The development and solution are presented of the differential equations of motion of a system of n-elastically connected parallel beams. Using the results developed for the general n-beam system, the particular case of a two beam system was analyzed in detail. The frequencies and associated mode shapes for various support conditions are presented explicitly. Vibration experiments were performed in order to ascertain the degree of applicability of the theory. It was found that at least up to the eighth mode, reasonably good agreement obtains.