Analysis of repetitive and near-repetitive structures by transformation to equivalent circulant structures. Issue 2 (18th April 2017)

• Record Type: Journal Article
• Authors: Kaveh, A.; Rahami, H.; Jodaki, A.
• Is Part Of: Engineering computations. Volume 34:Issue 2(2017)
• Page Start: 343
• Page End: 363
• Publication Date: 2017-04-18
• Subjects: Circulant matrix -- Inverse -- Near-repetitive structure -- Repetitive structure -- Stiffness matrix; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-01-2016-0032
• Languages: English
• ISSNs: 0264-4401

Abstract

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.