MATLAB Guide to Finite Elements.pdf-资料库

1ff5be31-466b-480b-95b1-8d7f83346f7c.pdf-第1页.png

第1页 / 共430页

1ff5be31-466b-480b-95b1-8d7f83346f7c.pdf-第2页.png

第2页 / 共430页

1ff5be31-466b-480b-95b1-8d7f83346f7c.pdf-第3页.png

第3页 / 共430页

1ff5be31-466b-480b-95b1-8d7f83346f7c.pdf-第4页.png

第4页 / 共430页

1ff5be31-466b-480b-95b1-8d7f83346f7c.pdf-第5页.png

第5页 / 共430页

1ff5be31-466b-480b-95b1-8d7f83346f7c.pdf-第6页.png

第6页 / 共430页

1ff5be31-466b-480b-95b1-8d7f83346f7c.pdf-第7页.png

第7页 / 共430页

1ff5be31-466b-480b-95b1-8d7f83346f7c.pdf-第8页.png

第8页 / 共430页

MATLAB Guide to Finite Elements

Peter I. Kattan MATLAB Guide to Finite Elements An Interactive Approach Second Edition With 108 Figures and 25 Tables

Peter I. Kattan, PhD P.O. BOX 1392 Amman 11118 Jordan pkattan@tedata.net.jo pkattan@lsu.edu Library of Congress Control Number: 2007920902 ISBN-13 978-3-540-70697-7 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, speciﬁcally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microﬁlm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com c Springer-Verlag Berlin Heidelberg 2008 The use of general descriptive names, registered names, trademarks, 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. Typesetting: Integra Software Services Pvt. Ltd., Pondicherry, India Cover design: Erich Kirchner, Heidelberg Printed on acid-free paper SPIN: 11301950 42/3100/Integra 5 4 3 2 1 0

Dedicated to My Professor, George Z. Voyiadjis

Preface to the Second Edition Soon after the ﬁrst edition of this book was published at the end of 2002, it was realized that a new edition of the book was needed. I received positive feedback from my readers who requested that I provide additional ﬁnite elements in other areas like ﬂuid ﬂow and heat transfer. However, I did not want to lengthen the book considerably. Therefore, I decided to add two new chapters thus adding new material while keeping the size of the book reasonable. The second edition of the book continues with the same successful format that characterized the ﬁrst edition – which was sold out in less than four years. I continue to emphasize the important features of interactivity of using MATLAB1 coupled with the simplicity and consistency of presentation of ﬁnite elements. One of the most important features also is bypassing the use of numerical integration in favor of exact analytical integration with the use of the MATLAB Symbolic Math Toolbox2. The use of this toolbox is emphasized in Chaps. 12, 13, 14, and 16. In the new edition, two important changes are immediately noted. First, I corrected the handful of typing errors that appeared in the ﬁrst edition. Second, I added two new chapters. Chap. 16 includes another solid three-dimensional element (the eight- noded brick element) in great detail. The ﬁnal chapter (Chap. 17) provides a review of the applications of ﬁnite elements in other areas like ﬂuid ﬂow, heat transfer, geotechnical engineering, electro-magnetics, structural dynamics, plasticity, etc. In this chapter, I show how the same consistent strategy that was followed in the ﬁrst sixteen chapters can be used to write MATLAB functions in these areas by providing the MATLAB code for a one-dimensional ﬂuid ﬂow element. One minor drawback of the ﬁrst edition as I see it is the absence of a concluding chapter. Therefore, I decided to remedy the situation by adding Chap. 17 as a real concluding chapter to the book. It is clear that this chapter is different from the ﬁrst sixteen chapters and thus may well provide a well written conclusion to the book. The second edition still comes with an accompanying CD-ROM that contains the full set of M-ﬁles written speciﬁcally to be used with this book. These MATLAB functions have been tested with version 7 of MATLAB and should work with any 1 MATLAB is a registered trademark of The MathWorks, Inc. 2 The MATLAB Symbolic Math Toolbox is a registered trademark of The MathWorks, Inc.

VIII Preface to the Second Edition later versions. In addition, the CD-ROM contains a complete solutions manual that includes detailed solutions to all the problems in the book. If the reader does not wish to consult these solutions, then a brief list of answers is provided in printed form at the end of the book. I would like to thank my family members for their help and continued support with- out which this book would not have been possible. I would also like to acknowledge the help of the editior at Springer-Verlag (Dr. Thomas Ditzinger) for his assistance in bringing this book out in its present form. Finally, I would like to thank my brother, Nicola, for preparing most of the line drawings in both editions. In this edition, I am providing two email addresses for my readers to contact me (pkattan@tedata.net.jo and pkattan@lsu.edu). The old email address that appeared in the ﬁrst edition was cancelled in 2004. December 2006 Peter I. Kattan

Preface to the First Edition This is a book for people who love ﬁnite elements and MATLAB3. We will use the popular computer package MATLAB as a matrix calculator for doing ﬁnite element analysis. Problems will be solved mainly using MATLAB to carry out the tedious and lengthy matrix calculations in addition to some manual manipulations especially when applying the boundary conditions. In particular the steps of the ﬁnite element method are emphasized in this book. The reader will not ﬁnd ready-made MATLAB programs for use as black boxes. Instead step-by-step solutions of ﬁnite element prob- lems are examined in detail using MATLAB. Problems from linear elastic structural mechanics are used throughout the book. The emphasis is not on mass computation or programming, but rather on learning the ﬁnite element method computations and understanding of the underlying concepts. In addition to MATLAB, the MATLAB Symbolic Math Toolbox4 is used in Chaps. 12, 13, and 14. Many types of ﬁnite elements are studied in this book including the spring element, the bar element, two-dimensional and three-dimensional truss elements, plane and space beam and frame elements, two-dimensional elasticity elements for plane stress and plane strain problems, and one three-dimensional solid element. Each chapter deals with only one type of element. Also each chapter starts with a summary of the basic equations for the element followed by a number of examples demonstrating the use of the element using the provided MATLAB functions. Special MATLAB functions for ﬁnite elements are provided as M-ﬁles on the accompanying CD-ROM to be used in the examples. These functions have been tested successfully with MATLAB versions 5.0, 5.3, and 6.1. They should work with other later versions. Each chapter also ends with a number of problems to be used as practice for students. This book is written primarily for students studying ﬁnite element analysis for the ﬁrst time. It is intended as a supplementary text to be used with a main textbook for an introductory course on the ﬁnite element method. Since the computations of ﬁnite elements usually involve matrices and matrix manipulations, it is only natural that students use a matrix-based software package like MATLAB to do the calculations. 3 MATLAB is a registered trademark of The MathWorks, Inc. 4 The MATLAB Symbolic Math Toolbox is a registered trademark of The MathWorks, Inc.

资料库

MATLAB Guide to Finite Elements.pdf

相关推荐

行业

热门标签

最新资料