Assessment of a semi-Hertzian method for determination of wheel–rail contact patch

Symmetric/asymmetric bifurcation behaviours of a bogie system

“…Kik [21] approximates the non-elliptic contact patch by a discrete extension of the Hertz contact theory. Similar models have been developed by Ayasse et al [22] and Quost et al [23].…”

“…f 11 , , f 22 , f 23 and f 33 are the longitudinal, lateral, lateral/spin and spin creep coefficients that depend on the wheel-rail contact geometry.…”

Semi-Hertzian Theory and its Application in Wheel Wear Calculation

“…The J.J.Kalker [2] established the three dimensional non-Hertzian contact theory and its program Contact. In 2006 AYASSE .etc [3,4] put forward an algorithm called Semi-Hertzian theory in order to solve the contact problems when the lateral curvature of the contact object is not constant. For the tangential problem, there are also several practical models such as Carter [5] two dimensional rolling contact theory, Vermeulen-Johnson [6] non-spin three dimensional rolling contact model；Kalker [7] linear theory and Kalker [8] simplified theory.…”

An alternative to FASTSIM for tangential solution of the wheel-rail contact

“…It enables to handle multiple contacts. It can also predict non-elliptical contact patches and has proved to give results very similar to FEM ones in non-Hertzian conditions (Quost et al 2006). The SH method is implemented in the MBS research software VOCO, developed by IFSTTAR (formerly INRETS) and is about 3 times slower than the Hertzian methods usually used in MBS (Chollet et al 2013).…”