基于贝叶斯方法与稳健理论的滚动轴承摩擦力矩不确定度建立方法

徐永智

doi:10.13224/j.cnki.jasp.20210249

基于贝叶斯方法与稳健理论的滚动轴承摩擦力矩不确定度建立方法

doi: 10.13224/j.cnki.jasp.20210249

徐永智

河南科技大学应用工程学院，河南三门峡 472000;三门峡职业技术学院汽车学院，河南三门峡 472000

基金项目: 校企合作项目（SZYhxkt-2021-002）；博士专项基金（SZYGCCRC-2021-007）

详细信息

作者简介:
徐永智（1974-），男，副教授，博士，主要从事滚动轴承性能研究。E-mail：xxyyzhzh@163.com

中图分类号: V21;TH133.33
计量
- 文章访问数: 61
- HTML浏览量: 4
- PDF量: 65
- 被引次数: 0
出版历程
- 收稿日期: 2021-05-18
- 刊出日期: 2022-05-28

Uncertainties establishment method of friction moment on rolling bearing based on Bayesian theory and robust theory

XU Yongzhi

College of Applied Engineering，Henan University of Science and Technology，Sanmenxia Henan 472000，China;Automotive College，Sanmenxia Polytechnic，Sanmenxia Henan 472000，China

摘要

摘要: 基于贝叶斯方法与稳健化理论，提出一种未知分布时间序列不确定度的建立方法。该方法以中位数估计与Huber M估计融合方法分析时间序列数据的稳健性，构建贝叶斯先验分布，并与实验数据建立贝叶斯后验分布，创建以贝叶斯后验分布建立时间序列数据的不确定度。在显著性水平为0~0.1，通过对滚动轴承摩擦力矩分析，中位数估计与Huber M估计相融合方法确定了滚动轴承摩擦力矩稳健数据的边界值、显著性水平，构建了贝叶斯先验分布。以贝叶斯后验分布构建滚动轴承摩擦力矩不确定度。与经典统计学得到的不确定度比较，在相同置信水平下，该方法缩短了评估区间，提高了评估精度0~50%。该融合方法以稳健数据构建先验分布，提供一种贝叶斯方法先验分布建立方法；采用中位数估计与Huber M估计融合方法确定了数据显著性水平和边界值的确定，减小置信水平与稳健数据边界值主观确定的误差；为未知分布时间序列的不确定度建立提供了一种理论。
- 贝叶斯方法 /
- 稳健理论 /
- 滚动轴承 /
- 摩擦力矩 /
- 不确定度
Abstract: A method on basis of Bayesian theory and robust theory was proposed to solve uncertainties of time series data on unknown distribution.The method combining with median and Huber M estimate was used to analyze robust property of time series data and establish prior distribution on Bayesian theory.Uncertainties were established by inferring from prior distribution and distribution function on time series data.At the significance level 0—0.1 range，for studies of friction torque of rolling bearing，the method determined boundaries value and confidence level of friction torque，and established prior distribution on Bayesian theory.Compared with classic statistics，the method distinctly increased evaluation accuracy 0—50% under the same confidence level.Application significance of the method lied in taking robust data to establish prior distribution，and provide a establishment method of prior distribution on Bayesian theory；adopting the median and Huber M estimate method to determine confidence level and boundary value could reduce errors of subjective factors，and provide a theory to establish uncertainties on unknown distribution.
- Bayesian theory /
- robust theory /
- rolling bearings /
- friction torque /
- uncertainties

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参考文献(42)

