Title of article
Canonical forms and rotationally repetitive matrices for eigensolution of symmetric structures
Author/Authors
Kaveh, A School of Civil Engineering - Iran University of Science and Technology - Narmak - Tehran, Iran , Rahmani, P School of Civil Engineering - Iran University of Science and Technology - Narmak - Tehran, Iran
Pages
17
From page
192
To page
208
Abstract
In this paper, all canonical forms that exist in the literature for bilateral
symmetry are derived from the formula for rotationally repetitive structures (systems)
considering the rotation angle as 180 degrees. Different nodal numberings lead to different
patterns for matrices associated with bilaterally symmetric structures. This study shows
that all these forms are of the same nature and can be considered as particular forms
of circulant matrices associated with rotationally repetitive structures. Simply put, some
numerical examples are investigated using both the classic approach and the canonical
forms.
Keywords
Canonical forms of matrices , Graphs , Regular structures , Eigenvalues , Laplacian , Bilateral symmetric systems , Rotationally repetitive (circulant) matrices , Dome structures
Journal title
Scientia Iranica(Transactions A: Civil Engineering)
Serial Year
2021
Record number
2681810
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