Computational Structural Analysis and Finite Element Methods

Softcover Nachdruck of the original 1. Auflage 2014
ISBN: 978-3-319-35344-9
Verlag: Springer International Publishing

Buch, Englisch, 432 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 674 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Kaveh, A.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computersimulation & Modelle, 3-D Graphik
• Technische Wissenschaften Technik Allgemein Modellierung & Simulation

Inhaltsverzeichnis

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.