New Broadband Metasurface Acoustic Liner Design Method Based on a Schroeder Diffuser Sequence
Publication: Journal of Aerospace Engineering
Volume 35, Issue 4
Abstract
Aeroengine noise, which is the main noise source of modern aircraft, has an inevitable negative effect on the health and life of people. There is a growing need to reduce aeroengine noise. Acoustic liners are crucial components of nacelles to damp aeroengine noise. However, the wide range of engine operating frequencies and narrow installation space of the aeroengine make the design of the traditional acoustic liner with large size and narrow absorption not meet demands. Therefore, the design of a broadband acoustic liner with a compact size is a hot issue to date. In this work, a new broadband metasurface acoustic liner design method is proposed based on the quadratic residual sequence (QRS) that is a typical sequence of Schroeder diffuser sequences. Single-degree-of-freedom (SDOF) liners are permutated by QRS to prove the feasibility of it for broadband sound absorption. In addition, the technique of metasurface is introduced to minimize the thickness of the acoustic liner. Numerical results show that the 50% absorption bandwidth of the QRS liner can be over 10 times than those with linear sequences (LS) in the range of 200 to 1,200 Hz. The thickness of acoustic liner reduces by 87.2% with the application of metasurface. The ratio of the new broadband metasurface acoustic liner thickness to the wavelength at the lowest absorption peak is less than 1.75%, confirming its operation in the deep subwavelength regime. The Fourier transform of the QRS sequence value has the property of constant amplitude, so it can be used to broaden the sound absorption of coupled liners. This work provides a new broadband acoustic liner and, more importantly, may motivate the application of digital sequences to solve broadband sound absorption problems.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is supported by the National Science and Technology Major Project (J2019-IV-0003-0070), the Advanced Aviation Power Innovation Workstation Project (HKCX2019-01-003), and the National Natural Science Foundation of China (Grant No. 12102320).
References
Beck, B. S., N. H. Schiller, and M. G. Jones. 2015. “Impedance assessment of a dual-resonance acoustic liner.” Appl. Acoust. 93 (Jun): 15–22. https://doi.org/10.1016/j.apacoust.2015.01.011.
Chambers, A. T., J. M. Manimala, and M. G. Jones. 2020. “Design and optimization of 3D folded-core acoustic liners for enhanced low-frequency performance.” AIAA J. 58 (1): 206–218. https://doi.org/10.2514/1.J058017.
Chen, C., Z. Du, G. Hu, and J. Yang. 2017. “A low-frequency sound absorbing material with subwavelength thickness.” Appl. Phys. Lett. 110 (22): 221903. https://doi.org/10.1063/1.4984095.
D’Antonio, P., and T. J. Cox. 2000. “Diffusor application in rooms.” Appl. Acoust. 60 (2): 113–142. https://doi.org/10.1016/S0003-682X(99)00054-7.
Farrehi, P. M., B. K. Nallamothu, and M. Navvab. 2016. “Reducing hospital noise with sound acoustic panels and diffusion: A controlled study.” BMJ Qual. Saf. 25 (8): 644–646. https://doi.org/10.1136/bmjqs-2015-004205.
Guo, J., Y. Fang, Z. Jiang, and X. Zhang. 2021. “An investigation on noise attenuation by acoustic liner constructed by Helmholtz resonators with extended necks.” J. Acoust. Soc. Am. 149 (1): 70–81. https://doi.org/10.1121/10.0002990.
Guo, J., X. Zhang, Y. Fang, and R. Fattah. 2018. “Manipulating reflected acoustic wave via Helmholtz resonators with varying-length extended necks.” J. Appl. Phys. 124 (10): 104902. https://doi.org/10.1063/1.5042152.
Hillereau, N., A. Syed, and E. Gutmark. 2005. “Measurements of the acoustic attenuation by single layer acoustic liners constructed with simulated porous honeycomb cores.” J. Sound Vib. 286 (1–2): 21–36. https://doi.org/10.1016/j.jsv.2004.09.029.
