Apporoximation of contact geometry in the dynamical simulation of wheel-rail

Maik Arnold and H. Netter

Mathematical and Computer Modelling of Dynamical Systems, 1998, vol. 4, issue 2, 162-184

Abstract: Models for the geometrical contact of wheel and rail are a basic component of multibody system (MBS) models for wheel-rail systems. Approximations are used to get sufficiently differentiable contact conditions that can be evaluated efficiently. We discuss an approximation that is essentially based on polynomial 2D-tensorproduct splines and minimizes a functional that combines a weighted least squares approximation of a rigid contact model with a smoothing term. An efficient algorithm to compute the tensorproduct spline is developed, the parallelization on a cluster of workstations is discussed. We report on results of both the sequential and the parallel algorithm and give simulation results for a rigid wheelset on a straight track.

Date: 1998
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DOI: 10.1080/13873959808837075

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