Direct component modal synthesis technique for system dynamic analysis

Abstract

A method for substructure modal synthesis to determine the modal parameters of a structure is investigated. The order of the solution matrix does not depend on the number of substructure modes used. Instead, it depends only on the number of connections between substructures. The eigensolution determined by this method is exact. Since the system dynamic matrix equation is not needed in this method, numerical computations required for the solution are drastically reduced. The eigensolutions of the system in any frequency range can be obtained independently. Computation is reduced because lower or higher eigensolutions outside the interested frequency range are not required to be calculated. The results obtained by this technique and the analytical method are compared, and they are identical.