The problem reducing of noise radiation represents one of the key problems in the field of acoustics. As a more effective approach to solving it, the use of topological optimization is proposed, the purpose of which is to rebuild the geometry of the structure and change the parameters of the structural material in the selected volume in accordance with specified loads and restrictions. The solution to the problem of noise minimization in mechanoacoustic systems characterized by the presence of sources of harmonic vibrations using a modified solid isotropic material with penalty (SIMP) algorithm is considered. The pressure intensity at the outer boundary of the liquid is used as the objective function, the transition to which allows the use of various types of harmonic sources in applied problems. To take this aspect into account, changes were introduced into the algorithm to allow optimization using range of frequencies. The results of numerical testing of the approach are demonstrated, obtained by solving next problems: minimizing the emitted noise of a steel frame immersed in water under the influence of a periodic force on its wall. For posed problems, optimal distributions of material in the computational domain of the structure were found, which led to a decrease in the average pressure level at the outer boundary of the liquid by 10 dB. In addition, visualizations of the pressure field in the liquid and structure vibrations were obtained before and after the optimization procedure.
Smirnov et al. (Wed,) studied this question.