Statistical energy analysis (SEA) is a standard approach to high-frequency vibro-acoustic analysis that relies on a conceptual division of the system into subsystems that are assumed to carry a diffuse field and to be weakly coupled. The weak coupling assumption means that the exchange of energy between subsystems can be described in terms of their uncoupled free vibration modes. In this work, a criterion is derived for assessing the coupling strength in the general case where the subsystems are rigidly coupled and/or via deterministic linear dynamic components. The criterion is elaborated such that it can be directly evaluated from quantities that appear in the SEA power balance. In this process, the hybrid deterministic-SEA approach is employed such that subsystems and connections of arbitrary complexity can be tackled in a rigorous way. In one of its approximate forms, the proposed general coupling strength criterion reduces to the gamma criterion that has appeared in the literature for assessing some special cases of coupling. The criterion is validated with a numerical example involving two diffuse plate subsystems connected via a deterministic beam, whose dynamic behaviour influences the coupling strength.
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