A P–S–N curve fitting method based on mixed Weibull distribution and expectation-maximization algorithm

doi:10.1016/j.ijpvp.2024.105158

IR > 机电工程学院

	A P–S–N curve fitting method based on mixed Weibull distribution and expectation-maximization algorithm
	Liu, Jianhui1 ; Liu, Xianyu 1; Hua, Feilong 2; Pan, Xuemei 1; Feng, Ruicheng1 ; Wen, Jianfeng 2
	2024-06
发表期刊	International Journal of Pressure Vessels and Piping
ISSN	0308-0161
卷号	209
摘要	In practical engineering, there are many factors affecting the fatigue life of actual components, and a single Weibull distribution is insufficient to accurately describe the impact of various factors on fatigue life. In order to solve the above problems, 316L stainless steel is taken as the experimental object to study the effects of phase difference and stress levels on fatigue life based on the mixed Weibull distribution model. Firstly, the mixed Weibull distribution model is converted into the mixed extreme value distribution model, and used Euler's constant to calculate relevant parameters of extreme value distribution and Expectation-Maximization (EM) algorithm to determine the probability density function of the mixed Weibull distribution. Secondly, the probability density function is integrated to obtain the distribution function and the fatigue life under different failure probabilities is calculated. Finally, the influence of non-proportional additional reinforcement and stress amplitude on fatigue life is studied by taking them as hidden variables of mixed Weibull distribution, which is used to obtain P-S-N curves for various failure probabilities. Through the proposed method, the influence of different factors on fatigue life can be considered from the perspective of statistics, and the accuracy of fatigue life prediction can be promoted. © 2024 Elsevier Ltd
关键词	Curve fitting Distribution functions Failure (mechanical) Fatigue of materials Image segmentation Maximum principle Probability density function Curve fitting methods Distribution models Expectations maximization algorithms Extreme value distributions Failure Probability Fatigue life prediction Mixed Weibull distribution P-S-N curves Practical engineering Small samples
DOI	10.1016/j.ijpvp.2024.105158
收录类别	EI
语种	英语
出版者	Elsevier Ltd
EI入藏号	20241315828853
EI主题词	Weibull distribution
EI分类号	921.6 Numerical Methods ; 922.1 Probability Theory ; 922.2 Mathematical Statistics ; 951 Materials Science
原始文献类型	Journal article (JA)
引用统计	无
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/170290
专题	机电工程学院
通讯作者	Hua, Feilong; Pan, Xuemei
作者单位	1.School of Mechanical & Electrical Engineering, Lanzhou University of Technology, Lanzhou; 730050, China; 2.School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai; 200237, China
第一作者单位	兰州理工大学
通讯作者单位	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	Liu, Jianhui,Liu, Xianyu,Hua, Feilong,et al. A P–S–N curve fitting method based on mixed Weibull distribution and expectation-maximization algorithm[J]. International Journal of Pressure Vessels and Piping,2024,209.
APA	Liu, Jianhui,Liu, Xianyu,Hua, Feilong,Pan, Xuemei,Feng, Ruicheng,&Wen, Jianfeng.(2024).A P–S–N curve fitting method based on mixed Weibull distribution and expectation-maximization algorithm.International Journal of Pressure Vessels and Piping,209.
MLA	Liu, Jianhui,et al."A P–S–N curve fitting method based on mixed Weibull distribution and expectation-maximization algorithm".International Journal of Pressure Vessels and Piping 209(2024).