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  • Book
  • © 2015

Dynamics of Parallel Robots

From Rigid Bodies to Flexible Elements

  • Fully dedicated to the dynamics of parallel robots (rigid and flexible)
  • Includes mathematica codes for the computation of dynamic models of rigid and flexible parallel robots
  • Includes experimental results that show that dynamic models are not only equations, but are strongly linked to reality
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mechanisms and Machine Science (Mechan. Machine Science, volume 35)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvii
  2. Prerequisites

    1. Front Matter

      Pages 1-1
    2. Generalities on Parallel Robots

      • Sébastien Briot, Wisama Khalil
      Pages 3-18
    3. Homogeneous Transformation Matrix

      • Sébastien Briot, Wisama Khalil
      Pages 19-32
    4. Representation of Velocities and Forces/Acceleration of a Body

      • Sébastien Briot, Wisama Khalil
      Pages 33-37
    5. Kinematic Description of Multibody Systems

      • Sébastien Briot, Wisama Khalil
      Pages 39-49
    6. Dynamics Principles

      • Sébastien Briot, Wisama Khalil
      Pages 61-71
  3. Dynamics of Rigid Parallel Robots

    1. Front Matter

      Pages 73-73
    2. Kinematics of Parallel Robots

      • Sébastien Briot, Wisama Khalil
      Pages 75-138
    3. Dynamic Modeling of Parallel Robots

      • Sébastien Briot, Wisama Khalil
      Pages 139-199
  4. Dynamics of Flexible Parallel Robots

    1. Front Matter

      Pages 235-235
    2. Elastodynamic Modeling of Parallel Robots

      • Sébastien Briot, Wisama Khalil
      Pages 237-278
    3. Computation of Natural Frequencies

      • Sébastien Briot, Wisama Khalil
      Pages 279-297
  5. Errata to: Dynamics of Parallel Robots

    • Sébastien Briot, Wisama Khalil
    Pages E1-E1
  6. Back Matter

    Pages 299-350

About this book

This book starts with a short recapitulation on basic concepts, common to any types of robots (serial, tree structure, parallel, etc.), that are also necessary for computation of the dynamic models of parallel robots. Then, as dynamics requires the use of geometry and kinematics, the general equations of geometric and kinematic models of parallel robots are given. After, it is explained that parallel robot dynamic models can be obtained by decomposing the real robot into two virtual systems: a tree-structure robot (equivalent to the robot legs for which all joints would be actuated) plus a free body corresponding to the platform. Thus, the dynamics of rigid tree-structure robots is analyzed and algorithms to obtain their dynamic models in the most compact form are given. The dynamic model of the real rigid parallel robot is obtained by closing the loops through the use of the Lagrange multipliers. The problem of the dynamic model degeneracy near singularities is treated and optimaltrajectory planning for crossing singularities is proposed. Lastly, the approach is extended to flexible parallel robots and the algorithms for computing their symbolic model in the most compact form are given. All theoretical developments are validated through experiments.

Reviews

“The present book, based on results published by many authors as well as by the two authors of the book over the last fifteen years, treats some special problems on the dynamics of parallel robots from rigid bodies to flexible elements … . the intended audience for it consists of researchers, scientists and engineers, as well as master and PhD students interested in the theory and applications of parallel robots.” (Clementina Mladenova, zbMATH 1369.68001, 2017)

Authors and Affiliations

  • Institut de Recherche en Com. et Cybernétique de Nantes, CNRS, IRCCyN, Nantes Cedex 3, France

    Sébastien Briot

  • U.M.R CNRS 6597, École Centrale de Nantes, IRCCyN, Nantes Cedex 3, France

    Wisama Khalil

Bibliographic Information

  • Book Title: Dynamics of Parallel Robots

  • Book Subtitle: From Rigid Bodies to Flexible Elements

  • Authors: Sébastien Briot, Wisama Khalil

  • Series Title: Mechanisms and Machine Science

  • DOI: https://doi.org/10.1007/978-3-319-19788-3

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-19787-6Published: 01 July 2015

  • Softcover ISBN: 978-3-319-35660-0Published: 15 October 2016

  • eBook ISBN: 978-3-319-19788-3Published: 22 June 2015

  • Series ISSN: 2211-0984

  • Series E-ISSN: 2211-0992

  • Edition Number: 1

  • Number of Pages: XVII, 350

  • Number of Illustrations: 119 b/w illustrations

  • Topics: Vibration, Dynamical Systems, Control, Control, Robotics, Mechatronics, Mechanical Engineering

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access