Hong, Z., X. Dai, N. Zhou, X. Sun, and X. Jing. 2014. “Suppression of Helmholtz resonance using inside acoustic liner.” J. Sound Vib. 333 (16): 3585–3597. https://doi.org/10.1016/j.jsv.2014.02.028.
Huang, S., X. Fang, X. Wang, B. Assouar, Q. Cheng, and Y. Li. 2019. “Acoustic perfect absorbers via Helmholtz resonators with embedded apertures.” J. Acoust. Soc. Am. 145 (1): 254–262. https://doi.org/10.1121/1.5087128.
Huang, S., E. Zhou, Z. Huang, P. Lei, Z. Zhou, and Y. Li. 2021. “Broadband sound attenuation by metaliner under grazing flow.” Appl. Phys. Lett. 118 (6): 063504. https://doi.org/10.1063/5.0042228.
Huang, S., Z. Zhou, D. Li, T. Liu, X. Wang, J. Zhu, and Y. Li. 2020. “Compact broadband acoustic sink with coherently coupled weak resonances.” Sci. Bull. 65 (5): 373–379. https://doi.org/10.1016/j.scib.2019.11.008.
Huff, D. L. 2013. “NASA Glenn’s contributions to aircraft engine noise research.” J. Aerosp. Eng. 26 (2): 218–250. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000283.
Jiang, X., B. Liang, X. Zou, J. Yang, L. Yin, J. Yang, and J. Cheng. 2016. “Acoustic one-way metasurfaces: Asymmetric phase modulation of sound by subwavelength layer.” Sci. Rep. 6 (1): 1–6. https://doi.org/10.1038/srep28023.
Jing, X., X. Wang, and X. Sun. 2007. “Broadband acoustic liner based on the mechanism of multiple cavity resonance.” AIAA J. 45 (10): 2429–2437. https://doi.org/10.2514/1.27878.
Kaina, N., F. Lemoult, M. Fink, and G. Lerosey. 2015. “Negative refractive index and acoustic superlens from multiple scattering in single negative metamaterials.” Nature 525 (7567): 77–81. https://doi.org/10.1038/nature14678.
Li, J., W. Wang, Y. Xie, B.-I. Popa, and S. A. Cummer. 2016. “A sound absorbing metasurface with coupled resonators.” Appl. Phys. Lett. 109 (9): 091908. https://doi.org/10.1063/1.4961671.
Liang, Z., and J. Li. 2012. “Extreme acoustic metamaterial by coiling up space.” Phys. Rev. Lett. 108 (11): 114301. https://doi.org/10.1103/PhysRevLett.108.114301.
Liu, Y., P. Liu, H. Guo, and T. Hu. 2021. “Effect of a variable-bend slat on tones due to the cove’s self-excited oscillation.” J. Aerosp. Eng. 34 (6): 04021077. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001310.
Ma, X., and Z. Su. 2020. “Development of acoustic liner in aero engine: A review.” Sci. China Technol. Sci. 63 (12): 2491–2504. https://doi.org/10.1007/s11431-019-1501-3.
Mei, J., G. Ma, M. Yang, Z. Yang, W. Wen, and P. Sheng. 2012. “Dark acoustic metamaterials as super absorbers for low-frequency sound.” Nat. Commun. 3 (1): 1–7. https://doi.org/10.1038/ncomms1758.
Melling, T. H. 1973. “The acoustic impendance of perforates at medium and high sound pressure levels.” J. Sound Vib. 29 (1): 1–65. https://doi.org/10.1016/S0022-460X(73)80125-7.
Molerón, M., M. Serra-Garcia, and C. Daraio. 2016. “Visco-thermal effects in acoustic metamaterials: From total transmission to total reflection and high absorption.” New J. Phys. 18 (3): 033003. https://doi.org/10.1088/1367-2630/18/3/033003.
Nayfeh, A. H., J. E. Kaiser, and D. Telionis. 1975. “Acoustics of aircraft engine-duct systems.” AIAA J. 13 (2): 130–153. https://doi.org/10.2514/3.49654.
