轴承零件几何误差对圆柱滚子轴承回转误差的影响:第一部分计算方法

doi:10.3901/JME.2019.01.062

机械工程学报 ›› 2019, Vol. 55 ›› Issue (1): 62-71.doi: 10.3901/JME.2019.01.062

轴承零件几何误差对圆柱滚子轴承回转误差的影响:第一部分计算方法

余永健¹, 陈国定¹, 李济顺², 薛玉君^2,3

1. 西北工业大学机电学院西安 710072;
2. 河南科技大学河南省机械设计及传动系统重点实验室洛阳 471003;
3. 航空精密轴承国家重点实验室洛阳 471003

收稿日期:2018-01-22 修回日期:2018-04-12 出版日期:2019-01-05 发布日期:2019-01-05
通讯作者: 余永健(通信作者),男,1979年出生,博士研究生。主要研究方向为滚动轴承性能分析及理论。E-mail:yuyongjian2008@126.com
作者简介:陈国定,男,1956年出生,博士,教授,博士研究生导师。主要研究方向为润滑与密封技术、机电系统热分析和现代机械设计理论与方法。E-mail:gdchen@nwpu.edu.cn;李济顺,男,1963年出生,博士,教授,博士研究生导师。主要研究方向为精密测量理论与技术、机械产品性能测试、数据采集与信号分析。E-mail:li_jishun@163.com
基金资助:
国家自然科学基金（51375148）、河南省自然科学基金（162300410064）、河南省高等学校重点科研项目（15A460022）和河南省高校科技创新团队支持计划（15IRTSTHN008）资助项目。

Effect of Geometric Errors of Bearing Components on Motion Error of Cylindrical Roller Bearings Part I: Calculation Method

YU Yongjian¹, CHEN Guoding¹, LI Jishun², XUE Yujun^2,3

1. School of Mechatronics and Engineering, Northwestern Polytechnical University, Xi'an 710072;
2. Henan Key Laboratory for Machinery Design and Transmission System, Henan University of Science and Technology, Luoyang 471003;
3. State Key Laboratory of Aviation Precision Bearings, Luoyang 471003

Received:2018-01-22 Revised:2018-04-12 Online:2019-01-05 Published:2019-01-05

摘要/Abstract

摘要： 轴承旋转精度的高低取决于轴承回转误差的大小，而轴承回转误差又取决于轴承零件的几何精度。因此，研究轴承零件几何误差和轴承回转误差的关系对轴承零件加工公差合理分配及成品轴承精度预测有重要意义。为此，提出一种基于几何和载荷约束共同作用下圆柱滚子轴承回转误差计算方法。在几何约束模型中，考虑轴承内圈滚道、外圈滚道和滚子表面的尺寸误差和形状误差，同时还考虑由轴承零件几何误差引起的滚子-滚道接触位置变化。在载荷约束模型中，考虑由轴承零件几何误差引起的滚子-滚道接触力方向的变化。在此基础上，运用Hertz接触理论和静力学，推导轴承回转误差计算方法。提出可用于分析轴承零件几何误差、弹性变形和滚子个数三者的耦合效应对轴承内圈回转误差的影响规律的计算方法，为高精度滚动轴承的精度设计、公差分配及加工工艺参数的控制提供理论依据，从而有效提高滚动轴承旋转精度。

关键词: 回转误差, 几何误差, 精度设计, 旋转精度, 圆柱滚子轴承

Abstract: The rotation accuracy of assembled bearing depends on motion error of the bearing, and the motion error of the bearing depends on geometric accuracy of bearing components. Therefore, it is crucial to establish the relationship between geometric error of bearing components and motion error of assembled bearing, which contributes to reasonable distribution of machining tolerance of bearing components and prediction for rotational accuracy of assembled bearing. For this reason, a calculation method for motion error of cylindrical roller bearings is proposed based on geometrical and load constraints model of cylindrical roller bearings. The geometrical constraint model considers dimension and form errors in the inner raceway, the outer raceway and rollers and the change of contact positions between the raceways and rollers that result from geometric errors of bearing components. The load constraint model considers the direction variation of the roller-raceway contact force that results from geometric errors of bearing components. On this basis, the calculation method for motion error of the bearing is derived based on Hertz contact theory and statics. The proposed calculation method could be used to analyze the coupling effect of the roller number, load and geometric errors of bearing components on the motion error of the inner ring, which is helpful to for the precision design and tolerance distribution and the control of machining process parameters of bearing components in order to improve efficiently the rotational accuracy of assembled bearing.

Key words: cylindrical roller bearing, geometric error, motion error, precision design, rotational accuracy

中图分类号:

TH133

余永健, 陈国定, 李济顺, 薛玉君. 轴承零件几何误差对圆柱滚子轴承回转误差的影响:第一部分计算方法[J]. 机械工程学报, 2019, 55(1): 62-71.

YU Yongjian, CHEN Guoding, LI Jishun, XUE Yujun. Effect of Geometric Errors of Bearing Components on Motion Error of Cylindrical Roller Bearings Part I: Calculation Method[J]. Journal of Mechanical Engineering, 2019, 55(1): 62-71.

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轴承零件几何误差对圆柱滚子轴承回转误差的影响:第一部分计算方法

Effect of Geometric Errors of Bearing Components on Motion Error of Cylindrical Roller Bearings Part I: Calculation Method

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