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工程设计学报  2023, Vol. 30 Issue (6): 738-745    DOI: 10.3785/j.issn.1006-754X.2023.03.164
可靠性与保质设计     
滚动轴承径向游隙可靠性设计
李军星1,2(),宁世杰1,邱明1
1.河南科技大学 机电工程学院,河南 洛阳 471003
2.高端轴承河南省协同创新中心,河南 洛阳 471003
Reliability design of radial clearance of rolling bearing
Junxing LI1,2(),Shijie NING1,Ming QIU1
1.School of Mechatronical Engineering, Henan University of Science and Technology, Luoyang 471003, China
2.Henan Provincial Collaborative Innovation Center for High-end Bearings, Luoyang 471003, China
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摘要:

游隙是评价滚动轴承精度和质量的关键因素之一。科学合理地选择游隙有利于延长轴承寿命,而传统基于工程经验的游隙确定方法往往缺乏理论依据和可靠性。由此,提出了基于应力-强度干涉模型的滚动轴承径向游隙可靠性设计方法。首先,将轴承原始径向游隙和失效径向游隙看作随机变量,构建轴承二维随机干涉模型;其次,针对工程中常用的服从正态分布、对数正态分布、指数分布和Weibull分布的轴承原始径向游隙和失效径向游隙,推导了求解滚动轴承可靠性的解析式以及在给定可靠度下轴承径向游隙置信区间;最后,将求得的16004深沟球轴承径向游隙置信区间与现行国家标准对比,结果验证了所提出方法的有效性和适用性。研究表明:采用所提出方法设计的滚动轴承径向游隙置信区间符合国家标准,且更加合理可靠;可以设计出任意可靠度下的轴承径向游隙置信区间,为滚动轴承的设计和优化提供了理论支撑。

关键词: 滚动轴承径向游隙设计应力-强度干涉模型正态分布Weibull分布    
Abstract:

Clearance is one of the key factors in evaluating the accuracy and quality of rolling bearings. Scientific and reasonable selection of clearance is conducive to increasing bearing life, while traditional methods for determining clearance based on engineering experience often lack theoretical basis and reliability. Therefore, a reliability design method for radial clearance of rolling bearing based on stress-strength interference model was proposed. Firstly, the original radial clearance and failed radial clearance of the bearing were regarded as random variables, and a two-dimensional random interference model of the bearing was constructed; secondly, according to the original radial clearance and failed radial clearance of bearing with normal, lognormal, exponential and Weibull distributions commonly used in engineering, the analytical formula for solving the reliability of rolling bearing and the confidence interval of bearing radial clearance under given reliability were derived; finally, the obtained confidence interval of 16004 deep groove ball bearing radial clearance was compared with that of the current national standard, and the effectiveness and applicability of the proposed method were verified. The results showed that the confidence interval of radial clearance of rolling bearing designed by the proposed method met the national standard and was more reasonable and reliable. The confidence interval of radial clearance under any reliability could be designed, which provided theoretical support for the design and optimization of rolling bearings.

Key words: rolling bearing    radial clearance design    stress-intensity interference model    normal distribution    Weibull distribution
收稿日期: 2023-05-12 出版日期: 2024-01-02
CLC:  TB 114  
基金资助: 国家自然科学基金资助项目(52005159);河南省高校青年骨干教师培养计划资助项目(2021GGJS048);河南省青年人才托举工程项目(2023HYTP050);河南省科技研发计划联合基金资助项目(225200810073)
作者简介: 李军星(1990—),男,河南驻马店人,副教授,博士,从事可靠性设计与评估研究,E-mail: lijun-xing2008@163.com, https://orcid.org/0000-0001-9417-5343
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引用本文:

李军星,宁世杰,邱明. 滚动轴承径向游隙可靠性设计[J]. 工程设计学报, 2023, 30(6): 738-745.

Junxing LI,Shijie NING,Ming QIU. Reliability design of radial clearance of rolling bearing[J]. Chinese Journal of Engineering Design, 2023, 30(6): 738-745.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2023.03.164        https://www.zjujournals.com/gcsjxb/CN/Y2023/V30/I6/738

图1  滚动轴承径向游隙测试现场
组号原始径向游隙测试值失效径向游隙测试值
119.023.0
215.818.5
318.020.3
418.521.3
514.517.7
616.219.8
716.219.3
820.025.0
916.820.3
1017.221.7
表1  滚动轴承径向游隙测试结果 (μm)
图2  滚动轴承原始径向游隙的Q-Q图
图3  滚动轴承失效径向游隙的Q-Q图
原假设自由度p决策
原始径向游隙服从正态分布100.200保留原假设
失效径向游隙服从正态分布100.200保留原假设
原始径向游隙服从对数正态分布100.200保留原假设
失效径向游隙服从对数正态分布100.200保留原假设
原始径向游隙服从指数分布100.003拒绝原假设
失效径向游隙服从指数分布100.003拒绝原假设
表2  滚动轴承径向游隙非参数检验结果
可靠度原始径向游隙置信区间
正态分布对数正态分布
0.95[14.127 3, 18.950 6] μm[14.588 3, 18.775 2] μm
0.999[8.0531, 19.955 5] μm[10.630 3, 19.791 9] μm
表3  不同样本数据分布下滚动轴承原始径向游隙置信区间
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