Nonlinear Kinematics of Wheel-Rail Contact

[+] Author and Article Information
T. D. Burton

General Electric Company, Valley Forge, Pa.

A. M. Whitman

Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pa.

J. Appl. Mech 45(3), 664-668 (Sep 01, 1978) (5 pages) doi:10.1115/1.3424378 History: Received May 01, 1977; Revised December 01, 1977; Online July 12, 2010


We derive relations which describe the nonlinear geometry of contact between a railway vehicle wheelset and rail. Geometric constraint relations are derived and expanded about the central (rest) positions. These are solved for the rolling and vertical motions, instantaneous left and right wheel rolling radii, angles between the contact and horizontal planes, and lateral and longitudinal creepages. The results are given explicitly in terms of the lateral and yawing motions for mildly noncircular wheel and rail profiles. A kinematic (pure rolling) solution is obtained for the case where the wheel profile is sufficiently noncircular to invalidate the classical linear kinematic solution.

Copyright © 1978 by ASME
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