An efficient analysis of repetitive structures generated by graph products |
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| Authors: | A Kaveh H Rahami |
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| Affiliation: | 1. Centre of Excellence for Fundamental Studies in Structural Engineering, Department of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran‐16, Iran;2. Faculty of Engineering, University of Tehran, Tehran, Iran |
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| 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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| Keywords: | regular structures analysis graph products Cartesian product strong Cartesian product direct product lexicographic product |
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