Mironov, M., Propagation of a flexural wave in a plate whose thickness decreases smoothly to zero in a finite interval. Sov. Phys. Acoust. 34 (1988), 318–319.
Pelat, A., Gautier, F., Conlon, S.C., Semperlotti, F., The acoustic black hole: A review of theory and applications. J. Sound Vib., 476, 2020, 115316.
Ji, H., Huang, W., Qiu, J., Cheng, L., Mechanics problems in application of acoustic black hole structures. Adv. Mech., 47, 2017, 333.
Krylov, V.V., Localized acoustic modes of a quadratic solid wedge. Mosc. Univ. Phys. Bull. 45 (1990), 65–69.
Krylov, V.V., On the velocities of localized vibration modes in immersed solid wedges. J. Acoust. Soc. Am. 103 (1998), 767–770.
Krylov, V.V., New type of vibration dampers utilising the effect of acoustic'black holes'. Acta Acust united Ac. 90 (2004), 830–837.
O'Boy, D., Krylov, V.V., Damping of flexural vibrations in circular plates with tapered central holes. J. Sound Vib. 330 (2011), 2220–2236.
Deng, J., Zheng, L., Zeng, P., Zuo, Y., Guasch, O., Passive constrained viscoelastic layers to improve the efficiency of truncated acoustic black holes in beams. Mech. Syst. Sig. Process. 118 (2019), 461–476.
Ji, H., Luo, J., Qiu, J., Cheng, L., Investigations on flexural wave propagation and attenuation in a modified one-dimensional acoustic black hole using a laser excitation technique. Mech. Syst. Sig. Process. 104 (2018), 19–35.
Tang, L., Cheng, L., Enhanced acoustic black hole effect in beams with a modified thickness profile and extended platform. J. Sound Vib. 391 (2017), 116–126.
Zhou, T., Cheng, L., A resonant beam damper tailored with acoustic black hole features for broadband vibration reduction. J. Sound Vib. 430 (2018), 174–184.
Feurtado, P.A., Conlon, S.C., Transmission loss of plates with embedded acoustic black holes. J. Acoust. Soc. Am. 142 (2017), 1390–1398.
Ma, L., Cheng, L., Sound radiation and transonic boundaries of a plate with an acoustic black hole. J. Acoust. Soc. Am. 145 (2019), 164–172.
Zhao, L., Conlon, S.C., Semperlotti, F., Broadband energy harvesting using acoustic black hole structural tailoring. Smart Mater. Struct., 23, 2014, 065021.
Ji, H., Liang, Y., Qiu, J., Cheng, L., Wu, Y., Enhancement of vibration based energy harvesting using compound acoustic black holes. Mech. Syst. Sig. Process. 132 (2019), 441–456.
Krylov, V., Geometrical-acoustics approach to the description of localized vibrational modes of an elastic solid wedge. Sov. Phys. Tech. Phys. 25 (1990), 137–140.
Krylov, V., Tilman, F., Acoustic ‘black holes’ for flexural waves as effective vibration dampers. J. Sound Vib. 274 (2004), 605–619.
Guasch, O., Arnela, M., Sánchez-Martín, P., Transfer matrices to characterize linear and quadratic acoustic black holes in duct terminations. J. Sound Vib. 395 (2017), 65–79.
Li, X., Ding, Q., Sound radiation of a beam with a wedge-shaped edge embedding acoustic black hole feature. J. Sound Vib. 439 (2019), 287–299.
O'Boy, D., Krylov, V.V., Vibration of a rectangular plate with a central power-law profiled groove by the Rayleigh-Ritz method. Appl. Acoust. 104 (2016), 24–32.
Tang, L., Cheng, L., Ji, H., Qiu, J., Characterization of acoustic black hole effect using a one-dimensional fully-coupled and wavelet-decomposed semi-analytical model. J. Sound Vib. 374 (2016), 172–184.
Conlon, S.C., Fahnline, J.B., Semperlotti, F., Numerical analysis of the vibroacoustic properties of plates with embedded grids of acoustic black holes. J. Acoust. Soc. Am. 137 (2015), 447–457.
Zhao, L., Semperlotti, F., Embedded acoustic black holes for semi-passive broadband vibration attenuation in thin-walled structures. J. Sound Vib. 388 (2017), 42–52.
Feurtado, P.A., Conlon, S.C., An experimental investigation of acoustic black hole dynamics at low, mid, and high frequencies. J. Vib. Acoust., 138, 2016.
Bowyer, E., Krylov, V.V., Experimental study of sound radiation by plates containing circular indentations of power-law profile. Appl. Acoust. 88 (2015), 30–37.
Bowyer, E., O'Boy, D., Krylov, V.V., Gautier, F., Experimental investigation of damping flexural vibrations in plates containing tapered indentations of power-law profile. Appl. Acoust. 74 (2013), 553–560.
Krylov, V.V., Acoustic black holes: recent developments in the theory and applications. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 61:8 (2014), 1296–1306.
Chong, B.M.P., Tan, L.B., Lim, K.M., Lee, H.P., A review on acoustic black-holes (ABH) and the experimental and numerical study of ABH-featured 3D printed beams. Int. J. Appl. Mech., 9, 2017, 1750078.
Tang, L., Cheng, L., Ultrawide band gaps in beams with double-leaf acoustic black hole indentations. J. Acoust. Soc. Am. 142 (2017), 2802–2807.
Lee, J.Y., Jeon, W., Vibration damping using a spiral acoustic black hole. J. Acoust. Soc. Am. 141 (2017), 1437–1445.
