Dynamics of Mechanical Systems with Coulomb Friction

  • Le xuan Anh

Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

About this book


This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: i) derivation of the equations of motion, ii) Painleve's paradoxes, iii) tangential impact and dynamic seizure, and iiii) frictional self-excited oscillations.

In addition to theoretical results, the book contains a detailed description of experiments that have been performed. These show that, in general, the friction force at the instant of transition to motion is determined by the rate of tangential load and does not depend on the duration of the previous contact. These results are used to develop the theory of frictional self-excited oscillations. A number of industrially relevant mechanisms are considered, including the Painleve-Klein scheme, epicyclic mechanisms, crank mechanisms, gear transmission, the link mechanism of a planing machine, and the slider of metal-cutting machine tools.

The book is intended for researchers, engineers and students in mechanical engineering.


Degrees of freedom Painlevé Self-excited oscillation dynamical systems friction mechanical engineering rotation stability

Authors and affiliations

  • Le xuan Anh
    • 1
  1. 1.St. PetersburgRussian Federation

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05624-6
  • Online ISBN 978-3-540-36516-7
  • Series Print ISSN 1612-1384
  • Series Online ISSN 1860-6237
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