基于球-滚道非完全接触状态下的球轴承载荷分布计算及刚度特性研究

doi:10.3901/JME.2020.09.073

机械工程学报 ›› 2020, Vol. 56 ›› Issue (9): 73-83.doi: 10.3901/JME.2020.09.073

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基于球-滚道非完全接触状态下的球轴承载荷分布计算及刚度特性研究

张进华^1,2, 方斌^1,2, 朱永生^1,2, 闫柯^1,2, 洪军^1,2

1. 西安交通大学现代设计及转子系统教育部重点实验室西安 710049;
2. 西安交通大学机械工程学院西安 710049

收稿日期:2019-05-15 修回日期:2019-12-30 出版日期:2020-05-05 发布日期:2020-05-29
通讯作者: 闫柯(通信作者),男,1984年出生,博士,副教授,博士研究生导师。主要研究方向为轴承润滑及热分析,主轴系统建模数字化建模等。E-mail:yanke@mail.xjtu.edu.cn
作者简介:张进华,男,1979年出生,博士,副教授,博士研究生导师。主要研究方向为智能脑电控制、软体机器人及轴承-转子系统建模及设计。E-mail:jjshua@mail.xjtu.edu.cn
基金资助:
国家自然科学基金资助项目（51675410）。

Investigation of the Load Distribution and Stiffness Characteristic of Ball Bearing under Ball-raceway Separation Condition

ZHANG Jinhua^1,2, FANG Bin^1,2, ZHU Yongsheng^1,2, YAN Ke^1,2, HONG Jun^1,2

1. Key Laboratory of Education Ministry for Modern Design and Rotor-bearing System, Xi'an Jiaotong University, Xi'an 710049;
2. School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049

Received:2019-05-15 Revised:2019-12-30 Online:2020-05-05 Published:2020-05-29

摘要/Abstract

摘要： 针对非完全接触状态下的球轴承建模及特性分析，提出新的初始位置假设，并结合球-滚道接触状态判定准则建立了不同载荷（轴向、径向及联合载荷）条件下高速球轴承的通用分析模型。在此基础上，运用球轴承刚度矩阵解析计算方法，构建嵌套式Newton-Raphson迭代算法，实现上述模型求解，并针对不同工况条件下的球轴承的内部载荷分布及刚度特性展开分析。计算结果表明，所得结果相比于Jones-Harris模型更具合理性和适用性，且轴承内部载荷分布及刚度特性受轴承外部载荷条件及内部接触状态共同作用，轴承内部接触区滚珠个数随轴承间隙、外部载荷及转速大小变化而改变，进而引起轴承刚度突变。此外，适当增加轴向载荷可有效改善轴承内部载荷分布及增加接触区滚珠个数。

关键词: 球轴承, 接触状态分析, 初值位置假设, 载荷分布, 刚度矩阵

Abstract: Aiming at the theoretical modelling and characteristic analysis of ball bearing under the ball-raceway separation condition, the new initial position for ball bearing modelling is proposed. Combining with the ball-raceway contact analysis, a general model for ball bearing under different load conditions is presented. Then the proposed model is solved by a nested Newton-Raphson iterative algorithm based on the analytical calculation method for bearing stiffness matrix. On this basis, the load distribution and stiffness characteristic of ball bearing under three different load conditions are analyzed. The results show that the proposed model is more reasonable and applicable than the Jones-Harris model. Moreover, the internal load distribution and stiffness are determined by both the external load and internal contact state of ball bearing, and the number of balls in loaded zone caused by the changes of the radial clearance, external load and speeds can further lead to the sudden change of bearing stiffness. In addition, appropriate increases of axial load can effectively improve the load distribution and increase the numbers of balls in loaded zones of ball bearing.

Key words: ball bearing, contact state analysis, initial position assumption, load distribution, stiffness matrix

中图分类号:

TH133

张进华, 方斌, 朱永生, 闫柯, 洪军. 基于球-滚道非完全接触状态下的球轴承载荷分布计算及刚度特性研究[J]. 机械工程学报, 2020, 56(9): 73-83.

ZHANG Jinhua, FANG Bin, ZHU Yongsheng, YAN Ke, HONG Jun. Investigation of the Load Distribution and Stiffness Characteristic of Ball Bearing under Ball-raceway Separation Condition[J]. Journal of Mechanical Engineering, 2020, 56(9): 73-83.

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基于球-滚道非完全接触状态下的球轴承载荷分布计算及刚度特性研究

Investigation of the Load Distribution and Stiffness Characteristic of Ball Bearing under Ball-raceway Separation Condition

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