Computational Structural Analysis and Finite Element Methods

✍ Scribed by A. Kaveh (auth.)

Publisher: Springer International Publishing
Year: 2014
Tongue: English
Leaves: 445
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xvi
Basic Definitions and Concepts of Structural Mechanics and Theory of Graphs....Pages 1-37
Optimal Force Method: Analysis of Skeletal Structures....Pages 39-99
Optimal Displacement Method of Structural Analysis....Pages 101-135
Ordering for Optimal Patterns of Structural Matrices: Graph Theory Methods....Pages 137-186
Ordering for Optimal Patterns of Structural Matrices: Algebraic Graph Theory and Meta-heuristic Based Methods....Pages 187-214
Optimal Force Method for FEMs: Low Order Elements....Pages 215-280
Optimal Force Method for FEMS: Higher Order Elements....Pages 281-339
Decomposition for Parallel Computing: Graph Theory Methods....Pages 341-376
Analysis of Regular Structures Using Graph Products....Pages 377-406
Simultaneous Analysis, Design and Optimization of Structures Using Force Method and Supervised Charged System Search....Pages 407-432

✦ Subjects

Structural Mechanics; Graph Theory; Computational Science and Engineering; Computational Intelligence

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