Foundations of Engineering Mechanics

Dynamics of Mechanical Systems with Coulomb Friction

Authors: Le Xuan Anh

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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.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Development of the theory of motion for systems with Coulomb friction

    Anh, Le xuan

    Pages 11-36

  • Systems with a single degree of freedom and a single frictional pair

    Anh, Le xuan

    Pages 37-66

  • Accounting for dry friction in mechanisms. Examples of single-degree-of-freedom systems with a single frictional pair

    Anh, Le xuan

    Pages 67-124

  • Systems with many degrees of freedom and a single frictional pair. Solving Painlevé’s paradoxes

    Anh, Le xuan

    Pages 125-162

  • Systems with several frictional pairs. Painlevé’s law of friction. Equations for the perturbed motion taking account of contact compliance

    Anh, Le xuan

    Pages 163-196

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-540-36516-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-3-540-00654-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-3-642-05624-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dynamics of Mechanical Systems with Coulomb Friction
Authors
Translated by
Belyaev, A.
Series Title
Foundations of Engineering Mechanics
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-36516-7
DOI
10.1007/978-3-540-36516-7
Hardcover ISBN
978-3-540-00654-1
Softcover ISBN
978-3-642-05624-6
Series ISSN
1612-1384
Edition Number
1
Number of Pages
IV, 272
Topics