Abstract
This paper describes new vibration analysis methods for continuous bodies using the modal analysis. The substructure synthesis method is often used to consider the coupled vibration. The substructure synthesis method adds substructures. In contrast, the proposed methods subtract substructures from one structure, or change the characteristics of several parts of one structure. Because the proposed methods use only the vibration modes of the original one structure, number of the vibration modes does not increase unless the shape of the continuous body is simple. Based on this new concept, the governing equations of the several examples of the analytical models were derived, and the effectiveness of the proposed method was verified through simulations.
