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Dynamics and Bifurcations of Non-Smooth Mechanical Systems

  • Book
  • © 2004

Overview

Authors:
  1. Remco I. Leine

    1. Center of Mechanics, CLA H21.2, ETH Zentrum, Zürich, Switzerland

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  2. Henk Nijmeijer

    1. Dept. of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

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    You can also search for this author in PubMed   Google Scholar

  • Combines the knowledge of the field of non-smooth mechanics and nonlinear dynamics
  • Addresses researchers in engineering as well as mathematics

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 18)

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About this book

This monograph combines the knowledge of both the field of Nonlinear Dynamcis and Non-smooth Mechanics and presents a framework for a class of non-smooth mechanical systems using techniques from both fields. During the last decades, the Non-smooth Mechanics community has developed a formulation of non-smoth systems, the mathematical prerequisites (Convex Analysis) as well as dedicated numerical algorithms. "Dynamics and Bifurcations of Non-smooth Mechanical Systems" presents these developments in a comprehensive way and opens the field to the Nonlinear Dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Remco I. Leine, Henk Nijmeijer
    Pages 1-14

  3. Preliminaries on Non-smooth Analysis

    • Remco I. Leine, Henk Nijmeijer
    Pages 15-25

  4. Differential Inclusions

    • Remco I. Leine, Henk Nijmeijer
    Pages 27-38

  5. Modelling of Dry Friction

    • Remco I. Leine, Henk Nijmeijer
    Pages 39-46

  6. Mechanical Systems with Set-valued Force-laws

    • Remco I. Leine, Henk Nijmeijer
    Pages 47-71

  7. Numerical Integration Methods

    • Remco I. Leine, Henk Nijmeijer
    Pages 73-100

  8. Fundamental Solution Matrix

    • Remco I. Leine, Henk Nijmeijer
    Pages 101-124

  9. Bifurcations of Equilibria in Non-smooth Continuous Systems

    • Remco I. Leine, Henk Nijmeijer
    Pages 125-176

  10. Bifurcations of Periodic Solutions

    • Remco I. Leine, Henk Nijmeijer
    Pages 177-219

  11. Concluding Remarks

    • Remco I. Leine, Henk Nijmeijer
    Pages 221-223

  12. Back Matter

    Pages 225-236
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Authors and Affiliations

  • Center of Mechanics, CLA H21.2, ETH Zentrum, Zürich, Switzerland

    Remco I. Leine

  • Dept. of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Henk Nijmeijer

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