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 isnecessary. When the structural models are symmetric, such calculation can be simplified usingsome of the concepts of graph theory. In this paper, two methods are presented for eigensolution ofspace Truss. The first method uses a graph model and employs a decomposition and healingprocess for factorization of the graph model and calculating the eigenvalues of graph. The secondapproach uses the canonical forms for the construction of submatrices, from which, theeigenvalues can be obtained. Both methods lead to identical results.