Sakagami, K., M. Morimoto, and W. Koike. 2006. “A numerical study of double-leaf microperforated panel absorbers.” Appl. Acoust. 67 (7): 609–619. https://doi.org/10.1016/j.apacoust.2005.11.001.
Sakagami, K., M. Morimoto, M. Yairi, and A. Minemura. 2008. “A pilot study on improving the absorptivity of a thick microperforated panel absorber.” Appl. Acoust. 69 (2): 179–182. https://doi.org/10.1016/j.apacoust.2006.09.008.
Sanada, A., and N. Tanaka. 2013. “Extension of the frequency range of resonant sound absorbers using two-degree-of-freedom Helmholtz-based resonators with a flexible panel.” Appl. Acoust. 74 (4): 509–516. https://doi.org/10.1016/j.apacoust.2012.09.012.
Schroeder, M. R. 1979. “Binaural dissimilarity and optimum ceilings for concert halls: More lateral sound diffusion.” J. Acoust. Soc. Am. 65 (4): 958–963. https://doi.org/10.1121/1.382601.
Selamet, A., and I. Lee. 2003. “Helmholtz resonator with extended neck.” J. Acoust. Soc. Am. 113 (4): 1975–1985. https://doi.org/10.1121/1.1558379.
Tam, C. K., H. Ju, M. G. Jones, W. R. Watson, and T. L. Parrott. 2005. “A computational and experimental study of slit resonators.” J. Sound Vib. 284 (3–5): 947–984. https://doi.org/10.1016/j.jsv.2004.07.013.
Tang, Y., S. Ren, H. Meng, F. Xin, L. Huang, T. Chen, C. Zhang, and T. J. Lu. 2017. “Hybrid acoustic metamaterial as super absorber for broadband low-frequency sound.” Sci. Rep. 7 (1): 1–11. https://doi.org/10.1038/srep43340.
Voutsinas, S. G. 2007. “Aeroacoustics research in Europe: The CEAS-ASC report on 2005 highlights.” J. Sound Vib. 299 (3): 419–459. https://doi.org/10.1016/j.jsv.2006.04.032.
Wang, X., D. Mao, W. Yu, and Z. Jiang. 2015. “Sound barriers from materials of inhomogeneous impedance.” J. Acoust. Soc. Am. 137 (6): 3190–3197. https://doi.org/10.1121/1.4921279.
Wu, G., S. Li, H. Zhao, X. Yang, and E. Jiaqiang. 2017. “Experimental and frequency-domain study of acoustic damping of single-layer perforated plates.” Aerosp. Sci. Technol. 69 (Oct): 432–438. https://doi.org/10.1016/j.ast.2017.07.010.
Yang, W., J. An, C. K. Chua, and K. Zhou. 2020a. “Acoustic absorptions of multifunctional polymeric cellular structures based on triply periodic minimal surfaces fabricated by stereolithography.” Virtual Phys. Prototyping 15 (2): 242–249. https://doi.org/10.1080/17452759.2020.1740747.
Yang, W., X. Bai, W. Zhu, R. Kiran, J. An, C. K. Chua, and K. Zhou. 2020b. “3D printing of polymeric multi-layer micro-perforated panels for tunable wideband sound absorption.” Polymers 12 (2): 360. https://doi.org/10.3390/polym12020360.
Zhao, H., Y. Wang, J. Wen, Y. W. Lam, and O. Umnova. 2018. “A slim subwavelength absorber based on coupled microslits.” Appl. Acoust. 142 (Dec): 11–17. https://doi.org/10.1016/j.apacoust.2018.08.004.
Zhu, Y., X. Fan, B. Liang, J. Cheng, and Y. Jing. 2017. “Ultrathin acoustic metasurface-based Schroeder diffuser.” Phys. Rev. X 7 (2): 021034. https://doi.org/10.1103/PhysRevX.7.021034.
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Published In
Journal of Aerospace Engineering
Volume 35 • Issue 4 • July 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Nov 30, 2021
Accepted: Mar 8, 2022
Published online: Apr 26, 2022
Published in print: Jul 1, 2022
Discussion open until: Sep 26, 2022
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