Comparing of the analytical investigation with the FEM simulation for minimizing the total radiated sound from a vibrating plate

Abstract

AbstractA theoretical model comprising Active‐Noise‐Control (ANC) systems is created to minimize interfering primary sound radiated from a vibrating simply supported plate with the destructive secondary sound radiated from loudspeakers. In this paper, a global noise reduction at low frequencies is achieved with local control of secondary sources while the most previous studies have already focused on a control of the sound pressure field over a large number of distributed microphones. The ANC systems are placed close to the primary noise. An optimal solution which is assigned to each loudspeaker is derived analytically in terms of the estimated active sound intensities in front of the loudspeakers. In addition, the model is investigated with the Finite‐Element‐Method (FEM). COMSOL Multiphysics is used to simulate the residual sound field by feeding the loudspeakers with the optimal solutions. The analytical results are compared with those results obtained from the FEM simulation. This study proofs the effectiveness of an ANC system and derives the optimal position and the required number of secondary sources to minimize the total radiated sound from a vibrating plate.