Inhaltsangabe
This is a book for people who love finite elements and MATLAB I . 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 manipulationsespecially when applying the boundary conditions. In particular the steps ofthe finite element method are emphasized in this book. The reader will not find ready-made MATLAB programsfor use as blackboxes. Insteadstep-by-stepsolutionsoffiniteelementprob lems are examined in detail using MATLAB. Problems from linearelastic structural mechanics are used throughout the book. The emphasis is not on mass computation or programming, but rather on leaming the finite element method computations and understanding of the underlying concepts. In addition to MATLAB, the MATLAB Symbolic Math 'Ioolbox? is used in Chapters 12, 13, and 14. Many types of finite elements are studied in this book including the spring ele ment, 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 chap ter deals with only one type ofelement. Also each chapter starts with a summary of the basic equations for the elementfollowed by a numberofexamples 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.
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This book 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.
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MATLAB Guide to Finite Elements: An Interactive Approach
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