Numerics of Unilateral Contacts and Friction

Modeling and Numerical Time Integration in Non-Smooth Dynamics

  • Christian┬áStuder

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 47)

Table of contents

  1. Front Matter
  2. Christian Studer
    Pages 1-8
  3. Christian Studer
    Pages 9-16
  4. Christian Studer
    Pages 17-30
  5. Christian Studer
    Pages 31-58
  6. Christian Studer
    Pages 59-97
  7. Christian Studer
    Pages 129-159
  8. Christian Studer
    Pages 161-164
  9. Back Matter

About this book


This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application; consider for example contacts between wheels and ground in vehicle dynamics, walking machines, limit stops and friction in arbitrary kind of mechanisms or contacts between thousands of grains in granular mechanics. The book focuses mainly on rigid multibody systems dynamics with unilateral contacts and friction, however, the proposed non-smooth modeling approach is much more general and also well suited for non-rigid applications.

Four main topics are addressed:

  • Non-smooth modeling of unilateral contacts and friction by set valued force laws,
  • Mathematical evaluation of these laws using normal cone inclusions with associated projective equations,
  • Numerical time-stepping integration methods for non-smooth systems,
  • Implementation in a software code.

The book closes the gap between highly specialized mathematical literature and engineering application, gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for the future development in this promising field of active research.


Friction Multibody Dynamics Non Smooth Mechanics Non-Smooth Dynamics Non-Smooth Modeling Set-Valued Force Laws Unilateral Contact development mechanics modeling numerics simulation

Authors and affiliations

  • Christian┬áStuder
    • 1
  1. 1.IMES-Center of MechanicsETH Zurich ZurichSwitzerland

Bibliographic information

  • DOI
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-642-01099-6
  • Online ISBN 978-3-642-01100-9
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
  • Buy this book on publisher's site
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