Advances in Robot Kinematics: Analysis and Design

This book presents the most recent research advances in the theory, design, control and application of robot systems, which are intended for a variety of purposes such as manipulation, manufacturing, automation, surgery, locomotion and biomechanics. The i

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Jadran Lenarˇciˇc •

Philippe Wenger

Editors

Advances in Robot Kinematics: Analysis and Design

Jadran Lenarˇciˇc J. Stefan Institute Ljubljana, Slovenia

ISBN-13: 978-1-4020-8599-4

Philippe Wenger IRCCyN Institute Nantes, France

e-ISBN-13: 978-1-4020-8600-7

Library of Congress Control Number: 2008927513 © 2008 Springer Science+Business Media B.V. No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed on acid-free paper 987654321 springer.com

Table of Contents

Preface

xi

SINGULARITY ANALYSIS OF PARALLEL MANIPULATORS A New Assessment of Singularities of Parallel Kinematic Chains Michele Conconi and Marco Carricato

3

Singularity Analysis through Static Analysis J. Hubert and J.-P. Merlet

13

Constraint Singularities and the Structural Parameters of Parallel Robots Grigore Gogu

21

Forward Kinematics and Singularity Analysis of a 3-RPR Planar Parallel Manipulator Xianwen Kong

29

Geometric Algebra Approach to Singularity of Parallel Manipulators with Limited Mobility Tanio K. Tanev

39

SinguLab – A Graphical User Interface for the Singularity Analysis of Parallel Robots Based on Grassmann–Cayley Algebra Patricia Ben-Horin, Moshe Shoham, Stéphane Caro, Damien Chablat and Philippe Wenger Singularity Analysis of Limited-DOF Parallel Manipulators Using Grassmann–Cayley Algebra Daniel Kanaan, Philippe Wenger and Damien Chablat

49

59

DESIGN OF ROBOTS AND MECHANISMS On the Design of Fully Constrained Parallel Cable-Driven Robots M. Gouttefarde, S. Krut, O. Company, F. Pierot and N. Ramdani

v

71

vi

Table of Contents

Synthesis of Part Orienting Devices for Spatial Assembly Tasks P. Larochelle

79

Minimum Energy Manipulator Design A. Rojas Salgado and Y. Ledezman Rubio

89

Synthesis and Analysis of a Constrained Spherical Parallel Manipulator G.S. Soh and J.M. McCarthy

101

A Nonholonomic 3-DOF Parallel Robot Patricia Ben-Horin and Federico Thomas

111

4DOF Parallel Architecture for Laparoscopic Surgery Mohammad Aamir Khan, Matteo Zoppi and Rezio Molfino

119

Flapping-Wing Mechanism for a Bird-Sized UAVs: Design, Modeling and Control Ch. Grand, P. Martinelli, J.-B. Mouret and S. Doncieux

127

Extended Jacobian Inverse Kinematics and Approximation of Distributions Mariusz Janiak and Krzysztof Tcho´n

137

A Screw Syzygy with Applications to Robot Singularity Computation J.M. Selig and Peter Donelan

147

Singularity Robust Jacobian Inverse Kinematics for Mobile Manipulators Krzysztof Tcho´n and Łukasz Małek

155

Robots Based on Assur Group A (3.5) Karl Wohlart

165

Kinematics of Free-Floating Systems through Optimal Control Theory G. Le Vey

177

Genericity Conditions for Serial Manipulators Peter Donelan

185

Alternative Forms for Displace

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