Finite Element Methods for Rolling Contact
This contribution is concerned with finite-element-formulation of rolling contact problems. For this, first the theoretical background of continuum mechanics and contact kinematics is given for steady and non-steady rolling processes. This includes remark
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Series Editors: The Rectors of CISM Sandor Kaliszky - Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM Giovanni Bianchi - Milan Executive Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 411
ROLLING CONTACT PHENOMENA
EDITED B,Y BOJACOBSON LUND UNIVERSITY JOOST J. KALKER DELFT UNIVERSITY OF TECHNOLOGY
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Springer-Verlag Wien GmbH
This volume contains 259 illustrations
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whether the whole or part of the material is concerned specifically those of translation, reprinting. re-use of illustrations. broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2000 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 2000 SPIN 10789509
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This methnd unfortunately has its typographical limitations but it is hoped that they in nn way distract the reader.
ISBN 978-3-211-83332-2 DOI 10.1007/978-3-7091-2782-7
ISBN 978-3-7091-2782-7 (eBook)
PREFACE
The contact mechanical study of rolling with creep started in 1926 when Carter published the exact solution in the 2D case. In 1958 this was followed by Johnson's studies on rolling with creep and spin in the 3D case. This study was approximate, which was the reason for Kalker's preoccupation with the problem. He succeeded in solving the problem numerically. Whereas Kalker's studies were virtually confined to the half-space geometry, Wriggers turned his attention to the FEM, in which much more general types of geometry could be treated, at the same time as non-linear deformations also could be studied. Whereas the above studies were based on elasticity, Johnson and his pupils turned their attention towards plastic deformation contact problems, where permanent deformation of the material remained when the loading was removed. Such plastic deformations, in the form of contact surface corrugations, were later studied by Knothe. The phenomenon of corrugation is fascinating and the formation of quasiperiodic irregularities on contacting swfaces has important applications both for rail bound traffic and for normal roads. The corrugations influence the ground contact force variations and thereby the vibrations and noise generation. For railway and road traffic the vibrations generated in the rolling contacts are one of the major reasons for the high level of disturbing noise transmitted to the surroundings. Stanworth studied some of these problems, especially the
