Structural Mechanics

Graphs and matrix Methods

A. Kaveh - Collection Computational Structures Technology Series

422 pages, parution le 09/09/2004 (3^eme édition)

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Résumé

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.

Readership
M.Sc and Ph.D. levels and advanced courses on structural analysis for B.Sc. level and researchers in structures and applied mathematics.

L'auteur - A. Kaveh

A Kaveh, Iran University of Science and Technology, Tehran

Sommaire

Basic Concepts and Definitions of Graph Theory
Topological Properties of Skeletal Structures
Rigidity of Skeletal Structures
Network Formulation of Structural Analysis
Matrix Displacement Method
Matrix Force Method
Ordering for Bandwidth and Profile Optimisation
Conditioning of Structural Matrices
Matroids and Skeletal Structures
A Graph Theoretical Approach for Configuration Processing
Graph Symmetry for Eigensolution of Dynamic Systems
Solutions to Selected Exercises

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Institute of Physics (IOP)
Auteur(s)	A. Kaveh
Collection	Computational Structures Technology Series
Parution	09/09/2004
Édition	3^eme édition
Nb. de pages	422
Format	16 x 23,5
Couverture	Relié
Poids	770g
Intérieur	Noir et Blanc
EAN13	9780863803048
ISBN13	978-0-86380-304-8