Reliability analysis for gear pairs with correlated failure modes using first-order fourth-moment method
Wei, Xingchun; Wang, Zhiming; Guo, Junfeng; Zhang, Yafei; Song, Yalong
2020-04-15
发表期刊Zhendong yu Chongji/Journal of Vibration and Shock
ISSN10003835
卷号39期号:7页码:14-20
摘要Gears pair is one of key components of mechanical transmission. To analyze its reliability, based on the improved checking point first-order second-moment (IFOSM) reliability method, Taylor series expansion and Hermite polynomial approximation were used to derive gear performance function's checking point first-order fourth-moment (FOFM) method, analyze gear transmission reliability with two major correlated failure modes of tooth root fracture and tooth surface corrosion, and give two modes' correlation coefficient and gear reliability. On the other hand, due to many factors affecting gear failure, when either IFOSM reliability method or FOFM reliability one was used to estimate gear reliability, the computation amount was large and they were easy to make mistakes. Aiming at this problem, a classified variation difference coefficient checking point first-order fourth-moment reliability analysis method was proposed. This method was used to classify and integrate gear performance function's basic random variables, significantly reduce design variables and computation amount, and solve the difficult problem mentioned above. Finally,the proposed method was used to estimate the reliability of a transmission gear pair in a certain lathe spindle box. The results showed that there is a certain correlation between tooth root bending fatigue strength and tooth surface contact fatigue strength of the gear pair; the proposed FOFM method can further improve estimation accuracy due to its containing higher order statistical information of skewness and kurtosis. © 2020, Editorial Office of Journal of Vibration and Shock. All right reserved.
关键词Bending strength Corrosion Failure (mechanical) Fatigue of materials Gear teeth Higher order statistics Method of moments Polynomial approximation Robustness (control systems) Transmissions Underground structures Correlated failure modes Correlation coefficient Difference coefficients First order second moment Mechanical transmission Reliability analysis method Statistical information Taylor series expansions
DOI10.13465/j.cnki.jvs.2020.07.003
收录类别EI
语种中文
出版者Chinese Vibration Engineering Society
EI入藏号20202308796283
EI主题词Reliability analysis
EI分类号408.1 Structural Design, General - 601.2 Machine Components - 602.2 Mechanical Transmissions - 731.1 Control Systems - 921 Mathematics - 921.6 Numerical Methods - 922.2 Mathematical Statistics - 951 Materials Science
来源库Compendex
分类代码408.1 Structural Design, General - 601.2 Machine Components - 602.2 Mechanical Transmissions - 731.1 Control Systems - 921 Mathematics - 921.6 Numerical Methods - 922.2 Mathematical Statistics - 951 Materials Science
引用统计
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/115013
专题机电工程学院
作者单位School of Mechanical and Electronic Engineering, Lanzhou University of Technology, Lanzhou; 730050, China
第一作者单位兰州理工大学
第一作者的第一单位兰州理工大学
推荐引用方式
GB/T 7714
Wei, Xingchun,Wang, Zhiming,Guo, Junfeng,et al. Reliability analysis for gear pairs with correlated failure modes using first-order fourth-moment method[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2020,39(7):14-20.
APA Wei, Xingchun,Wang, Zhiming,Guo, Junfeng,Zhang, Yafei,&Song, Yalong.(2020).Reliability analysis for gear pairs with correlated failure modes using first-order fourth-moment method.Zhendong yu Chongji/Journal of Vibration and Shock,39(7),14-20.
MLA Wei, Xingchun,et al."Reliability analysis for gear pairs with correlated failure modes using first-order fourth-moment method".Zhendong yu Chongji/Journal of Vibration and Shock 39.7(2020):14-20.
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