二元Wiener过程下的小样本电主轴可靠性分析

王明磊; 原大宁; 刘宏昭

doi:10.13433/j.cnki.1003-8728.2017.0220

二元Wiener过程下的小样本电主轴可靠性分析

doi: 10.13433/j.cnki.1003-8728.2017.0220

1.
西安理工大学, 机械与精密仪器工程学院, 西安 710048

基金项目:

国家科技重大专项计划项目（2010ZX04014-012）与国家自然科学基金项目（51275404）资助

详细信息

作者简介:
王明磊(1988-),硕士研究生,研究方向为机电系统测试与智能控制系统,549192031@qq.com

通讯作者:
原大宁(联系人),教授,daningyuan@163.com

计量
- 文章访问数: 161
- HTML全文浏览量: 18
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2015-06-05
- 刊出日期: 2017-02-05

Reliability Analysis of Motorized Spindle with Small Sample based on Two-dimensional Wiener Process

1.
The Faculty of Mechanical and Precision Instrumental Engineering, Xi'an University of Technology, Xi'an 710048, China

摘要

摘要: 针对高速电主轴产品的退化过程具有多个退化特征量，以及退化过程平稳、缓慢的特点，采用二元Wiener过程对其进行可靠性建模，并将二元Wiener过程的漂移参数看作随机变量来体现电主轴的个体差异性。利用极大似然法结合虚拟增广样本法和Bootstrap法来估计模型中的未知参数，以解决被试电主轴的小样本问题，得到电主轴产品寿命的可靠度函数。最后，通过对2根磨削电主轴产品的退化数据进行比较分析，验证了所提方法的合理性与精确性。
- 电主轴 /
- 多元Wiener过程 /
- 极大似然估计 /
- 可靠性分析
Abstract: In consideration of the characteristics of high speed motorized spindle product degradation process such as having multiple degradation characteristic variables, and the degradation process being smooth and slow, the two-dimensional Wiener process model was established, in which some unknown parameters were viewed as random variables followed the normal distribution; while the maximum likelihood method combined with virtual augmented samples method and the Bootstrap method which were proposed to solve the problem of small sample were used to estimate the unknown parameters. Then, the resulting product life, the life distribution function and probability density function of reliability function were obtained. Finally, the rationality and accuracy of the method proposed was verified by analyzing the degradation data of two grinding motorized spindles.
- motorized spindle /
- multiple Wiener process /
- maximum likelihood estimation /
- reliability analysis

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参考文献(17)

[1]	汤腾,党新安,杨志伟.高速电主轴系统的极小子样试验评估方法研究[J].广西大学学报(自然科学版),2012,37(2):297-301 Tang T, Dang X A, Yang Z W. The study on the extreme small-scale sample test evaluation method of high-speed motorized spindle system[J]. Journal of Guangxi University (Natural Science Edition), 2012,37(2):297-301 (in Chinese)
[2]	蒋喜,刘宏昭,刘丽兰,等.基于伪寿命分布的电主轴极小子样可靠性研究[J].振动与冲击,2013,32(19):80-85 Jiang X, Liu H Z, Liu L L, et al. Extremely small-scale sample's reliability of an electric spindle based on distribution of false lifetime[J]. Journal of Vibration and Shock, 2013,32(19):80-85 (in Chinese)
[3]	訾佼佼,刘宏昭,蒋喜,等.基于退化量分布的电主轴可靠性评估[J].中国机械工程,2014,25(6):807-812 Zi J J, Liu H Z, Jiang X, et al. Reliability assessment of electric spindle based on degradation values distribution[J]. China Mechanical Engineering, 2014,25(6):807-812 (in Chinese)
[4]	Baussaron J, Mihaela B, Léo G R, et al. Reliability assessment based on degradation measurements:how to compare some models?[J]. Reliability Engineering & System Safety, 2014,131:236-241
[5]	Ye Z S, Wang Y, Tsui K L, et al. Degradation data analysis using wiener processes with measurement errors[J]. IEEE Transactions on Reliability, 2013,62(4):772-780
[6]	朱德馨,刘宏昭.随机性能退化下极小样本高速列车轴承的可靠性评估[J].机械科学与技术,2013,32(10):1499-1504 Zhu D X, Liu H Z. Reliability evaluation of high-speed train bearing based on stochastic performance deterioration with minimum sample[J]. Mechanical Science and Technology for Aerospace Engineering, 2013,32(10):1499-1504 (in Chinese)
[7]	Sacerdote L, Tamborrino M, Zucca C. First passage times of two-dimensional correlated diffusion processes:analytical and numerical methods[J]. arXiv preprint arXiv:1212.5287, 2012
[8]	彭宝华.基于Wiener过程的可靠性建模方法研究[D].长沙:国防科学技术大学,2010 Peng B H. Research on reliability modeling methods based on wiener process[D]. Changsha:National University of Defense Technology, 2010 (in Chinese)
[9]	魏星.基于产品性能退化数据的可靠性分析及应用研究[D].南京:南京理工大学,2008 Wei X. Reliability analysis and applied research based on the product performance degradation data[D]. Nanjing:Nanjing University of Science and Technology, 2008 (in Chinese)
[10]	胡锦涛,胡昌华,陈亮,等.基于多元退化量的可靠性评估方法研究[J].控制工程,2007,14(S1):77-79,92 Hu J T, Hu C H, Chen L, et al. Study on reliability evaluation approach based on multivariate degradation measures[J]. Control Engineering of China, 2007,14(S1):77-79,92 (in Chinese)
[11]	Wang X, Xu D H. An inverse Gaussian process model for degradation data[J]. Technometrics, 2010,52(2):188-197
[12]	Ye Z S, Chen N. The inverse Gaussian process as a degradation model[J]. Technometrics, 2014,56(3):302-311
[13]	冯蕴雯,黄玮,吕震宙,等.极小子样试验的半经验评估方法[J].航空学报,2004,25(5):456-459 Feng Y W, Huang W, Lü Z Z, et al. The semiempirical evaluation method for extreme small sample test[J]. Acta Aeronautica et Astronautica Sinica, 2004,25(5):456-459 (in Chinese)
[14]	方亚.机械产品可靠性评估方法研究[D].西安:西北工业大学,2007 Fang Y.Research of mechanical product reliability evaluation method[D]. Northwest Polytechnical University, 2007
[15]	黄玮,冯蕴雯,吕震宙.极小子样试验的虚拟增广样本评估方法[J].西北工业大学学报,2005,23(3):384-387 Huang W, Feng Y W, Lü Z Z. Virtually expanded sample estimation method for extremely small-scale sample test[J]. Journal of Northwestern Polytechnical University, 2005,23(3):384-387 (in Chinese)
[16]	Johnson R W. An introduction to the bootstrap[J]. Teaching Statistics, 2001,23(2):49-54
[17]	Efron B, Tibshirani R J. An introduction to the bootstrap[M]. New York:Chapman and Hall, 1994