MATLAB Guide to Finite Elements: An Interactive Approach

ISBN-13: 9783540706977 / Angielski / Twarda / 2007 / 444 str.

Peter Kattan

Opis

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.

Recenzje

From the reviews:

"This book is written for people studying finite element analysis ... . Additionally, short answers to all problems are provided at the end of the book. On balance, this book written in interactive manner can be very useful to students and engineers dealing with applications of finite element method in structural mechanics." (Oleg Titow, Zentralblatt MATH, Vol. 1057 (8), 2005)

"MATLAB is a popular programming platform in engineering education for its intuitive syntax, graphic visualization, facility with vector and matrix operations, and wide variety of add-on toolboxes available for specific applications. ... is most appropriate as a course resource on practical implementation of finite elements for mechanical engineering undergraduate students who have either already taken or are concurrently taking an introductory course in solid mechanics. ... The book's style is straightforward and easy to comprehend. ... Summing Up: Recommended. Lower- and upper-division undergraduates; professionals." (M. R. King, CHOICE, Vol. v4 (3), November, 2007)

From the reviews of the second edition:

"This book constitutes the numerical implementation of finite element analysis using the computer program MATLAB. ... Problems from linear elastic structure mechanics are used throughout the book. The book is very useful to both students and researchers in engineering." (V. Leontiev, Zentralblatt MATH, Vol. 1114 (16), 2007)

"The book is intended as a guide to writing finite element programs in MATLAB and understanding the main steps in a finite element analysis. The book is well written and very easy to read by students ... . The author succeeded in providing a valuable tool to help engineering students learn the main steps of finite element analysis using MATLAB." (Slimane Adjerid, Siam Review, Vol. 50 (3), 2008)

Spis treści

The Spring Element.- The Linear Bar Element.- The Quadratic Bar Element.- The Plane Truss Element.- The Space Truss Element.- The Beam Element.- The Plane Frame Element.- The Grid Element.- The Space Frame Element.- The Linear Triangular Element.- The Quadratic Triangular Element.- The Bilinear Quadrilateral Element.- The Quadratic Quadrilateral Element.- The Linear Tetrahedral (Solid) Element.- The Linear Brick (Solid) Element.- Other Elements.

Blurb

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. 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.