Méthode de prévision des équilibres vibratoires dans les systèmes couplés par utilisation des valeurs propres et des vecteurs propres de couplage

Abstract
Coupled multimodal systems are investigated using a coupling, dimensionless matrix, revealing the change in the vibrations of isolated systems. In the case of two plates coupled by a spring, this matrix presents a single eigenvalue which depends on input mobility. The disturbance of uncoupled systems can then be simply written by projections onto the associated coupling eigenvector. This approach allows us to characterize precisely the coupling and to consider important reductions in computation time for estimating the energy transfer between coupled vibroacoustic systems. This analysis presents a criterion of weak coupling. It also offers interesting perspectives for the understanding of the energetical methods for coupled systems.