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Application of genetic algorithms in multi-objective optimization in room acoustics

In the paper, a problem of proper, optimum distribution of an acoustic absorption materials on the room’s boundaries, to obtain desirable acoustic pressure level has been presented. Acoustic pressure distribution inside of a room can be described using modal analysis assumptions. Multi-objective function was created applying room’s frequency response function and costs of absorption material distribution. Impedance values on each boundary were chosen as design variables. Search of the criteria minimum of the objective function, using genetic algorithm, has been conducted. As the result Pareto optimal solution i.e. set of material with the specific normal-absorption coefficient, properly distributed on boundaries has been found.

APPLICATION OF GENETIC ALGORITHMS TO MULTI-OBJECTIVE OPTIMIZATION IN ROOM ACOUSTICS

The problem of optimizing the distribution of acoustic absorption material on the boundaries of a closed room is presented. Modal analysis was used to describe the acoustic pressure distribution in the room. A multi-objective objective function was defined using the room’s frequency response and the cost function for the distribution of absorption material.

Impedance values on individual room boundaries were selected as decision variables. A genetic algorithm was used to search for the minimum of individual criteria in the objective function. As a result, a set of Pareto optimal solutions was obtained, i.e., a system of material with a specific sound absorption coefficient distributed appropriately on the room boundaries.

1. INTRODUCTION

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