Structural Mechanics: Graph and Matrix Methods 3rd edition / Edition 3

Structural Mechanics: Graph and Matrix Methods 3rd edition / Edition 3

by A. Kaveh
ISBN-10:
0863803040
ISBN-13:
9780863803048
Pub. Date:
08/01/2004
Publisher:
Research Studies Press Limited

Hardcover

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Overview

Structural Mechanics: Graph and Matrix Methods 3rd edition / Edition 3

Professor Kaveh, in this third edition of his book, Structural Mechanics: Graph and Matrix Methods, has updated and considerably expanded the previous edition. It combines the concepts of graph theory and matrix algebra to obtain powerful tools for the efficient analysis of skeletal structures. Graph-theoretical concepts are developed and applied to the construction of highly sparse structural matrices. For efficient handling, the non-zero entries of these matrices are given special patterns by powerful ordering algorithms, developed by the author. An optimal analysis of skeletal structures is shown to be feasible, whether the force method or the displacement approach is employed. It provides a thorough study of the topological properties of structures. In this new edition, efficient approaches are developed for the analysis of large-scale systems. The concepts presented are applicable not only to skeletal structures: they can equally be used for the analysis of other systems such as hydraulic and electrical networks.Key Features · The concepts and theorems of graph theory necessary for the structural engineering problems are presented in a concise and illustrative manner. · Complicated examples are described in a user friendly approach · Some useful exercises are added to the previous ones. Contents Chapter 1: Basic Concepts and Definitions of Graph Theory Chapter 2: Topological Properties of Skeletal Structures Chapter 3: Rigidity of Skeletal Structures Chapter 4: Network Formulation of Structural Analysis Chapter 5: Matrix Displacement Method Chapter 6: Matrix Force Method Chapter 7: Ordering for Bandwidth and Profile Optimisation Chapter 8: Conditioning of Structural Matrices Chapter 9: Matroids and Skeletal Structures Chapter 10: A Graph Theoretical Approach for Configuration Chapter 11: Graph Symmetry for Eigensolution of Dynamic Systems References Solutions of Selected Exercises Index Index of Symbols

Product Details

ISBN-13: 9780863803048
Publisher: Research Studies Press Limited
Publication date: 08/01/2004
Series: Computational Structures Technology Ser.
Pages: 450
Product dimensions: 6.30(w) x 9.06(h) x (d)

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