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Analysis of repetitive and near-repetitive structures by transformation to equivalent circulant structures

A. Kaveh (Department of Civil Engineering, Iran University of Science and Technology, Tehran, Iran)
H. Rahami (Department of Civil Engineering, University of Tehran, Tehran, Iran)
A. Jodaki (Department of Civil Engineering, Iran University of Science and Technology, Tehran, Iran)

Engineering Computations

ISSN: 0264-4401

Article publication date: 18 April 2017

108

Abstract

Purpose

There are many structures that have a repetitive pattern. If a relationship can be established between a repetitive structure and a circulant structure, then the repetitive structure can be analyzed by using the properties of the corresponding circulant structure. The purpose of this paper is to develop such a transformation.

Design/methodology/approach

A circulant matrix has certain properties that can be used to reduce the complexity of the analysis. In this paper, repetitive and near-repetitive structures are transformed to circulant structures by adding and/or eliminating some elements of the structure. Numerical examples are provided to show the efficiency of the present method.

Findings

A transformation is established between a repetitive structure and a circulant structure, and the analysis of the repetitive structure is performed by using the properties of the corresponding circulant structure.

Originality/value

Repetitive and near-repetitive structures are transformed to circulant structures, and the complexity of the analysis of the former structures is reduced by analyzing the latter structures.

Keywords

Acknowledgements

The second author is grateful to the financial support of the University of Tehran.

Citation

Kaveh, A., Rahami, H. and Jodaki, A. (2017), "Analysis of repetitive and near-repetitive structures by transformation to equivalent circulant structures", Engineering Computations, Vol. 34 No. 2, pp. 343-363. https://doi.org/10.1108/EC-01-2016-0032

Publisher

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Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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