An Isogeometric Approach to Beam Structures Bridging the Classical t

This book proposes a novel, original condensation method to beam formulation based on the isogeometric approach to reducing the degrees of freedom to conventional two-node beam elements. In this volume, the author defines the Buntara Condensation Formulat

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An Isogeometric Approach to Beam Structures Bridging the Classical to Modern Technique

An Isogeometric Approach to Beam Structures

Buntara S. Gan

An Isogeometric Approach to Beam Structures Bridging the Classical to Modern Technique

Buntara S. Gan College of Engineering, Department of Architecture Nihon University Koriyama, Fukushima, Japan

ISBN 978-3-319-56492-0 ISBN 978-3-319-56493-7 DOI 10.1007/978-3-319-56493-7

(eBook)

Library of Congress Control Number: 2017942943 © Springer International Publishing AG 2018 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

To Rie, Kenta, Suchan, and Shichan Thank you for the love and encouragement over the years

Preface

This book is dedicated to bridging the classical beam theories and modern numerical simulation using the NURBS concept. If we observe carefully the state of the art and well-recognized finite element analysis (FEA) and computer-aided design (CAD), they are two different disciplines in engineering and science that do not go along with each other, until T.J.R. Hughes and co-workers in 2005 introduced the isogeometric analysis to bridge the gap between the CAD and the FEA approaches in which it gained significant thrusts to all research studies on this topic. This book is intended for students in engineering and science who are beginning a series of courses in structures and mechanics, practitioners in companies who are starting to learn how to analyze the NURBS curves that they usually draw in their daily work, and researchers who are going to pursue or extend their research in a beam element using NURBS curves. This book is written as a textbook or workbook with tutorials in how