# Reliability Analysis of Rail Fastening System When a Heavy Haul Locomotive Passing Through a Small Radius Curve

• Xuancheng Yuan
• Jianzheng Jiang
• Shengyang Zhu
• Wanming Zhai
• Huibin Lou
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

## Abstract

In this work, a stochastic dynamics model is proposed to achieve the reliability assessment of the rail fastening system when a heavy haul locomotive passing through a small radius curve. The stochastic dynamics model consists of a locomotive model and a track model, in which the rail fastening system is modeled in detail. Under the assumed extreme condition, the two-point contact wheel/rail forces of the locomotive during passing the curve are obtained through the locomotive model, and then are exported to the track model to compute the screw spike pullout force of the rail fastening system. The vertical and lateral stiffness of the rail fastening system and the friction coefficient between gauge apron bearing and sleeper shoulder are selected as random variables, which are assumed to obey the Gaussian distribution. To perform the reliability analysis, totally 100 combinations of the random variables are generated by the Number Theoretical Method (NTM). The Probability Density Evolution Method (PDEM) is adopted to compute the probability density functions as well as the failure probability of the rail fastening system. The result indicates that the rail fastening systems on the transition curve are generally reliable while some of those on the curve section have a certain risk of the screw spike being pulled out. The rail fastening system located between the transition curve and the curve section is more liable to fail than the others, and the maximum failure probability is about 4.2%.

## Keywords

Stochastic dynamics model Rail fastening system Number Theoretical Method Probability Density Evolution Method Reliability

## Notes

### Acknowledgement

This work was supported by the National Natural Science Foundation of China [grant Nos. 51735012, 11790283] and the Program of Introducing Talents of Discipline to Universities (111 Project) [grant No. B16041].

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## Authors and Affiliations

• Xuancheng Yuan
• 1
Email author
• Jianzheng Jiang
• 2
• Shengyang Zhu
• 1
• Wanming Zhai
• 1
• Huibin Lou
• 1
• 3
1. 1.State Key Laboratory of Traction PowerSouthwest Jiaotong UniversityChengduChina
2. 2.China Railway Eryuan Engineering Group Co., Ltd.ChengduChina
3. 3.China Railway Siyuan Survey and Design Group Co., Ltd.WuhanChina