Vibro-Impact Dynamics

Modeling, Mapping and Applications

  • Raouf A. Ibrahim

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 43)

Table of contents

  1. Front Matter
  2. Raouf A. Ibrahim
    Pages 1-5
  3. Raouf A. Ibrahim
    Pages 7-29
  4. Raouf A. Ibrahim
    Pages 31-54
  5. Raouf A. Ibrahim
    Pages 55-95
  6. Raouf A. Ibrahim
    Pages 97-123
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    Pages 125-149
  8. Raouf A. Ibrahim
    Pages 151-191
  9. Raouf A. Ibrahim
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  10. Raouf A. Ibrahim
    Pages 217-232
  11. Back Matter

About this book


Vibro-impact dynamics has occupied a wide spectrum of studies by dynamicists, physicists, and mathematicians. These studies may be classified into three main categories: modeling, mapping and applications. The main techniques used in modeling of vibro-impact systems such as phenomenological modelings, Hertzian models, and non-smooth coordinate transformations developed by Zhuravlev and Ivanov are outlined. One of the most critical situations impeded in vibro-impact systems is the grazing bifurcation. Grazing bifurcation is usually studied through discontinuity mapping techniques, which are very useful to uncover the rich dynamics in the process of impact interaction. This book also considers selected deterministic and stochastic applications of vibro-impact dynamics which cover lumped and continuous systems. One of the most beneficial outcomes of vibro-impact dynamics is the development of impact dampers, which have witnessed significant activities over the last four decades and have been used in several applications. The book is supported by an extensive bibliography which exceeds 1,100 references.


Mechanical Systems Vibro-Impact Dynamics bifurcation development dynamics modeling transformation

Authors and affiliations

  • Raouf A. Ibrahim
    • 1
  1. 1.Department of Mechanical EngineeringWayne State UniversityDetroitUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-642-00274-8
  • Online ISBN 978-3-642-00275-5
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
  • Buy this book on publisher's site
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