基于等效原理的滚动轴承加速试验设计与评估

李军星; 刘静涛; 张勇波; 邱明; 庞晓旭

doi:10.13224/j.cnki.jasp.20220436

基于等效原理的滚动轴承加速试验设计与评估

doi: 10.13224/j.cnki.jasp.20220436

李军星^1,,
刘静涛¹,
张勇波²,
邱明^1,*, ,,
庞晓旭¹

1.
河南科技大学机电工程学院，河南洛阳 471003
2.
北京航空航天大学航空科学与工程学院，北京 100083

基金项目: 国家重点研发计划（2019YFB2004403）；国家自然科学基金（52005159）；河南省高校青年骨干教师培养计划（2021GGJS048）；河南省青年托举人才项目（2023HYTP050）；河南省科技攻关项目（222102220061）；河南省科技研发计划联合基金应用攻关项目（232103810043）

详细信息

作者简介:
李军星（1990-），男，副教授，博士，主要从事小样本可靠性评估、加速寿命试验等研究。E-mail：lijun-xing2008@163.com

通讯作者:
邱明（1969-），女，教授，博士，主要从事轴承设计与制造等研究。E-mail：qiuming69@126.com

中图分类号: V474.2；TB301；O211
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- 被引次数: 0
出版历程
- 收稿日期: 2022-06-18
- 网络出版日期: 2024-08-06

Accelerated test design and analysis of rolling bearings based on the principle of equivalence

1.
School of Mechatronics Engineering，Henan University of Science and Technology，Luoyang Henan 471003，China
2.
School of Aeronautic Science and Engineering，Beihang University，Beijing 100083，China

摘要

摘要:
针对越来越多的滚动轴承具有高可靠、长寿命的特点，提出一种基于等效原理的滚动轴承加速试验设计与评估方法。首先根据等效原理，建立了加速应力和正常应力之间的寿命分布关系式；其次，针对工程中常见的定时无失效、定时截尾和定数截尾3种数据类型，推导出了轴承剩余强度分布形状参数的估计方法；随后，分别推导出滚动轴承在给定可靠度下的加速应力水平和试验截止时间和在给定应力下的轴承可靠度与可靠寿命的单侧置信下限；最后，结合某关节轴承工程实例进行验证分析，结果表明：该方法计算出的正常应力水平下寿命和可靠度单侧置信下限分别为293.94 h和0.945，与实际的300 h和0.95吻合较好，为滚动轴承加速试验设计与评估提供有力的理论支撑。
- 滚动轴承 /
- 加速寿命试验设计 /
- 可靠性评估 /
- 等效原理 /
- Weibull分布
Abstract:
In view of the characteristics that more and more rolling bearings have high reliability and long life, a method based on the principle of equivalence was proposed for the accelerated test design and assessment of rolling bearings. Firstly, the relationship between the accelerated stress and the normal stress in terms of life distribution was established based on the principle of equivalence. Secondly, the estimation method of the shape parameters of the residual strength distribution of the bearing was individually given for the three common data types in the engineering, including zero-failure data, type-I and type-Ⅱ censored data. Subsequently, the accelerated stress levels and test cut-off times for rolling bearings at a given reliability, as well as the one-sided lower confidence limits for the bearing reliability and reliable life at a given stress, were derived, respectively. Finally, a validation analysis was conducted using a specific bearing engineering case study. The results indicated that the calculated lower one-sided confidence limits for life and reliability at normal stress levels were 293.94 h and 0.945, closely aligning with the actual values of 300 h and 0.95. This could strongly support the design and evaluation of accelerated testing for rolling bearings.
- rolling bearings /
- accelerated life test design /
- reliability assessment /
- principle of equivalence /
- Weibull distribution

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表 1 关节轴承试验结果

Table 1. Test results of joint bearing

工况	编号	失效寿命/h
$ {S_0} = 10 $ kN	Bearing 1-1	462
	Bearing 1-2	756
	Bearing 1-3	602.28
	Bearing 1-4	619.56
$ {S_{\text{t}}} = 25 $ kN	Bearing 2-1	224.2
	Bearing 2-2	280.33
	Bearing 2-3	320.62
	Bearing 2-4	361.25

