This successful textbook explores the numerical implementation of Finite Element Analysis using the computer program MATLAB, which is very popular today in engineering and engineering education. The book contains a short tutorial on MATLAB as well as a systematic strategy for the treatment of finite element methods. Useful to both students and researchers in engineering, it provides various examples and exercises from mechanical, civil and aerospace engineering, as well as from materials science. The book especially stresses the interactive use of MATLAB, with each example solved in an interactive manner. The accompanying CD-ROM includes more than fifty MATLAB functions specifically written to be used with this book in the form of a MATLAB Finite Element Toolbox. An extensive solutions manual is provided as well, which includes detailed solutions to all the problems in the book for classroom use. This second edition includes a new brick (solid) element with eight nodes and a one-dimensional fluid flow element. A review of the applications of finite elements in various fields such as fluid flow, heat transfer, structural dynamics, electro-magnetics, is added as well.
Author(s): Peter I. Kattan
Edition: 2nd
Publisher: Springer
Year: 2007
Language: English
Pages: 442
Tags: Математика;Вычислительная математика;Метод конечных элементов;
3540706976......Page 1
MATLAB Guide to Finite Elements, Second Edition......Page 4
Preface to the Second Edition
......Page 8
Preface to the First Edition......Page 10
Table of Contents......Page 12
1.1 Steps of the Finite Element Method......Page 14
1.2 MATLAB Functions for Finite Element Analysis......Page 15
1.3 MATLAB Tutorial......Page 17
2.1 Basic Equations......Page 24
2.2 MATLAB Functions Used......Page 25
3.1 Basic Equations......Page 40
3.2 MATLAB Functions Used......Page 41
4.1 Basic Equations......Page 57
4.2 MATLAB Functions Used......Page 58
5.1 Basic Equations......Page 73
5.2 MATLAB Functions Used......Page 74
6.1 Basic Equations......Page 102
6.2 MATLAB Functions Used......Page 103
7.1 Basic Equations......Page 119
7.2 MATLAB Functions Used......Page 120
8.1 Basic Equations......Page 146
8.2 MATLAB Functions Used......Page 148
9.1 Basic Equations......Page 184
9.2 MATLAB Functions Used......Page 185
10.1 Basic Equations......Page 201
10.2 MATLAB Functions Used......Page 203
11.1 Basic Equations......Page 225
11.2 MATLAB Functions Used......Page 227
12.1 Basic Equations......Page 256
12.2 MATLAB Functions Used......Page 258
13.1 Basic Equations......Page 281
13.2 MATLAB Functions Used......Page 284
14.1 Basic Equations......Page 317
14.2
MATLAB Functions Used......Page 320
15.1 Basic Equations......Page 343
15.2 MATLAB Functions Used......Page 346
16.1 Basic Equations......Page 372
16.2 MATLAB Functions Used......Page 376
17.1 Applications of Finite Elements in Other Areas......Page 402
17.2 Basic Equations of the Fluid Flow 1D Element......Page 403
17.3 MATLAB Functions Used in the Fluid Flow 1D Element......Page 405
Answers to Problems......Page 409
Contents of the Accompanying CD-ROM......Page 429
References......Page 407
Index......Page 431
