FORECASTING METHOD FOR VIBRATIONAL EQUILI BRIA IN COUPLED SYSTEMS USING COUPLING EIGENVALUES AND EIGENVECTORS

Coupled multimodal systems are investigated using a coupling, dimensio nless matrix, revealing the change in the vibrations of isolated syste ms. In the case of two plates coupled by a spring, this matrix present s a single eigenvalue which depends on input mobility. The disturbance of uncoupled systems can then be simply written by projections onto t he associated coupling eigenvector. This approach allows us to charact erize precisely the coupling and to consider important reductions in c omputation time for estimating the energy transfer between coupled vib roacoustic systems. This analysis presents a criterion of weak couplin g. It also offers interesting perspectives for the understanding of th e energetical methods for coupled systems.