Concepts and Formulations for Spatial Multibody Dynamics

This book will be particularly useful to those interested in multibody simulation (MBS) and the formulation for the dynamics of spatial multibody systems. The main types of coordinates that can be used in the formulation of the equations of motion of cons

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Paulo Flores

Concepts and Formulations for Spatial Multibody Dynamics

SpringerBriefs in Applied Sciences and Technology

More information about this series at http://www.springer.com/series/8884

Paulo Flores

Concepts and Formulations for Spatial Multibody Dynamics

123

Paulo Flores Department of Mechanical Engineering University of Minho Guimaraes Portugal

ISSN 2191-530X ISSN 2191-5318 (electronic) SpringerBriefs in Applied Sciences and Technology ISBN 978-3-319-16189-1 ISBN 978-3-319-16190-7 (eBook) DOI 10.1007/978-3-319-16190-7 Library of Congress Control Number: 2015933371 Springer Cham Heidelberg New York Dordrecht London © The Author(s) 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)

Preface

As the name suggests, a multibody system is an assembly of several bodies connected to each other by joints and acted upon by forces. A body, which can be rigid or flexible, is composed of a collection of material points. A joint allows for certain degrees of freedom and constrains others. In practice, joints are connection devices such as bearings, rod guides, etc., which from a mathematical point of view are denominated as revolute joints, translational joints, etc., according to the relative degrees of motion permitted. The forces can have different sources and different levels of complexity. Dynamics of multibody systems is based on classical mechanics and has a long and prolific history. Multibody systems serve as a basis for many models of mechanical systems and have been applied in many areas of science and engineering. Multibody systems are often used to analyze biological and human locomotion. Controlled systems are frequently prototyped through computer simulation of multibody models. There are also applications in medical, robotics, space subsystems, and computer games. A free or unconstrained material point is the simp