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Slow-sound propagation in aerogel-inspired hybrid structure with backbone and dangling branch

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Abstract

The slow sound wave effect is generally considered to occur in a narrow resonant frequency region or a complex coiling-up space. By numerical simulation method, this research proposes a simple deep subwavelength (less than 1/570 wavelength) structure inspired by aerogels, containing dead-ends attached to the backbone, which can produce a large non-resonant acoustic delay. The results show that the delay is induced by the exchange of acoustic energy at the dangling branches, and intrinsically influenced by the mass ratio of dead-ends to backbone particles. Interestingly, the delay is accumulated along the propagation, which could further slowdown the sound. Similar to aerogels, the propagation velocity in the hybrid structure shows a scaling law with the proportion of backbone particles, whose minimum (with the thickness less than 1/10 wavelength) is as low as 47.3% of that in the structure without dead-ends. The results indicate that the dangling branches show a definite negative effect on the fast propagation, and the sound speed may decrease accompanied with the density in a porous material with dead-ends. This work could facilitate the understanding of the non-resonant slow sound behaviors of the aerogels, and the proposed structure can be designed as basic material for lighter, thinner, and more broadband acoustic metamaterials.

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Funding

This work was funded and performed under the financial support from the National Natural Science Foundation of China (No. 11874284) and the National Key Research and Development Program of China (2017YFA0204600).

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Authors and Affiliations

  1. Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai, 200092, China

    Yuhan Xie, Bin Zhou & Ai Du

Authors
  1. Yuhan Xie
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  2. Bin Zhou
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  3. Ai Du
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Contributions

A.D. conceived the original idea of constructing the slow sound propagation by numerical simulation method. Y.X. coded the methods to generate DLCA-growth-based structure, to obtain the statistics of dead-ends in simulated aerogel structure, and conducted the numerical simulations of sound propagation. A.D. and B.Z. provided the guidance for the consideration of the mechanism. A.D. and Y.X. jointly completed the theoretical derivation. Y.X. wrote the initial manuscript. A.D. and Y.X. revised the manuscript for submission.

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Correspondence to Ai Du.

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Xie, Y., Zhou, B. & Du, A. Slow-sound propagation in aerogel-inspired hybrid structure with backbone and dangling branch. Adv Compos Hybrid Mater 4, 248–256 (2021). https://doi.org/10.1007/s42114-021-00234-z

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