ENGLISH

Computational Structural Analysis and Finite Element Methods

By A. Kaveh (auth.)

Book information

Publisher
Springer International Publishing
Year
2014
ISBN
978-3-319-02963-4, 978-3-319-02964-1
DOI
10.1007/978-3-319-02964-1
Language
english
Format
PDF
Filesize
15 MB (15999188 bytes)
Edition
1
Pages
432\445
Time added
2014-01-18 08:00:00
Structural Mechanics; Graph Theory; Computational

Description

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.

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