Evaluation of acoustic scattering characteristics and visual preference of Sierpinski fractal structures
Diffusive surfaces should be optimally designed for acoustic and aesthetic purposes.Combining with parametric design methods,the modular structure of Sierpinski fractals has the potential to generate individual interfaces flexibly.However,there is a lack of comprehensive quantitative research on the acoustic properties and visual benefits of fractals.In this paper,we propose a broadband design method for acoustic diffusion structures based on the construction rules of the Sierpinski fractal.Focusing on the shape,height,and arrangement randomness of modules,the influence on evaluation is investigated from the perspective of both acoustic performance and visual preference.Numerical simulations using the boundary element method(BEM)combined with experimental measurement validation,a subjective investigation and physiological feedback combined with virtual reality(VR)technology,and a multi-objective comprehensive analysis are used to explore the influence mechanism and the optimal threshold range of fractal design parameters.The results suggest that fractal structures with various horizontal sizes and vertical heights of modules improve acoustic scattering performance compared to the conventional quadratic residual diffuser(QRD)of the same volume,especially in the mid-low frequency range below 1 kHz.In addition,the use of mid-high complexity(three iterations)and low randomness truncated Sierpinski triangular pyramid fractals in meeting rooms would help enhance the visual preferences of occupants.
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