Mechanical-Acoustic Multi-Objective Optimization of Honeycomb Plate

At present, optimal design against noise caused by vibrating structures is often formulated with the objective of minimizing sound power or sound pressure. In this paper, a mechanical and acoustic multi-objective optimization method is proposed aimed at minimizing static, dynamic and acoustic response of a honeycomb sandwich panel under given mass constraint. The multi-objective is defined as a weighted sum of static deflection, vibration response and sound power from the norm method. The static and dynamic responses are calculated using FEM and sound power radiated by structures is calculated using discrete Rayleigh integral. The sensitivities of static, dynamic and acoustic response are formulated to improve efficiency by the adjoint method. Numerical examples on the honeycomb plate are considered, which indicate that the proposed method can improve acoustical property without weakening mechanical property.