@article{ref1,
title="Non-linearity of non-steady rolling contact mechanics under the half-space assumption",
journal="Vehicle system dynamics",
year="2011",
author="Ren, L. and Xie, G. and Iwnicki, S. D.",
volume="49",
number="11",
pages="1771-1790",
abstract="This paper presents an investigation into the non-steady rolling contact mechanics within the context of railway wheel-rail contact. The focus is on the relationship between the creep force and non-steady parameters, and the purpose is to examine whether a linear system exists for these non-steady cases. The non-steady contact parameters under investigation are contact geometry, normal force, and creepage. Both the normal and tangential contact problems were solved using previously developed time-domain models based on Kalker's [Three-Dimensional Elastic Bodies in Rolling Contact, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990] numerical theory for half-space contact with prescribed, mainly sinusoidal, load histories. The resultant creep forces were then analysed with a system identification method in order to find a possible transfer function to provide linear representations of the non-steady contact behaviour. It was found that although linear models can be identified in some cases, a general, simple linear model cannot be realised in practice and the non-steady rolling contact mechanics is generally non-linear.<p />",
language="en",
issn="0042-3114",
doi="10.1080/00423114.2010.539238",
url="http://dx.doi.org/10.1080/00423114.2010.539238"
}