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Efficient methods leading to highly sparse and banded structural matrices
Application of graph theory for efficient analysis of skeletal structures
Many worked examples and exercises will help the reader to appreciate the theory
Includes supplementary material: sn.pub/extras
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Table of contents (10 chapters)
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Front Matter
About this book
Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.
Authors and Affiliations
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Centre of Excellence for Fundamental Studies in Structural Engineering, School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran
A. Kaveh
Bibliographic Information
Book Title: Computational Structural Analysis and Finite Element Methods
Authors: A. Kaveh
DOI: https://doi.org/10.1007/978-3-319-02964-1
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-02963-4Published: 07 January 2014
Softcover ISBN: 978-3-319-35344-9Published: 23 August 2016
eBook ISBN: 978-3-319-02964-1Published: 11 December 2013
Edition Number: 1
Number of Pages: XVI, 432
Number of Illustrations: 215 b/w illustrations, 90 illustrations in colour
Topics: Solid Mechanics, Graph Theory, Computational Science and Engineering, Computational Intelligence