下载: 导出CSV

表 2 计算结果

Table 2. Calculation results

工况	寿命/h	可靠度
$ {S_{\text{t}}} = 25 $ kN	325.6	0.966
$ {S_0} = 10 $ kN	293.94	0.945

下载: 导出CSV

参考文献(24)

[1]	茆诗松,王玲玲. 加速寿命试验[M]. 北京: 科学出版社,1997. MAO Shisong,WANG Lingling. Accelerated life test[M]. Beijing: Science Press,1997. (in Chinese MAO Shisong, WANG Lingling. Accelerated life test[M]. Beijing: Science Press, 1997. (in Chinese)
[2]	张春华,温熙森,陈循. 加速寿命试验技术综述[J]. 兵工学报,2004,25(4): 485-490. ZHANG Chunhua,WEN Xisen,CHEN Xun. A comprehensive review of accelerated life testing[J]. Acta Armamentarii,2004,25(4): 485-490. (in Chinese doi: 10.3321/j.issn:1000-1093.2004.04.024 ZHANG Chunhua, WEN Xisen, CHEN Xun. A comprehensive review of accelerated life testing[J]. Acta Armamentarii, 2004, 25(4): 485-490. (in Chinese) doi: 10.3321/j.issn:1000-1093.2004.04.024
[3]	ESCOBAR L A,MEEKER W Q. A review of accelerated test models[J]. Statistical Science,2006,21(4): 552-577.
[4]	黄婷婷,姜同敏. 加速寿命试验中统计加速模型综述[J]. 装备环境工程,2010,7(4): 57-62. HUANG Tingting,JIANG Tongmin. Review of statistical acceleration models in accelerated life testing[J]. Equipment Environmental Engineering,2010,7(4): 57-62. (in Chinese doi: 10.3969/j.issn.1672-9242.2010.04.014 HUANG Tingting, JIANG Tongmin. Review of statistical acceleration models in accelerated life testing[J]. Equipment Environmental Engineering, 2010, 7(4): 57-62. (in Chinese) doi: 10.3969/j.issn.1672-9242.2010.04.014
[5]	NELSON W B. Accelerated testing: statistical models,test plans,and data analysis[M]. Hobken,US: John Wiley & Sons,2009.
[6]	张勇波,傅惠民,王治华. 恒定应力无失效加速寿命试验可靠性分析方法[J]. 航空动力学报,2013,28(3): 520-524. ZHANG Yongbo,FU Huimin,WANG Zhihua. Method for reliability analysis on constant-stress zero-failure accelerated life test[J]. Journal of Aerospace Power,2013,28(3): 520-524. (in Chinese ZHANG Yongbo, FU Huimin, WANG Zhihua. Method for reliability analysis on constant-stress zero-failure accelerated life test[J]. Journal of Aerospace Power, 2013, 28(3): 520-524. (in Chinese)
[7]	徐东,徐永成,陈循,等. 滚动轴承加速寿命试验技术研究[J]. 国防科技大学学报,2010,32(6): 122-129. XU Dong,XU Yongcheng,CHEN Xun,et al. Research on accelerated life test for rolling element bearings[J]. Journal of National University of Defense Technology,2010,32(6): 122-129. (in Chinese doi: 10.3969/j.issn.1001-2486.2010.06.022 XU Dong, XU Yongcheng, CHEN Xun, et al. Research on accelerated life test for rolling element bearings[J]. Journal of National University of Defense Technology, 2010, 32(6): 122-129. (in Chinese) doi: 10.3969/j.issn.1001-2486.2010.06.022
[8]	王坚永,庄中华,吴秀鸾,等. 滚动轴承可靠性加速寿命试验研究[J]. 轴承,1996(9): 23-28,45. WANG Jianyong,ZHUANG Zhonghua,WU Xiuluan,et al. Experimental study on reliability accelerated life of rolling bearing[J]. Bearing,1996(9): 23-28,45. (in Chinese WANG Jianyong, ZHUANG Zhonghua, WU Xiuluan, et al. Experimental study on reliability accelerated life of rolling bearing[J]. Bearing, 1996(9): 23-28, 45. (in Chinese)
