Numerical Engineering Optimization Application of the Computer Algeb

This study aid on numerical optimization techniques is intended for university undergraduate and postgraduate mechanical engineering students. Optimization procedures are becoming more and more important for lightweight design, where weight reduction can,

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Numerical Engineering Optimization Application of the Computer Algebra System Maxima

Numerical Engineering Optimization

Andreas Öchsner Resam Makvandi •

Numerical Engineering Optimization Application of the Computer Algebra System Maxima

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Andreas Öchsner Faculty of Mechanical Engineering Esslingen University of Applied Sciences Esslingen am Neckar, Baden-Württemberg Germany

Resam Makvandi Institute of Mechanics Otto von Guericke University Magdeburg Magdeburg, Sachsen-Anhalt, Germany

ISBN 978-3-030-43387-1 ISBN 978-3-030-43388-8 https://doi.org/10.1007/978-3-030-43388-8

(eBook)

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed 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, expressed 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. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

This book is intended as a study aid for numerical optimization techniques in undergraduate as well as postgraduate degree courses in mechanical engineering at universities. Such procedures become more and more important in the context of lightweight design where a weight reduction may directly result, for example in the case of automotive or aerospace industry, in a lower fuel consumption and the corresponding reduction of operational costs as well as beneficial effects on the environment. Based on the free computer algebra system Maxima, we offer routines to numerically solve problems from the context of engineering mathematics as well as applications taken from the classical courses of strength of materials. The mechanical theories focus on the classical one-dimensional structural elements, i.e. springs, bars, and Euler–Bernoulli beams. Focusing on simple structural members reduces the complexity of the numerical f