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Ebook The finite element methods

(BQ) Part 1 book "The finite element methods - A Practical course" has contents: Computational Modelling, Introduction to Mechanics for Solids and Structures, Fundamentals for Finite Element Method, FEM for trusses, FEM for beams | Butterworth-Heinemann An imprint of Elsevier Science Linacre House, Jordan Hill, Oxford OX2 8DP 200 Wheeler Road, Burlington MA 01803 First published 2003 Copyright © 2003, Elsevier Science Ltd. All rights reserved No part of this publication may be reproduced in any material form (including photocopying or storing in any medium by electronic means and whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright holder except in accordance with the provisions of the Copyright, Designs and Patents Act 1988 or under the terms of a licence issued by the Copyright Licensing Agency Ltd, 90 Tottenham Court Road, London, England W1T 4LP. Applications for the copyright holder’s written permission to reproduce any part of this publication should be addressed to the publishers British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Cataloguing in Publication Data A catalogue record for this book is available from the Library of Congress ISBN 0 7506 5866 5 For information on all Butterworth-Heinemann publications visit our website at www.bh.com CONTENTS Biographical Information ix Preface xi 1 Computational Modelling 1.1 Introduction 1.2 Physical Problems in Engineering 1.3 Computational Modelling using the FEM 1.4 Simulation 1.5 Visualization 1 1 3 4 7 9 2 Introduction to Mechanics for Solids and Structures 2.1 Introduction 2.2 Equations for Three-Dimensional Solids 2.3 Equations for Two-Dimensional Solids 2.4 Equations for Truss Members 2.5 Equations for Beams 2.6 Equations for Plates 2.7 Remarks 12 12 13 19 22 24 28 34 3 Fundamentals for Finite Element Method 3.1 Introduction 3.2 Strong and Weak Forms 3.3 Hamilton’s Principle 3.4 FEM Procedure 3.5 Static Analysis 3.6 Analysis of Free Vibration (Eigenvalue Analysis) 3.7 Transient Response 3.8 Remarks 3.9 Review .