CANONICAL FORMS FOR CALCULATING THE EIGENFREQUENCIES AND BUCKLING LOADS OF SYMMETRIC SPACE TRUSSES

Abstract– For dynamic analysis of structure, the calculation of eigenvalues and eigenvectors is necessary. When the structural models are symmetric, such calculation can be simplified using some of the concepts of graph theory. In this paper, two methods are presented for eigensolution of space Truss. The first method uses a graph model and employs a decomposition and healing process for factorization of the graph model and calculating the eigenvalues of graph. The second approach uses the canonical forms for the construction of submatrices, from which, the eigenvalues can be obtained. Both methods lead to identical results.