Design of Sound Absorbing Honeycomb Materials with Geometry of Triply Periodic Minimal Surfaces (TPMS)

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The use of cellular materials with the geometry of triply periodic minimum energy surfaces (TPMES) is proposed for the creation of durable cellular materials with controlled acoustic characteristics. Homogeneous unit cells with the Primitive, Diamond, FRD and Gyroid topologies of different porosity were developed and their acoustic parameters were determined. Using the semi-phenomenological Johnson-Champoux-Allard-Lafarge-Pride model, the sound absorption capacity of materials with this geometry was estimated. It was shown that by varying the size of the unit cell and the thickness of the sample, it is possible to control the acoustic characteristics and the average sound absorption coefficient in the range from 0.2 to 0.8. The reliability of the calculations was confirmed experimentally using additively manufactured samples. The results demonstrate the potential of using TPMES for creating materials with controlled pore geometry to achieve predictable sound absorption characteristics.

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作者简介

E. Sysoev

I.V. Grebenshchikov Institute of Silicate Chemistry of the Russian Academy of Sciences; LETI Saint Petersburg State Electrotechnical University

编辑信件的主要联系方式.
Email: jsysev@gmail.com
俄罗斯联邦, Saint Petersburg; Saint Petersburg

M. Sychov

I.V. Grebenshchikov Institute of Silicate Chemistry of the Russian Academy of Sciences; Saint Petersburg State Institute of Technology (Technical University)

Email: jsysev@gmail.com
俄罗斯联邦, Saint Petersburg; Saint Petersburg

L. Shafigullin

Kazan Federal University

Email: jsysev@gmail.com
俄罗斯联邦, Kazan

S. Dyachenko

I.V. Grebenshchikov Institute of Silicate Chemistry of the Russian Academy of Sciences; Saint Petersburg State Institute of Technology (Technical University)

Email: jsysev@gmail.com
俄罗斯联邦, Saint Petersburg; Saint Petersburg

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2. Fig. 1. (a) - Modelling process of the unit cell of TPPME with Primitive geometry; (b) - 3D models of pores with different geometry of TPPME and parameter t

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3. Fig. 2. (a) - Designed models of sound-absorbing materials with different geometry of TPPME; (b) - printed samples using LCD technology

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4. Fig. 3. Scheme of impedance tube: 1 - sound source; 2 - microphones; 3 - sound absorbing material; 4 - plane wave; 5 - rigid plug

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5. Fig. 4. (a) - Contours of the static permeability field, (b) - contours of the intensity field and (c) - contours of the thermal field inside the pore with Gyroid geometry

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6. Fig. 5. Dependence of acoustic parameters of the JCALP model on porosity for each TPPME structure: (a) - dependence of unit cell porosity on parameter t, dependence of (b) - static viscous and (c) - thermal permeability on porosity, dependence of (d) - viscous, (e) - thermal and (f) - dynamic tortuosity on porosity, dependence of (g) - viscous and (h) - thermal characteristic lengths on porosity

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7. Fig. 6. Contour plot of the sound absorption coefficient as a function of frequency and parameter t for TPPME structures with geometry (a) - Primitive, (b) - Diamond, (c) - FRD, (d) - Gyroid, (e) - character of sound absorption of the studied geometries at t = 0; (f) - dependence of the average sound absorption coefficient on the porosity of the TPPME structure

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8. Fig. 7. Dependence of the average sound absorption coefficient on (a) - sample thickness and (b) - TPPME unit cell parameter

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9. Fig. 8. Comparison of experimental and numerically calculated dependences of the sound absorption coefficient of printed samples

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