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© 2017

Singularities of Robot Mechanisms

Numerical Computation and Avoidance Path Planning

Book

Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 41)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Oriol Bohigas, Montserrat Manubens, Lluís Ros
    Pages 1-12
  3. Oriol Bohigas, Montserrat Manubens, Lluís Ros
    Pages 13-35
  4. Oriol Bohigas, Montserrat Manubens, Lluís Ros
    Pages 37-73
  5. Oriol Bohigas, Montserrat Manubens, Lluís Ros
    Pages 75-110
  6. Oriol Bohigas, Montserrat Manubens, Lluís Ros
    Pages 111-136
  7. Oriol Bohigas, Montserrat Manubens, Lluís Ros
    Pages 137-165
  8. Oriol Bohigas, Montserrat Manubens, Lluís Ros
    Pages 167-173
  9. Back Matter
    Pages 175-184

About this book

Introduction

This book presents the singular configurations associated with a robot mechanism, together with robust methods for their computation, interpretation, and avoidance path planning. Having such methods is essential as singularities generally pose problems to the normal operation of a robot, but also determine the workspaces and motion impediments of its underlying mechanical structure. A distinctive feature of this volume is that the methods are applicable to nonredundant mechanisms of general architecture, defined by planar or spatial kinematic chains interconnected in an arbitrary way. Moreover, singularities are interpreted as silhouettes of the configuration space when seen from the input or output spaces. This leads to a powerful image that explains the consequences of traversing singular configurations, and all the rich information that can be extracted from them. The problems are solved by means of effective branch-and-prune and numerical continuation methods that are of independent interest in themselves. The theory can be put into practice as well: a companion web page gives open access to implementations of the algorithms and the corresponding input files. Using them, the reader can gain hands-on experience on the topic, or analyse new mechanisms beyond those examined in the text. Overall, the book contributes new tools for robot design, and constitutes a single reference source of knowledge that is otherwise dispersed in the literature.   

Keywords

Branch-and-prune Method Higher-dimensional Continuation Numerical Computation Robot Kinematics Singularity-Free Path Planning

Authors and affiliations

  1. 1.Kinematics and Robot DesignInstitut de Robòtica i Informàtica Industrial (UPC-CSIC)Barcelona, CataloniaSpain
  2. 2.Kinematics and Robot DesignInstitut de Robòtica i Informàtica Industrial (UPC-CSIC)Barcelona, CataloniaSpain
  3. 3.Kinematics and Robot DesignInstitut de Robòtica i Informàtica Industrial (UPC-CSIC)Barcelona, CataloniaSpain

About the authors


Bibliographic information

Reviews

“The book is valuable from many points of view. One of them is the clear, systematic and synthetic characterization of singularities as an algebraic problem. Another is the abundant use of real-case examples and the care in the graphical display. Moreover, the authors' proposals for a novel numerical computation scheme of singularities and a singularity-free path planning scheme are worth noting.” (Gianni Ferretti, Mathematical Reviews, May 2017)