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Dynamic Analysis of Robot Manipulators

A Cartesian Tensor Approach

  • C. A. Balafoutis
  • R. V. Patel

Table of contents

  1. Front Matter
    Pages i-xii
  2. C. A. Balafoutis, R. V. Patel
    Pages 1-18
  3. C. A. Balafoutis, R. V. Patel
    Pages 19-46
  4. C. A. Balafoutis, R. V. Patel
    Pages 47-84
  5. C. A. Balafoutis, R. V. Patel
    Pages 85-116
  6. C. A. Balafoutis, R. V. Patel
    Pages 117-182
  7. C. A. Balafoutis, R. V. Patel
    Pages 183-218
  8. C. A. Balafoutis, R. V. Patel
    Pages 219-249
  9. Back Matter
    Pages 251-292

About this book

Introduction

The purpose of this monograph is to present computationally efficient algorithms for solving basic problems in robot manipulator dynamics. In par­ ticular, the following problems of rigid-link open-chain manipulator dynam­ ics are considered : i) computation of inverse dynamics, ii) computation of forward dynamics, and iii) generation of linearized dynamic models. Com­ putationally efficient solutions of these problems are prerequisites for real­ time robot applications and simulations. Cartesian tensor analysis is the mathematical foundation on which the above mentioned computational algorithms are based. In particular, it is shown in this monograph that by exploiting the relationships between second order Cartesian tensors and their vector invariants, a number of new tensor­ vector identities can be obtained. These identities enrich the theory of Carte­ sian tensors and allow us to manipulate complex Cartesian tensor equations effuctively. Moreover, based on these identities the classical vector descrip­ tion for the Newton-Euler equations of rigid body motion are rewritten in an equivalent tensor formulation which is shown to have computational advan­ tages over the classical vector formulation. Thus, based on Cartesian tensor analysis, a conceptually simple, easy to implement and computationally efficient tensor methodology is presented in this monograph for studying classical rigid body dynamics. XlI Application of this tensor methodology to the dynamic analysis of rigid-link open-chain robot manipulators is simple and leads to an efficient fonnulation of the dynamic equations of motion.

Keywords

algorithms material robot simulation

Authors and affiliations

  • C. A. Balafoutis
    • 1
  • R. V. Patel
    • 1
  1. 1.Concordia UniversityMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-3952-0
  • Copyright Information Kluwer Academic Publishers 1991
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-6764-2
  • Online ISBN 978-1-4615-3952-0
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site