Realization of nonreciprocal acoustic energy transfer using an asymmetric strong nonlinear vibroacoustic system

Abstract

In this paper, an asymmetric vibroacoustic system that can passively realize nonreciprocal transmission of acoustic energy is reported. This experimental system consists of a waveguide, a strongly nonlinear membrane, and three acoustic cavities with different sizes. The theoretical modeling of the system is verified by experiments, and parametric analysis is also carried out. These intensive studies reveal the nonreciprocal transmission of acoustic energy in this prototype system. Under forward excitation, internal resonance between the two nonlinear normal modes of the vibroacoustic system occurs, and acoustic energy is irreversibly transferred from the waveguide to the nonlinear membrane. However, under backward excitation, there is no internal resonance in the system. Energy spectra and wavelet analysis are used to highlight the mechanism of nonreciprocal transfer of acoustic energy. Consequently, nearly unidirectional (preferential) transmission of acoustic energy transfer is shown by this system. The nonreciprocal acoustic energy transfer method illustrated in this paper provides a new way to design the odd acoustic element.

Keywords

vibroacoustic system / acoustic nonreciprocity / nonlinear normal mode / transient resonance capture

References

[1] NassarH, Yousefzadeh B, FleuryR, et al. Nonreciprocity in acoustic and elastic materials. Nat Rev Mater. 2020;5:667-685.

[2] LiangB, YuanB, ChengJ. Acoustic diode: rectification of acoustic energy flux in one-dimensional systems. Phys Rev Lett. 2009;103:104301.

[3] LiangB, GuoXS, TuJ, ZhangD, ChengJC. An acoustic rectifier. Nat Mater. 2010;9:989-992.

[4] NassarH, XuXC, NorrisAN, Huang GL. Modulated phononic crystals: non-reciprocal wave propagation and Willis materials. J Mech Phys Solids. 2017;101:10-29.

[5] NassarH, ChenH, NorrisAN, Huang GL. Quantization of band tilting in modulated phononic crystals. Phys Rev B: Condens Matter Mater Phys. 2018;97:014305.

[6] FleuryR, SounasDL, SieckCF, Haberman MR, AlùA. Sound isolation and giant linear nonreciprocity in a compact acoustic circulator. Science. 2014;343(6170):516-519.

[7] KhanikaevAB, FleuryR, MousaviSH, Alù A. Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice. Nat Commun. 2015;6(1):8260.

[8] KordA, Tymchenko M, SounasDL, KrishnaswamyH, Alù A. CMOS integrated magnetless circulators based on spatiotemporal modulation angular-momentum biasing. IEEE Trans Microwave Theory Tech. 2019;67(7):2649-2662.

[9] ZhuX, ZouX, LiangB, Cheng JC. One-way mode transmission in onedimensional phononic crystal plates. J Appl Phys. 2010;108:124909.

[10] ZhuX, LiJ, ShenC, et al. Non-reciprocal acoustic transmission via space-time modulated membranes. Appl Phys Lett. 2020;116:34101.

[11] FleuryR, SounasD, HabermanMR, Alù A. Nonreciprocal acoustics. Acoust Today. 2015;11:14-21.

[12] FleuryR, SounasDL, AlùA. Subwavelength ultrasonic circulator based on spatiotemporal modulation. Phys Rev B: Condens Matter Mater Phys. 2015;91:174306.

[13] YuC, DuanM, HeW, ChenX, XinF, LuTJ. Grating-like anechoic layer for broadband underwater sound absorption. Int J Mech Syst Dyn. 2022;2(3):265-277.

[14] ChenZ, WangF, ChengS, Wu G. Localized MFS for threedimensional acoustic inverse problems on complicated domains. Int J Mech Syst Dyn. 2022;2(1):143-152.

[15] GuZ, HuJ, LiangB, Zou X, ChengJ. Broadband non-reciprocal transmission of sound with invariant frequency. Sci Rep. 2016;6:19824.

[16] YuanB, LiangB, TaoJ, ZouX, ChengJ. Broadband directional acoustic waveguide with high efficiency. Appl Phys Lett. 2012;101:043503.

[17] LiangB, ZouX, YuanB, Cheng J. Frequency-dependence of the acoustic rectifying efficiency of an acoustic diode model. Appl Phys Lett. 2010;96:233511.

