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

被引:0
|
作者
Wei X. [1 ]
Wang Z. [1 ]
Guo J. [1 ]
Zhang Y. [1 ]
Song Y. [1 ]
机构
[1] School of Mechanical and Electronic Engineering, Lanzhou University of Technology, Lanzhou
来源
Wang, Zhiming | 1600年 / Chinese Vibration Engineering Society卷 / 39期
关键词
Checking point; Classified variation difference coefficient; Correlated failure mode; First-order four-moment (FOFM); Gear reliability;
D O I
10.13465/j.cnki.jvs.2020.07.003
中图分类号
学科分类号
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.
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页码:14 / 20
页数:6
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