IUTAM Symposium on Multiscale Problems in Multibody System Contacts

The investigations of multiscale problems in multibody system contacts is a most interesting and timely topic which is the subject of intensive research for more than a decade. Many questions have already been answered and the mechanically sound descripti

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IUTAM BOOKSERIES Volume 1

Aims and Scope of the Series The IUTAM Bookseries publishes the proceedings of IUTAM symposia under the auspices of the IUTAM Board.

For a list of related mechanics titles, see final pages.

IUTAM Symposium on Multiscale Problems in Multibody System Contacts Proceedings of the IUTAM Symposium held in Stuttgart, Germany, February 20–23, 2006

Edited by

PETER EBERHARD University of Stuttgart, Germany

A C.I.P. Catalogue record for this book is available from the Library of Congress.

ISBN 978-1-4020-5980-3 (HB) ISBN 978-1-4020-5981-0 (e-book) Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com

Printed on acid-free paper

All Rights Reserved © 2007 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

Contents

Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IX List of Contributors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XVII Multi-Rate Time Integration for Large Scale Multibody System Models Martin Arnold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

1

Multiscale Analysis of a Cantilever with a Contact Boundary Li-Qun Chen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Frictional Impact of Planar Deformable Bodies Saeed Ebrahimi, Peter Eberhard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Parallel Load Balanced Particle Simulation with Hierarchical Particle Grouping Strategies Florian Fleissner, Peter Eberhard . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Analogous Non-Smooth Models of Mechanical and Electrical Systems Michael M¨ oller, Christoph Glocker . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 Numerical Modeling of Paper Machine Roll Contact with Regenerative Out-Of-Roundness Excitation Veli-Matti J¨ arvenp¨ a¨ a, Lihong Yuan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Discrete Element Method in Simulation of Granular Materials Rimantas Kaˇcianauskas, Robertas Baleviˇcius, Darius Markauskas, Algirdas Maknickas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 A Dynamical Model for the Plane Contact with Rigid Contact Areas Rainer Keppler, Wolfgang Seemann . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 Multibody Analysis of Axially Elastic Rod Chains Erno Keskinen, Veli-Tapani Kuokkala, Taina Vuoristo, Matti Martikainen . . . . . . . . . . . . . . . . . . . . . . . .