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Rational Kinematics

  • Jorge¬†Angeles

Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 34)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Jorge Angeles
    Pages 1-11
  3. Jorge Angeles
    Pages 12-34
  4. Jorge Angeles
    Pages 35-64
  5. Jorge Angeles
    Pages 78-122
  6. Back Matter
    Pages 123-137

About this book

Introduction

A rational study of kinematics is a treatment of the subject based on invariants, i.e., quantities that remain essentially unchanged under a change of observer. An observer is understood to be a reference frame supplied with a clock (Truesdell 1966). This study will therefore include an introduction to invariants. The language of these is tensor analysis and multilinear algebra, both of which share many isomorphic relations, These subjects are treated in full detail in Ericksen (1960) and Bowen and Wang (1976), and hence will not be included here. Only a short account of notation and definitions will be presented. Moreover, definitions and basic concepts pertaining to the kinematics of rigid bodies will be also included. Although the kinematics of rigid bodies can be regarded as a particular case of the kinematics of continua, the former deserves attention on its own merits for several reasons. One of these is that it describes locally the motions undergone by continua. Another reason is that a whole area of mechanics, known as classical dynamics, is the study of the motions undergone by particles, rigid bodies, and systems thereof.

Keywords

Simulation algorithm algorithms calculus computer graphics finite elements kinematics modeling robotics

Authors and affiliations

  • Jorge¬†Angeles
    • 1
  1. 1.Department of Mechanical EngineeringMcGill UniversityMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-3916-1
  • Copyright Information Springer-Verlag New York 1988
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8400-0
  • Online ISBN 978-1-4612-3916-1
  • Series Print ISSN 0081-3877
  • Buy this book on publisher's site