[9]	殷凤龙. 基于加速寿命试验的滚动轴承寿命预测研究[D]. 长沙: 国防科学技术大学,2012. YIN Fenglong. Research on life prediction for rolling bearing based on accelerated life testing[D]. Changsha: National University of Defense Technology,2012. (in Chinese YIN Fenglong. Research on life prediction for rolling bearing based on accelerated life testing[D]. Changsha: National University of Defense Technology, 2012. (in Chinese)
[10]	张石平,王智明,杨建国. 腐蚀应力加速寿命试验条件下滚动轴承的可靠性评估[J]. 计算机集成制造系统,2015,21(8): 2132-2137. ZHANG Shiping,WANG Zhiming,YANG Jianguo. Reliability assessment for rolling bearings using accelerated life testing under corrosion stress conditions[J]. Computer Integrated Manufacturing Systems,2015,21(8): 2132-2137. (in Chinese ZHANG Shiping, WANG Zhiming, YANG Jianguo. Reliability assessment for rolling bearings using accelerated life testing under corrosion stress conditions[J]. Computer Integrated Manufacturing Systems, 2015, 21(8): 2132-2137. (in Chinese)
[11]	赵慧. 固体润滑滚动轴承加速寿命试验方法研究[D]. 重庆: 重庆大学,2013. ZHAO Hui. Study on accelerated life test method of solid lubricated rolling bearing[D]. Chongqing: Chongqing University,2013. (in Chinese ZHAO Hui. Study on accelerated life test method of solid lubricated rolling bearing[D]. Chongqing: Chongqing University, 2013. (in Chinese)
[12]	董汉杰,陈捷,洪荣晶,等. 转盘轴承满载加速寿命试验及评判指标研究[J]. 轴承,2017(2): 37-41. DONG Hanjie,CHEN Jie,HONG Rongjing,et al. Research on full load accelerated life test and evaluation index of slewing bearings[J]. Bearing,2017(2): 37-41. (in Chinese DONG Hanjie, CHEN Jie, HONG Rongjing, et al. Research on full load accelerated life test and evaluation index of slewing bearings[J]. Bearing, 2017(2): 37-41. (in Chinese)
[13]	雷亚国,韩天宇,王彪,等. XJTU-SY滚动轴承加速寿命试验数据集解读[J]. 机械工程学报,2019,55(16): 1-6. LEI Yaguo,HAN Tianyu,WANG Biao,et al. XJTU-SY rolling element bearing accelerated life test datasets: a tutorial[J]. Journal of Mechanical Engineering,2019,55(16): 1-6. (in Chinese doi: 10.3901/JME.2019.16.001 LEI Yaguo, HAN Tianyu, WANG Biao, et al. XJTU-SY rolling element bearing accelerated life test datasets: a tutorial[J]. Journal of Mechanical Engineering, 2019, 55(16): 1-6. (in Chinese) doi: 10.3901/JME.2019.16.001
[14]	董炳武,牛荣军,徐曼君,等. 高频轻载自润滑关节轴承加速寿命试验方法[J]. 轴承,2021(3): 21-25. DONG Bingwu,NIU Rongjun,XU Manjun,et al. Test method for accelerated life of high-frequency light-load self-lubricating spherical plain bearings[J]. Bearing,2021(3): 21-25. (in Chinese DONG Bingwu, NIU Rongjun, XU Manjun, et al. Test method for accelerated life of high-frequency light-load self-lubricating spherical plain bearings[J]. Bearing, 2021(3): 21-25. (in Chinese)
