Path sensitivity and uncertainty propagation in SEA

This work addresses the differentiation of the inverse coupling matrix with respect to a coupling or damping loss factor. It applies to two central questions in conjunction with statistical energy analysis (SEA). The first concerns optimization problems for which a sensitivity factor is proposed, based on a simple Taylor series. The factor shows the sensitivity of the vibrational energy flow to a certain coupling loss factor and hence the associated path. cond question where the differentiated inverse coupling matrix applies is the investigation of the propagation of uncertainties in input quantities in a statistical energy analysis. This enables a variance calculation for primary the energies of the subsystems. The approach can be used to establish a variation range for the results from an SEA analysis. c configurations with different transmission paths are investigated employing numerical implementations of the approaches. Both procedures are applicable for systems of arbitrary size.