[18] LiY, TuJ, LiangB, Guo XS, ZhangD, ChengJC. Unidirectional acoustic transmission based on source pattern reconstruction. J Appl Phys. 2012;112:064504.

[19] ZhuYF, ZouXY, LiangB, Cheng JC. Acoustic one-way open tunnel by using metasurface. Appl Phys Lett. 2015;107:113501.

[20] LiuC, DuZ, SunZ, GaoH, GuoX. Frequency-preserved acoustic diode model with high forward-power-transmission rate. Phys Rev Appl. 2015;3:064014.

[21] BoechlerN, Theocharis G, DaraioC. Bifurcation-based acoustic switching and rectification. Nat Mater. 2011;10:665-668.

[22] WangY, Yousefzadeh B, ChenH, NassarH, HuangG, DaraioC. Observation of nonreciprocal wave propagation in a dynamic phononic lattice. Phys Rev Lett. 2018;121:194301.

[23] DarabiA, FangL, MojahedA, Fronk MD, VakakisAF, LeamyMJ. Broadband passive nonlinear acoustic diode. Phys Rev B: Condens Matter Mater Phys. 2019;99:214305.

[24] MojahedA, BunyanJ, TawfickS, Vakakis AF. Tunable acoustic nonreciprocity in strongly nonlinear waveguides with asymmetry. Phys Rev Appl. 2019;12:034033.

[25] VakakisAF, Gendelman OV, BergmanLA, McFarlandDM, Kerschen G, LeeYS. Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems. Springer-Verlag;2008.

[26] BunyanJ, MooreKJ, MojahedA, et al. Acoustic nonreciprocity in a lattice incorporating nonlinearity, asymmetry, and internal scale hierarchy: experimental study. Phys Rev E. 2018;97:052211.

[27] FangX, WenJ, ChengL, Li B. Bidirectional elastic diode with frequency-preserved nonreciprocity. Phys Rev Appl. 2021;15:054022.

[28] LepriS, CasatiG. Asymmetric wave propagation in nonlinear systems. Phys Rev Lett. 2011;106:164101.

[29] CochelinB, HerzogP, MatteiP-O. Experimental evidence of energy pumping in acoustics. C R Méc. 2006;334:639-644.

[30] BelletR, Cochelin B, HerzogP, MatteiPO. Experimental study of targeted energy transfer from an acoustic system to a nonlinear membrane absorber. J Sound Vib. 2010;329:2768-2791.

[31] BrykPY, Côte R, BellizziS. Targeted energy transfer from a resonant room to a hybrid electro-acoustic nonlinear membrane absorber: numerical and experimental study. J Sound Vib. 2019;460:114868.

[32] BelletR, Cochelin B, CôteR, MatteiPO. Enhancing the dynamic range of targeted energy transfer in acoustics using several nonlinear membrane absorbers. J Sound Vib. 2012;331:5657-5668.

[33] ShaoJ, Cochelin B. Theoretical and numerical study of targeted energy transfer inside an acoustic cavity by a non-linear membrane absorber. Int J Non-Linear Mech. 2014;64:85-92.

[34] ChauvinA, Monteil M, BellizziS, CôteR, HerzogP, PachebatM. Acoustic characterization of a nonlinear vibroacoustic absorber at low frequencies and high sound levels. J Sound Vib. 2018;416:244-257.

[35] ShaoJ, LuoQ, DengG, et al. Experimental study on influence of wall acoustic materials of 3D cavity for targeted energy transfer of a nonlinear membrane absorber. Appl Acoust. 2021;184:108342.

[36] ShaoJ, ZhaoH, YangJ, Luo Q, WuX. Research on suppressing radiation noise of plate inside acoustic cavity based on targeted energy transfer of nonlinear energy sink. J Braz Soc Mech Sci Eng. 2023;45:220.

[37] JinJM, XieTW, ChengH, Xiao YP, McFarlandDM, LuHC. Modeling and experimental study of non-reciprocal acoustic energy transfer in vibro-acoustic duffing oscillator. Acta Phys Sin. 2022;71(10):296-304.

[38] PierceAD. Acoustics: An Introduction to its Physical Principles and Applications. McGraw-Hill;1981:198-200.

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