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Finding the distribution of vibro-acoustic energy in complex built-upstructures in the mid-to-high frequency regime is a difficult task. Inparticular, structures with large variation of local wavelengths and/orcharacteristic scales pose a challenge referred to as the mid-frequencyproblem. Standard numerical methods such as the finite element method (FEM)scale with the local wavelength and quickly become too large even for moderncomputer architectures. High frequency techniques, such as statistical energyanalysis (SEA), often miss important information such as dominant resonancebehaviour due to stiff or small scale parts of the structure. Hybrid methodscircumvent this problem by coupling FEM/BEM and SEA models in a given built-upstructure. In the approach adopted here, the whole system is split into anumber of subsystems which are treated by either FEM or SEA depending on thelocal wavelength. Subsystems with relative long wavelengths are modelled usingFEM. Making a diffuse field assumption for the wave fields in the short wavelength components, the coupling between subsystems can be reduced to a weightedrandom field correlation function. The approach presented results in anSEA-like set of linear equations which can be solved for the mean energies inthe short wavelength subsystems.

A hybrid approach for predicting the distribution of vibro-acoustic energy in complex built-up structures