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Numerical Methods in Computational Mechanics de Jamshid Ghaboussi

Numerical Methods in Computational Mechanics

Autor Jamshid Ghaboussi, Xiping Steven Wu
en Limba Engleză Paperback – 12 iun 2019
This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.
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Specificații

ISBN-13: 9780367028022
ISBN-10: 0367028026
Pagini: 332
Ilustrații: 200 Illustrations, black and white
Dimensiuni: 178 x 254 x 18 mm
Greutate: 0.68 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press

Cuprins

Review of Matrix Analysis. Review of Methods of Analysis In Structural Mechanics. Solution of System of Linear Equations. Iterative Solution Methods for System of Linear Equations. Conjugate Gradient Methods. Solution Methods for System of Nonlinear Equations. Eigenvalue Solution Methods. Direct Integration of Dynamic Equation of Motion. The Generalized Difference Method.

Recenzii

"This book is a collection of the most relevant numerical methods used in computational mechanics. It is a clear and rigorous presentation of algorithms corresponding to numerical methods for solving systems of linear and nonlinear algebraic equations, for finding eigenvalues and eigenvectors of matrices, and for integration of dynamic equations of motion. This hands-on presentation will certainly be welcomed by users of computational mechanics software interested in gaining a better understanding of the implemented algorithms as well as developers of software. In addition, the book could be used as a textbook for a graduate level course in computational mechanics."
— Corina S. Drapaca, Pennsylvania State University, USA

Descriere

This graduate text also suits software developers in computational mechanics. It explores the numerical algorithms underpinning finite element software, covering all the major numerical methods used in computational mechanics. It runs from the basics of linear algebra and matrix theory to advanced topics, illustrated with numerical examples.