Mohanty, S., Dwivedy, S.K., Linear and nonlinear analysis of traditional and non-traditional piezoelectric vibration absorber with time delay feedback for simultaneous resonance conditions. Mech. Syst. Sig. Process., 161, 2021, 107980.
Georgiadis, F., Vakakis, A.F., McFarland, D.M., Bergman, L., Shock isolation through passive energy pumping caused by nonsmooth nonlinearities. Int. J. Bifurc. Chaos 15 (2005), 1989–2001.
Vakakis, A.F., Gendelman, O.V., Bergman, L.A., McFarland, D.M., Kerschen, G., Lee, Y.S., Nonlinear targeted energy transfer in mechanical and structural systems. 2009, Springer Science & Business Media.
Asadi, K., Yu, J., Cho, H., Nonlinear couplings and energy transfers in micro-and nano-mechanical resonators: intermodal coupling, internal resonance and synchronization. Philos. Trans. Royal Soc. A, 376, 2018, 20170141.
Vorotnikov, K., Starosvetsky, Y., Nonlinear energy channeling in the two-dimensional, locally resonant, unit-cell model. I. High energy pulsations and routes to energy localization. Chaos, 25, 2015, 073106.
Nucera, F., Vakakis, A.F., McFarland, D., Bergman, L., Kerschen, G., Targeted energy transfers in vibro-impact oscillators for seismic mitigation. Nonlinear Dyn. 50 (2007), 651–677.
Nucera, F., Lo Iacono, F., McFarland, D.M., Bergman, L.A., Vakakis, A.F., Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Experimental results. J. Sound Vib. 313:1-2 (2008), 57–76.
Gourc, E., Michon, G., Seguy, S., Berlioz, A., Experimental investigation and design optimization of targeted energy transfer under periodic forcing. J. Vib. Acoust., 136, 2014.
Raze, G., Jadoul, A., Guichaux, S., Broun, V., Kerschen, G., A digital nonlinear piezoelectric tuned vibration absorber. Smart Mater. Struct., 29, 2019, 015007.
C. Richard, D. Guyomar, D. Audigier, H. Bassaler, Enhanced semi-passive damping using continuous switching of a piezoelectric device on an inductor, Smart structures and materials 2000: damping and isolation, International Society for Optics and Photonics, 2000, pp. 288-299.
Lossouarn, B., Deü, J.-F., Kerschen, G., A fully passive nonlinear piezoelectric vibration absorber. Philos. Trans. Royal Soc. A, 376, 2018, 20170142.
Feudo, S.L., Touzé, C., Boisson, J., Cumunel, G., Nonlinear magnetic vibration absorber for passive control of a multi–storey structure. J. Sound Vib. 438 (2019), 33–53.
Silva, T.M., Clementino, M.A., De Marqui Jr, C., Erturk, A., An experimentally validated piezoelectric nonlinear energy sink for wideband vibration attenuation. J. Sound Vib. 437 (2018), 68–78.
Zhang, X., Yu, H., He, Z., Huang, G., Chen, Y., Wang, G., A metamaterial beam with inverse nonlinearity for broadband micro-vibration attenuation. Mech. Syst. Sig. Process., 159, 2021, 107826.
Denis, V., Pelat, A., Touzé, C., Gautier, F., Improvement of the acoustic black hole effect by using energy transfer due to geometric nonlinearity. Int. J. Non-Linear Mech. 94 (2017), 134–145.
Gusev, V.E., Ni, C., Lomonosov, A., Shen, Z., Propagation of flexural waves in inhomogeneous plates exhibiting hysteretic nonlinearity: Nonlinear acoustic black holes. Ultrasonics 61 (2015), 126–135.
Li, H., Touzé, C., Pelat, A., Gautier, F., Kong, X., A vibro-impact acoustic black hole for passive damping of flexural beam vibrations. J. Sound Vib. 450 (2019), 28–46.
Li, H., Touzé, C., Gautier, F., Pelat, A., Linear and nonlinear dynamics of a plate with acoustic black hole, geometric and contact nonlinearity for vibration mitigation. J. Sound Vib., 508, 2021, 116206.
Li, H., Sécail-Géraud, M., Pelat, A., Gautier, F., Touzé, C., Experimental evidence of energy transfer and vibration mitigation in a vibro-impact acoustic black hole. Appl. Acoust., 182, 2021, 108168.
Wang, Y., Du, J., Cheng, L., Power flow and structural intensity analyses of acoustic black hole beams. Mech. Syst. Sig. Process. 131 (2019), 538–553.
Zhang, L., Kerschen, G., Cheng, L., Electromechanical Coupling and Energy Conversion in a PZT-Coated Acoustic Black Hole Beam. Int. J. Appl. Mech., 12, 2020, 2050095.
Detroux, T., Renson, L., Masset, L., Kerschen, G., The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems. Comput. Methods Appl. Mech. Eng. 296 (2015), 18–38.
Chang, S.-Y., Studies of Newmark method for solving nonlinear systems: (I) basic analysis. J. Chin. Inst. Eng. 27:5 (2004), 651–662.
Seydel, R., Practical bifurcation and stability analysis. 2009, Springer Science & Business Media.
Gatti, G., Brennan, M.J., Kovacic, I., On the interaction of the responses at the resonance frequencies of a nonlinear two degrees-of-freedom system. Phys. D: Nonlinear Phenomena 239:10 (2010), 591–599.
Starosvetsky, Y., Gendelman, O.V., Response regimes of linear oscillator coupled to nonlinear energy sink with harmonic forcing and frequency detuning. J. Sound Vib. 315 (2008), 746–765.