Development of a method for optimization calculation of a group of sound-insulating panels for airborn noise protection
DOI:
https://doi.org/10.15587/1729-4061.2019.170079Keywords:
noise, multilayer panels, sound insulation, optimization calculation, calculation algorithm, objective function.Abstract
Various designs and procedures for calculating soundproof panels for protecting premises against airborne noise were considered. These procedures make it possible to calculate single-layer, two-layer and three-layer panels. Single-layer panels may consist of homogeneous solid and thin materials. Two-layer panels may consist of two thin layers of different thickness and an air gap. Three-layer panels can be made of two thin layers of different thickness and a sound-absorbing material between them. These procedures enable calculation and optimization of individual structures of sound-proofing panels independently of each other. The problem of simultaneous penetration of noise from one source into several adjacent rooms was considered. When using the procedures considered in references, maximum effect is unattainable. In this regard, a method of optimization calculation of a group of sound-proofing panels aimed at achievement of the most advantageous value of the objective function was proposed.
The method is based on a random search resting on random distribution of typical structures and procured materials among panels. Choice of the best result is made proceeding from a result of checking fulfillment of limiting conditions.
The following options of the objective function were proposed: the excessive noise load, the total index of noise reduction in rooms, the total cost of sound-proofing panels and the number of panels made. Recommendations were given on the choice of the objective function option taking into account concrete production conditions.
The result of optimization consists in the choice of design of the panel for each room and distribution of available materials among them. Formulation of the optimization problem with various options of the objective function and limitations has been considered. Efficiency of using this method was confirmed by almost 24 % lower cost of panels compared to the separate panel designing using conventional methods.
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