Reliability analysis for gear pairs with correlated failure modes using first-order fourth-moment method

doi:10.13465/j.cnki.jvs.2020.07.003

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	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
刊名	Zhendong yu Chongji/Journal of Vibration and Shock
	2020-04-15
卷号	39 期号:7 页码:14-20
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
ISSN号	10003835
DOI	10.13465/j.cnki.jvs.2020.07.003
英文摘要	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.
语种	中文
出版者	Chinese Vibration Engineering Society
内容类型	期刊论文
源URL	[http://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
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.