Topology Optimization of a Constrained Layer Damping Plate Coupled with an Acoustical Cavity

An acoustical topology optimization of a constrained layer damping (CLD) plate coupled with a rigid acoustical cavity is presented to minimize the sound radiation power. A mathematical model is developed to simulate the sound radiation based on the theories of the finite element and boundary element methods together. The model is integrated with the acoustical topology optimization approach, which utilizes the genetic algorithm with an elitist strategy. The obtained results demonstrate the effectiveness of the proposed approach in attenuating the sound radiation power and the sound pressure inside the acoustical cavity simultaneously by proper layout of the CLD materials. Furthermore, experimental verification is carried out by manufacturing topology optimized CLD/plate and monitoring the sound pressure in the acoustical cavity. The experimental results are a good match with the predictions of the mathematical model. The study shows that the proposed acoustical topology optimization approach can be an effective tool in the design of a wide variety of critical structures, which is lightweight and operates quietly, such as the panels in the vehicle body and aircraft cabin.