Vibration of Strongly Nonlinear Discontinuous Systems

  • Vladimir I. Babitsky
  • V. L. Krupenin

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

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Vladimir I. Babitsky, V. L. Krupenin
    Pages 1-74
  3. Vladimir I. Babitsky, V. L. Krupenin
    Pages 75-239
  4. Vladimir I. Babitsky, V. L. Krupenin
    Pages 241-313
  5. Back Matter
    Pages 315-404

About this book


Among the wide variety of nonlinear mechanical systems, it is possible to distinguish a representative class, which may be characterised by the presence of threshold nonlinear positional forces. Such discontinuous systems demonstrate a sudden and essential change in the behaviour of elastic and dissipative forces within every cycle of vibration. This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms. All solutions are transformed to the final analytical expressions allowing clear mechanical interpretation. These methods are applied to the analysis of mechanical systems designed for the generation and transformation of intensive impulsive processes or structures exposed to such a nonlinear dynamic loading. These are vibro-impact processes due to intermittent unilateral contacts of the structure elements, created by backlashes in joints and kinematic pairs, during opening and closing of cracks etc. New mechanical effects are described. Some engineering problems are solved using a combination of analytical technique and modern simulation tools.


Analysis Transformation design operator resonance simulation vibration

Authors and affiliations

  • Vladimir I. Babitsky
    • 1
  • V. L. Krupenin
    • 2
  1. 1.Department of Mechanical EngineeringLouborough UniversityLouborough LeicestershireGreat Britain
  2. 2.Institute of Machine StudiesRussian Academy of ScienceMoscowRussia

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07471-4
  • Online ISBN 978-3-540-44488-6
  • Series Print ISSN 1612-1384
  • Series Online ISSN 1860-6237
  • Buy this book on publisher's site