Optimization Design for Minimization of Sound Radiation from Thin Plate Based on Acoustic Design Sensitivity Analysis

Abstract

In this paper, optimization design for minimization sound radiation from thin plate based on ADS (Acoustic Design Sensitivity) analysis is studied. Firstly, the velocity distribution of structure surface is solved by analytical method and the surface sound pressure is computed by Rayleigh integral respectively. The sound radiation power of structure can be expressed as a positive definite quadratic form of the Hermitian by impedance matrix. Then, the relationship between the sound radiation power and thickness of thin plate is analyzed. The ADS analysis of thin plate can be translated into the analysis of structure dynamic sensitivity and impedance matrix sensitivity. Finally, optimization design for sound power minimization of thin plate base on the gradient-based optimization algorithms is presented. Thicknesses are chosen as design variables. Taking a simple supported thin plate as a simulation example, the results show the validity of the presented method and give the optimal design of thin plate.