The vibrational energy flows occurring between a pair of unequal rectangular membranes coupled along a mutual edge are investigated. Since the membranes studied have different properties and form an L shape when coupled this calculation may not be carried out directly, instead requiring some form of approximation. Here, the line coupling is modelled by a series of point couplings with sufficient points to ensure convergence for the frequencies of interest. This L shaped composite membrane model is then perturbed by the addition of a number of random point masses. The effects caused by varying the number and degree of randomness of the attached masses on the ensemble statistics of the combined system are subsequently investigated. The statistics of this ensemble are considered for weak and strong coupling between the membranes and for point and “rain-on-the-roof” type forcing. The existence of energy flow vortices in some ensemble members at some frequencies is noted. Conclusions are drawn for the application of Statistical Energy Analysis (S.E.A.) to coupled two-dimensional subsystems
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