0
Friction & Wear

# Stochastic Analysis of the Wheel-Rail Contact Friction Using the Polynomial Chaos Theory

[+] Author and Article Information
HyunWook Lee, Corina Sandu, Carvel Holton

Railway Technologies Laboratory,  Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Tribol 134(3), 031601 (Jun 27, 2012) (11 pages) doi:10.1115/1.4004877 History: Received July 01, 2010; Revised July 25, 2011; Published June 26, 2012; Online June 27, 2012

## Abstract

The coefficient of friction (CoF) is a very important factor for designing, operating, and maintaining the wheel-rail system. In the real world, accurate estimation of the CoF at the wheel-rail interface is difficult due to the effects of various uncertain parameters, e.g., wheel and rail materials, rail roughness, contact patch size, and so on. In this study, a stochastic analysis using polynomial chaos (poly-chaos) theory is performed with the newly developed 3D dry CoF model at the wheel-rail contact. The wheel-rail system is modeled as a mass-spring-damper system. Stochastic analyses with one uncertainty, combinations of two uncertainties, and a combination of three uncertainties are performed. The probability density function (PDF) results for stick CoF, slip CoF, and combined (total) CoF are presented. The stochastic analysis results show that the total CoF PDF before 1 s is dominantly affected by the stick phenomenon, whereas the slip dominantly influences the total CoF PDF after 1 s. The CoF PDFs obtained from simulations with combinations of two and three uncertain parameters have wider PDF ranges than those obtained for only one uncertain parameter. The current work demonstrates that the CoF is strongly affected by the stochastic variation of dynamic parameters. Thus, the PDF distribution of the CoF could play a very important role in the design of the wheel-rail system.

<>

## Figures

Figure 1

A mass-spring-damper model for right wheel-rail interaction with body mass: (a) vertical and lateral motion and (b) yaw rotation

Figure 2

Creep force and moment

Figure 3

CoF PDF of the uncertain MARR: (a) stick CoF PDF, (b) slip CoF PDF, and (c) total CoF PDF

Figure 4

CoF PDF of the uncertain sleeper distance: (a) total CoF PDF and (b) zoom in from 2.3 to 2.5 s of total CoF PDF

Figure 5

Total CoF PDF of the uncertain lateral wheel displacement

Figure 6

Total CoF PDF of the uncertain MARR and lateral wheel displacement

Figure 7

Total CoF PDF of the uncertain a and b

Figure 8

CoF PDF of the uncertain a, b, and lateral wheel displacement: (a) stick CoF PDF, (b) slip CoF PDF, and (c) total CoF PDF

## Errata

Some tools below are only available to our subscribers or users with an online account.

### Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related Proceedings Articles
Related eBook Content
Topic Collections