Eigensolution for Adjacency and Laplacian Matrices of Large Repetitive Structural Models


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

2 Department of Civil Engineering,Tabriz University


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.