[1]	IKER H,JOSU A,MIKEL A.Friction torque in four contact point slewing bearings:effect of manufacturing errors and ring stiffness[J].Mechanism and Machine Theory,2017,112:145-154.
[2]	JING Liu,YANG Zhanglin,SHAO Yimin.An investigation for the friction torque of a needle roller bearing with the roundness error[J].Mechanism and Machine Theory，2018,121：259-272.
[3]	GON?ALVES D,PINHO S,GRA?A B,et al.Friction torque in thrust ball bearings lubricated with polymer greases of different thickener content[J].Tribology International,2016,96（4）：87-96.
[4]	GON?ALVES D,COUSSEAU T,GAMA A,et al.Friction torque in thrust roller bearings lubricated with greases,their base oils and bleed-oils[J].Tribology International，2017,107（12）：306-319.
[5]	HAMMAMI M,MARTINS R,FERNANDES C,et al.Friction torque in rolling bearings lubricated with axle gear oils[J].Tribology International，2018,119（3）：419-435.
[6]	YANG Weixu,WANG Xiaoli,LI Hanqing,et al.A novel tribometer for the measurement of friction torque in microball bearings[J].Tribology International,2017,114（10）:402-408.
[7]	GAN K G,ZAITOV L M.Investigation into the dependence of the friction moment of high speed self lubrication ball bearing on the duration of the work rotational and load[J].Soviet Engineering Research,1990,10（2）:41-46.
[8]	白越，杨作起，黎海文，等.储能/姿控一体化飞轮能耗实验研究[J].光学精密工程，2007,15（2）:243-247.
[9]	SOCHTING S,SHERRINGTON I,LEWIS S D,et al.An evaluation of the effect of simulated launch vibration on the friction performance and lubricatiuon of ball bearing for space applications[J].Wear,2006,260（11/12）:1190-1202.
[10]	VISNADI L B，DE CASTRO H F.Influence of bearing clearance and oil temperature uncertainties on the stability threshold of cylindrical journal bearings[J].Mechanism and Machine Theory,2019,134:57-73.
[11]	MAO Wengui,LI Jianhua,HUANG Zhonghua,et al.Bearing dynamic parameters identification for a sliding bearing-rotor system with uncertainty[J].Inverse Problems in Science and Engineering,2018,26（8）：1094-1108.
[12]	DHANISH P B,MATHEW J.Effect of CMM point coordinate uncertainty on uncertainties in determination of circular features[J].Measurement,2006,39（6）：522-531.
[13]	WILLINK R,LIRA I.A united interpretation of different uncertainty intervals[J].Measurement,2005,38（1）：61-66.
[14]	RATEL G.Evaluation of the uncertainty of the degree of evquivalence[J].Metrologia,2005,42：140-144.
[15]	CORDERO R R,ROTH P.Revisiting the problem of the evaluation of the uncertainty associated with a single measurement[J],Metrologia,2005,42：115-119.
[16]	KIAN P,DILEEP S.Uncertainty estimates in the fuzzy-product-limit estimator[J].International Journal of Uncertainty,Fuzziness and Knowledge-based System,2005,13（1）：11-26.
[17]	RARNAN R,GRILLO P.Minimizing uncertainty in vapour cloud explosion modeling[J].Process Safty and Environmental Protection,2005,83（4）:298-306.
[18]	XIA Xintao,WANG Zhongyu,GAO Yongsheng.Estimation of non-statistical uncertainty using fuzzy-set theory[J].Measurement Science and Technology,2000,11（4）:430-435.
[19]	夏新涛，贾晨辉，王中宇，等.滚动轴承摩擦力矩的乏信息模糊预报[J].航空动力学报，2009,24（2）：945-950.
[20]	夏新涛，陈晓阳，张永振，等.滚动轴承乏信息实验分析与评估[M].北京：科学技术出版社，2007.
[21]	夏新涛，陈晓阳，张永振，等.航天轴承摩擦力矩不确定度的灰自助动态评估[J].哈尔滨工业大学学报，2006，38（7）：294-297.
[22]	王中宇，夏新涛，朱坚民.非统计及其工程应用[M].北京：科学出版社，2005.
[23]	夏新涛，陈晓阳，张永振，等.航天轴承摩擦力矩的最大熵概率分布与bootstrap推断[J].宇航学报，2007，28（5）:1395-1400.
[24]	夏新涛,陈晓阳,张永振,等.滚动轴承振动的灰自助动态评估与诊断[J].航空动力学报,2007,22（1）:156-162.
[25]	夏新涛，徐永智，金银平，等，用自助加权范数法评估三参数威布尔分布可靠性最优置信区间[J].航空动力学报，2013，28（3）：481-488.
[26]	夏新涛,王中宇,孙立明,等.滚动轴承振动与噪声关系的灰色研究[J].航空动力学报,2004,19（3）:424-428.
[27]	张耀强,陈建军,邓四二,等.考虑表面波纹度的滚动轴承-转子系统非线性动力特性[J].航空动力学报,2008,23（9）:1731-1736.
[28]	苗学问,田喜明,洪杰.基于支持向量机的滚动轴承状态寿命模型[J].航空动力学报,2008,23（12）:2190-2195.
[29]	唐云冰,高德平,罗贵火.滚动轴承非线性轴承力及其对轴承系统振动特性的影响[J].航空动力学报,2006,21（2）:366-373.
[30]	VIITALA R,WIDMAIER T,HEMMING B,et al.Uncertainty analysis of phase and amplitude of harmonic components of bearing inner ring four-point roundness measurement[J].Precision Engineering,2018,54（10）：118-130.
[31]	师义民,许勇,周丙常,近代统计方法[M].北京:高等教育出版社,2011.
[32]	YU Jun,XU Yonggang,YU Guangbin,et al.Fault severity identification of roller bearings using flow graph and non-na?ve Bayesian inference[J].Mechanical Engineering Science,2019,233（14）:5161-5171.
[33]	SUN Shuang,PRZYSTUPA K,MING Wei,et al.Fast bearing fault diagnosis of rolling element using Lévy Moth-Flame optimization algorithm and Naive Bayes[J].Eksploatacja i Niezawodnosc:Maintenance and Reliability,2020,22（4）：730-740.
[34]	ZHANG Nannan,WU Lifeng,JING Yang,et al.Naive bayes bearing fault diagnosis based on enhanced independence of data[J].Sensors,2018,18（2）:1-17.
[35]	王岩,罗倩,邓辉.基于变分贝叶斯的轴承故障诊断方法[J].计算机科学,2019,46（11）:323-327.
[36]	LUO Zuolong,DONG Fenghui.Statistical investigation of bearing capacity of pile foundation based on bayesian reliability theory[EB/OL].[2021-05-02].https:∥doi.org/10.1155/2019/9858617.
[37]	ZHANG Nannan,WU Lifeng,WANG Zhonghua,et al.Bearing remaining useful life prediction based on Naive Bayes and Weibull distributions[J].Entropy，2018,20:1-19.
[38]	GAO Tianhong,LI Yuxiong,HUANG Xianzhen,et al.Data-driven method for predicting remaining useful life of bearing based on Bayesian theory[J].Sensors,2021,21（1）:182-197.
[39]	徐永智,夏新涛.用遗传变异法评估航天轴承摩擦力矩[J].轴承,2014（1）：27-31.
[40]	夏新涛,徐永智,滚动轴承性能变异的近代统计学分析[M].北京：科学出版社,2016.
[41]	夏新涛，朱坚民，吕陶梅.滚动轴承摩擦力矩乏信息推断[M].北京：科学出版社，2010.
[42]	夏新涛，章宝明，徐永智.滚动轴承性能与可靠性乏信息变异过程评估[M].北京：科学出版社，2013.