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工程设计学报
Chinese Journal of Engineering Design  2023, Vol. 30 Issue (6): 738-745    DOI: 10.3785/j.issn.1006-754X.2023.03.164
Reliability and Quality Design     
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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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     
Received: 12 May 2023      Published: 02 January 2024
CLC:  TB 114  
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Junxing LI
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Cite this article:

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

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


滚动轴承径向游隙可靠性设计

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 
Fig.1 Test site of radial clearance of rolling bearing
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
Table 1 Test results of radial clearance of rolling bearing
Fig.2 Q-Q diagram of original radial clearance of rolling bearing
Fig.3 Q-Q diagram of failed radial clearance of rolling bearing
原假设自由度p决策
原始径向游隙服从正态分布100.200①保留原假设
失效径向游隙服从正态分布100.200①保留原假设
原始径向游隙服从对数正态分布100.200①保留原假设
失效径向游隙服从对数正态分布100.200①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
Table 2 Non-parametric test results of radial clearance of rolling bearing
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
Table 3 Confidence interval of original radial clearance of rolling bearing under different distributions of sample data
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