说明：
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Skidding Analysis of High-Speed Cylindrical Roller Bearings Using Improved Newton-Raphson Method[J]. 2015, 49(1): 133-138.
DOI：

Skidding Analysis of High-Speed Cylindrical Roller Bearings Using Improved Newton-Raphson Method[J]. 2015, 49(1): 133-138. DOI： 10.7652/xjtuxb201501022.

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。

Abstract

Considering the roller pocket friction and churning loss

a roller bearing quasi-dynamics 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

Keywords

references

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