Dynamic Synthesis of Substructures∗

ABSTRACT

A new approach is presented to synthesize dynamic properties of a system that is composed of multiple degree of freedom subsystems attached to a multiple degree of freedom primary system at several points. Natural frequencies and mode shapes of the combined system are obtained in terms of modal properties of the primary system, subsystems, and their interaction parameters. The present solution is compared to the exact solution as well as approximate solutions obtained by earlier investigators. Derived properties can be used in conjunction with any response spectrum or random vibration formulation, to obtain the deterministic or probabilistic dynamic response of subsystems to any arbitrary excitation.