Eigensolution for Adjacency and Laplacian Matrices of Large Repetitive Structural Models

نویسندگان
Kaveh, A. ID 1
Taghizadieh, N. ID 2
Nouri, M. ID 3

1 Department of Civil Engineering,Iran University of Science and Technology

2 Department of Civil Engineering,Tabriz University

3 Department of Civil Engineering,Tabriz University

doi
چکیده

Many structural models such as grids, barrel vaults, trusses and frames with repetitive units, known as regular structures, have structural matrices in the form of M = F(B; A;BT ). In this paper, a simple and efficient method is presented for calculating the eigenvalues of the adjacency and Laplacian matrices of regular structures. These eigenvalues can be used in studying the combinatorial properties of these structures. Examples are included to show the accuracy of the presented approach.

کلیدواژه‌ها
Canonical forms, Tri-diagonal, Eigensolution, Adjacency matrices, Laplacian matrices, Repetitive structural models