Computational Structural Analysis and Finite Element Methods

This book covers application of graph theory for efficient analysis; the force method extended to finite element analysis; meta-heuristic algorithms applied to ordering; efficient use of symmetry and regularity in structural analysis by force method; and more.

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.

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

Inhalt
From the Contents: Basic concepts of structural analysis and graph theory.- Optimal force method of structural analysis.- Optimal displacement method of structural analysis.- Ordering for optimal patterns of structural matrices: graph theory methods.