Eigensolution for Adjacency and Laplacian Matrices of Large Repetitive Structural Models

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 ecient 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.