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Enhancement of the band-gap characteristics of hierarchical periodic elastic metamaterial beams. (English) Zbl 1498.74044


MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74H45 Vibrations in dynamical problems in solid mechanics
74S25 Spectral and related methods applied to problems in solid mechanics
74-05 Experimental work for problems pertaining to mechanics of deformable solids
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[1] Kutsenko, AA; Shuvalov, AL; Norris, AN., Evaluation of the effective speed of sound in phononic crystals by the monodromy matrix method (L), J Acoust Soc Am, 130, 3553-3557 (2011)
[2] Zhao, J.; Pan, Y.; Zhong, Z., Theoretical study of shear horizontal wave propagation in periodically layered piezoelectric structure, J Appl Phys, 111, 064906 (2012)
[3] Gao, F.; Wu, Z.; Li, F., Numerical and experimental analysis of the vibration and band-gap properties of elastic beams with periodically variable cross sections, Waves Random Complex Media, 29, 299-316 (2019) · Zbl 07583630
[4] Kushwaha, MS; Halevi, P.; Martínez, G., Theory of acoustic band-structure of periodic elastic composites, Phys Rev B Condens Matter, 49, 2313-2322 (1994)
[5] Del Vescovo, D.; Giorgio, I., Dynamic problems for metamaterials: review of existing models and ideas for further research, Int J Eng Sci, 80, 153-172 (2014) · Zbl 1423.74039
[6] Zhu, R.; Huang, GL; Hu, GK., Effective dynamic properties and multi-resonant design of acoustic metamaterials, J Vib Acoust, 134, 031006 (2012)
[7] Huang, HH; Sun, CT; Huang, GL., On the negative effective mass density in acoustic metamaterials, Int J Eng Sci, 47, 610-617 (2009)
[8] Bergamini, A.; Delpero, T.; De Simoni, L., Phononic crystal with adaptive connectivity, Adv Mater, 26, 1343-1347 (2014)
[9] Zhang, P.; Parnell, WJ., Band gap formation and tunability in stretchable serpentine interconnects, J Appl Mech, 84, 091007 (2017)
[10] Liu, M.; Zhu, WD., Modeling and analysis of nonlinear wave propagation in one-dimensional phononic structures, J Vib Acoust, 140, 061010 (2018)
[11] Li, FL; Wang, YS; Zhang, CZ., A BEM for band structure and elastic wave transmission analysis of 2D phononic crystals with different interface conditions, Int J Mech Sci, 144, 110-117 (2018)
[12] Ma, Y.; Zhang, K.; Deng, Z., Wave component solutions of free vibration and mode damping loss factor of finite length periodic beam structure with damping material, Compos Struct, 201, 740-746 (2018)
[13] Zhou, XQ; Yu, DY; Shao, X., Band gap characteristics of periodically stiffened-thin-plate based on center-finite-difference-method, Thin-Walled Struct, 82, 115-123 (2014)
[14] Liu, ZY; Zhang, X.; Mao, Y., Locally resonant sonic materials, Science, 289, 1734-1736 (2000)
[15] Tsu, R.; Fiddy, MA., Waves in man-made materials: superlattice to metamaterials, Waves Random Complex Media, 24, 250-263 (2014)
[16] Wen, J.; Wang, G.; Yu, D., Theoretical and experimental investigation of flexural wave propagation in straight beams with periodic structures: application to a vibration isolation structure, J Appl Phys, 97, 114907 (2005)
[17] Liu, L.; Hussein, MI., Wave motion in periodic flexural beams and characterization of the transition between Bragg scattering and local resonance, J Appl Mech, 79, 011003 (2012)
[18] Chang, IL; Liang, ZX; Kao, HW, The wave attenuation mechanism of the periodic local resonant metamaterial, J Sound Vib, 412, 349-359 (2018)
[19] Zhu, R.; Liu, XN; Hu, GK, A chiral elastic metamaterial beam for broadband vibration suppression, J Sound Vib, 333, 2759-2773 (2014)
[20] Yu, D.; Liu, Y.; Wang, G., Flexural vibration band gaps in Timoshenko beams with locally resonant structures, J Appl Phys, 100, 124901 (2006)
[21] Fang, X.; Wen, J.; Bonello, B., Wave propagation in one-dimensional nonlinear acoustic metamaterials, New J Phys, 19, 053007 (2017) · Zbl 1514.74054
[22] Casadei, F.; Delpero, T.; Bergamini, A., Piezoelectric resonator arrays for tunable acoustic waveguides and metamaterials, J Appl Phys, 112, 064902 (2012)
[23] Liu, XN; Hu, GK; Huang, GL, An elastic metamaterial with simultaneously negative mass density and bulk modulus, Appl Phys Lett, 98, 251907 (2011)
[24] Hu, G.; Tang, L.; Das, R., Acoustic metamaterials with coupled local resonators for broadband vibration suppression, AIP Adv, 7, 2, 025211 (2017)
[25] Lee, S.; Ahn, CH; Lee, JW., Vibro-acoustic metamaterial for longitudinal vibration suppression in a low frequency range, Int J Mech Sci, 144, 223-234 (2018)
[26] Li, ZN; Wang, YZ; Wang, YS., Nonreciprocal phenomenon in nonlinear elastic wave metamaterials with continuous properties, Int J Solids Struct, 150, 125-134 (2018)
[27] Li, ZN; Yuan, B.; Wang, YZ, Diode behavior and nonreciprocal transmission in nonlinear elastic wave metamaterial, Mech Mater, 133, 85-101 (2019)
[28] Wang, YZ; Wang, YS., Active control of elastic wave propagation in nonlinear phononic crystals consisting of diatomic lattice chain, Wave Motion, 78, 1-8 (2018) · Zbl 1469.74075
[29] Ning, L.; Wang, YZ; Wang, YS., Active control of elastic metamaterials consisting of symmetric double Helmholtz resonator cavities, Int J Mech Sci, 153-154, 287-298 (2019)
[30] Barnhart, MV; Xu, X.; Chen, Y., Experimental demonstration of a dissipative multi-resonator metamaterial for broadband elastic wave attenuation, J Sound Vib, 438, 1-12 (2019)
[31] Miranda, EJP; Nobrega, ED; Ferreira, AHR, Flexural wave band gaps in a multi-resonator elastic metamaterial plate using Kirchhoff-Love theory, Mech Syst Signal Process, 116, 480-504 (2019)
[32] Zouari, S.; Brocail, J.; Génevaux, JM., Flexural wave band gaps in metamaterial plates: A numerical and experimental study from infinite to finite models, J Sound Vib, 435, 246-263 (2018)
[33] Wu, ZJ; Wang, YZ; Li, FM., Analysis on band gap properties of periodic structures of bar system using the spectral element method, Waves Random Complex Media, 23, 4, 349-372 (2013) · Zbl 1378.74039
[34] Wu, ZJ; Li, FM., Spectral element method and its application in analysing the vibration band gap properties of two-dimensional square lattices, J Vib Control, 22, 3, 710-721 (2016)
[35] Wen, SR; Wu, ZJ; Lu, NL., High-precision solution to the moving load problem using an improved spectral element method, Acta Mech Sin, 34, 1, 68-81 (2018) · Zbl 1391.74279
[36] Hutchinson, JR., Shear coefficients for Timoshenko beam theory, J Appl Mech, 68, 87-92 (2001) · Zbl 1110.74489
[37] Li, F.; Zhang, C.; Liu, C., Active tuning of vibration and wave propagation in elastic beams with periodically placed piezoelectric actuator/sensor pairs, J Sound Vib, 393, 14-29 (2017)
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