Study on model reduction for position optimization of acoustic black holes

Noise radiation of plate structures is a common problem with the design of machines in mechanical engineering. Noise can be reduced bydesigning passive damping measures. One of this measures can be the application of an ‘acoustic black hole’ (ABH). The ABH is a targetedadaptation of the thickness of the plate-like structures to direct the acoustically critical bending waves to a certain region -- the acoustic blackhole. There, an applied damping material can dissipate the vibration energy very efficiently. A major challenge in design of this measure is to find an optimal position of the ABH. Optimization can be a tedious task, especially for complexindustrial geometries where the equations of motion can have millions degrees of freedom. This contribution shows a study on a generic rectangular plate how model reduction can help to reduce the computational costs for this positionoptimization: A finite element model of a plate that contains an acoustic black hole is shape parametrized, such that the position of the ABH canbe arbitrarily chosen. For each design iteration, a reduction basis is computed. The model is then reduced by applying a Galerkin reduction withthis reduction basis. It is shown if a speedup in computation of the mean squared velocity levels can be gained by this workflow. The contributionconcludes with the assessment of speedup times and accuracy of the reduced model.     «

Noise radiation of plate structures is a common problem with the design of machines in mechanical engineering. Noise can be reduced bydesigning passive damping measures. One of this measures can be the application of an ‘acoustic black hole’ (ABH). The ABH is a targetedadaptation of the thickness of the plate-like structures to direct the acoustically critical bending waves to a certain region -- the acoustic blackhole. There, an applied damping material can dissipate the vibration energy very e...     »