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Optimization of impedance boundary conditions for an area with harmonic vibroacoustic disturbance

The problem of optimizing the placement of porous absorbing material with complex acoustic impedance on the boundaries of an area containing a harmonic vibroacoustic source is presented. Modal analysis, taking into account mode coupling, was used to describe the acoustic pressure distribution.Then, the acoustic pressure at any point can be represented as the sum of products of eigenfunctions and time components, i.e., modal amplitudes [6], which were used to define a multi-objective objective function. The impedance values of the material on individual room boundaries were chosen as decision variables.
A genetic algorithm was used to search for non-dominated solutions [5].
As a result, a set of Pareto-optimal solutions was obtained. In practice, one often encounters a situation where a device, machine, or other vibrating object (source) is located in a room (enclosed area), emitting a vibroacoustic wave. This source is often characterized by the fact that one frequency dominates the spectrum of the emitted wave, corresponding to the vast majority of the acoustic energy of the disturbance. At the same time, vibroacoustic sources (…)

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Source: Logistyka Magazine

Optimization of impedance boundary conditions for an area with harmonic vibroacoustic disturbance – PDF file for download