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Set-Valued Force Laws

Dynamics of Non-Smooth Systems

  • Christoph Glocker

Part of the Lecture Notes in Applied Mechanics book series (LNACM, volume 1)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Christoph Glocker
    Pages 1-16
  3. Christoph Glocker
    Pages 17-31
  4. Christoph Glocker
    Pages 33-53
  5. Christoph Glocker
    Pages 55-67
  6. Christoph Glocker
    Pages 69-77
  7. Christoph Glocker
    Pages 79-90
  8. Christoph Glocker
    Pages 91-101
  9. Christoph Glocker
    Pages 103-115
  10. Christoph Glocker
    Pages 117-129
  11. Christoph Glocker
    Pages 131-154
  12. Christoph Glocker
    Pages 155-173
  13. Christoph Glocker
    Pages 175-182
  14. Christoph Glocker
    Pages 183-193
  15. Christoph Glocker
    Pages 195-203
  16. Christoph Glocker
    Pages 205-208
  17. Back Matter
    Pages 209-222

About this book

Introduction

As one of the oldest natural sciences, mechanics occupies a certain pioneering role in determining the development of exact sciences through its interaction with mathematics. As a matter of fact, there is hardly an area in mathematics that hasn't found an application of some form in mechanics. It is thus almost inevitable that theoretical methods in mechanics are highly developed and laid out on different levels of abstraction. With the spread of digital processors this goes as far as the implementation in commercial computer codes, where the user is merely con­ fronted on the surface with the processes that run in the background, i. e. mechan­ ics as such: in teaching and research, as well as in the context of industry, me­ chanics is much more, and must remain much more than the mere production of data with the help of a processor. Mechanics, as it is talked about here, tradition­ ally includes a wide spectrum, ranging from applied mechanics, analytical and technical mechanics to modeling. and experimental mechanics, as well as technical realization. It also includes the subdisciplines of rigid body mechanics, continuum mechanics, or fluid mechanics, to mention only a few. One of the fundamental and most important concepts used by nearly all natural sciences is the concept of linearization, which assumes the differentiability of mappings. As a matter of fact, all of classical mechanics is based on the avail­ ability of this quality.

Keywords

Drilling Force Laws Rigid Body Systems Rigid body Set-valued Force Laws model modeling optimization simulation

Authors and affiliations

  • Christoph Glocker
    • 1
  1. 1.Dept. of Mechanical and Process EngineeringInstitute of Mechanical SystemsZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-44479-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-53595-6
  • Online ISBN 978-3-540-44479-4
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
  • Buy this book on publisher's site