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An efficient analysis of repetitive structures generated by graph products

✍ Scribed by A. Kaveh; H. Rahami

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
240 KB
Volume
84
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

In this paper, an efficient method is developed for the analysis of regular structures. A structure is called regular if its model can be formed by a graph product. Here, instead of direct solution of the equations corresponding to a regular structure or finding the inverse of the stiffness matrix directly, modal analysis is used, and eigenvectors are employed for calculating the displacements and then internal forces of the structures. For this purpose, first an efficient method is developed for calculating the eigenvectors of the product graphs, and then a method is presented for using these eigenvectors for evaluating the displacements of a structure. Copyright © 2010 John Wiley & Sons, Ltd.

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