Optimal location of actuators for control of a 2-D structural acoustic model

We consider optimal reduction of the noise field inside a 2-D acoustic cavity by investigating optimal location of actuators. The underlying physical model consists of a rectangular cavity surrounded on 3 sides by hard walls and on one side by a flexible beam. The control strategy is to employ piezoceramic patches that induce mechanical vibrations in the beam which in turn affect the interior noise field by the acoustic-structure interactions. Speakers which generate a secondary noise source are also used as control devices. We present the physical model, its numerical approximation and control strategy, and demonstrate by numerical examples the effectiveness of the controls and their dependence on their location.