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Dynamics of Mechanical Systems with Coulomb Friction

  • Book
  • © 2003

Overview

Authors:
  1. Le xuan Anh

    1. St. Petersburg, Russian Federation

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  • Addresses the general theory of mechanical systems with Coulomb friction
  • Comparison between theory and experiments
  • Stands in the Russian tradition of connecting highly sophisticated theory with engineering applications
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-9
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  2. Development of the theory of motion for systems with Coulomb friction

    • Le xuan Anh
    Pages 11-36

  3. Systems with a single degree of freedom and a single frictional pair

    • Le xuan Anh
    Pages 37-66

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

    • Le xuan Anh
    Pages 67-124

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

    • Le xuan Anh
    Pages 125-162

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

    • Le xuan Anh
    Pages 163-196

  7. Experimental investigations into the force of friction under self-excited oscillations

    • Le xuan Anh
    Pages 197-216

  8. Force and small displacement in the contact

    • Le xuan Anh
    Pages 217-230

  9. Frictional self-excited oscillations

    • Le xuan Anh
    Pages 231-253

  10. Back Matter

    Pages 255-272
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Keywords

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: derivation of the equations of motion, Painleve's paradoxes, tangential impact and dynamic seizure, and frictional self-excited oscillations. In addition to the theoretical results, the book contains a detailed description of experiments that 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.

Authors and Affiliations

  • St. Petersburg, Russian Federation

    Le xuan Anh

Bibliographic Information

  • Book Title: Dynamics of Mechanical Systems with Coulomb Friction

  • Authors: Le xuan Anh

  • Series Title: Foundations of Engineering Mechanics

  • DOI: https://doi.org/10.1007/978-3-540-36516-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2003

  • Hardcover ISBN: 978-3-540-00654-1Published: 23 April 2003

  • Softcover ISBN: 978-3-642-05624-6Published: 12 December 2011

  • eBook ISBN: 978-3-540-36516-7Published: 06 December 2012

  • Series ISSN: 1612-1384

  • Series E-ISSN: 1860-6237

  • Edition Number: 1

  • Number of Pages: IV, 272

  • Topics: Theoretical and Applied Mechanics, Computational Intelligence, Classical Mechanics

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