[15]	张跃明,冀永虎,纪姝婷,等. RV减速器的寿命计算与加速寿命试验[J]. 机械设计与制造,2020(8): 270-274. ZHANG Yueming,JI Yonghu,JI Shuting,et al. Life calculation and accelerated life test of RV reducer[J]. Machinery Design & Manufacture,2020(8): 270-274. (in Chinese doi: 10.3969/j.issn.1001-3997.2020.08.064 ZHANG Yueming, JI Yonghu, JI Shuting, et al. Life calculation and accelerated life test of RV reducer[J]. Machinery Design & Manufacture, 2020(8): 270-274. (in Chinese) doi: 10.3969/j.issn.1001-3997.2020.08.064
[16]	ZHANG Xiangpo,SHANG Jianzhong,CHEN Xun,et al. Statistical inference of accelerated life testing with dependent competing failures based on copula theory[J]. IEEE Transactions on Reliability,2014,63(3): 764-780. doi: 10.1109/TR.2014.2314598
[17]	YANG Guangbin. Accelerated life tests at higher usage rates[J]. IEEE Transactions on Reliability,2005,54(1): 53-57. doi: 10.1109/TR.2004.841730
[18]	WANG Liqin,LI Yunfeng. Boundary for aviation bearing accelerated life test based on quasi-dynamic analysis[J]. Tribology International,2017,116: 414-421. doi: 10.1016/j.triboint.2017.06.014
[19]	NAM J S,KIM H E,KIM K U. A new accelerated zero-failure test model for rolling bearings under elevated temperature conditions[J]. Journal of Mechanical Science and Technology,2013,27(6): 1801-1807. doi: 10.1007/s12206-013-0431-1
[20]	US Department of Defense. Composite materials handbook,volume 3 polymer matrix composites materials us-age,design,and analysis: 978-1-4686-0635-5[S]. US: SAE,2012: 83-121.
[21]	傅惠民. 不完全数据秩分布理论[J]. 航空学报,1993,14(11): 578-584. FU Huimin. Theory of incomplete data rank distributions[J]. Acta Aeronautica et Astronautica Sinica,1993,14(11): 578-584. (in Chinese doi: 10.3321/j.issn:1000-6893.1993.11.003 FU Huimin. Theory of incomplete data rank distributions[J]. Acta Aeronautica et Astronautica Sinica, 1993, 14(11): 578-584. (in Chinese) doi: 10.3321/j.issn:1000-6893.1993.11.003
[22]	傅惠民. 区间统计量及其分布[J]. 机械强度,2005,27(6): 752-757. FU Huimin. Interval statistic and its distribution[J]. Journal of Mechanical Strength,2005,27(6): 752-757. (in Chinese doi: 10.3321/j.issn:1001-9669.2005.06.008 FU Huimin. Interval statistic and its distribution[J]. Journal of Mechanical Strength, 2005, 27(6): 752-757. (in Chinese) doi: 10.3321/j.issn:1001-9669.2005.06.008
[23]	杨晓蔚. 滚动轴承的可靠性设计[J]. 轴承,2013(12): 1-5. YANG Xiaowei. Reliability design of rolling bearings[J]. Bearing,2013(12): 1-5. (in Chinese doi: 10.3969/j.issn.1000-3762.2013.12.001 YANG Xiaowei. Reliability design of rolling bearings[J]. Bearing, 2013(12): 1-5. (in Chinese) doi: 10.3969/j.issn.1000-3762.2013.12.001
[24]	李军星,张勇波,傅惠民,等. 离子推力器极少数据可靠性评估方法[J]. 航空动力学报,2015,30(10): 2352-2356. LI Junxing,ZHANG Yongbo,FU Huimin,et al. Reliability evaluation method of ion thruster with very few failure data[J]. Journal of Aerospace Power,2015,30(10): 2352-2356. (in Chinese LI Junxing, ZHANG Yongbo, FU Huimin, et al. Reliability evaluation method of ion thruster with very few failure data[J]. Journal of Aerospace Power, 2015, 30(10): 2352-2356. (in Chinese)