Page 44 - 应用声学2019年第2期
P. 44
190 2019 年 3 月
crystals[J]. Physical Review E, 2007, 75(6): 066601.
3 结论 [11] Bonnet G, Monchiet V. Low frequency locally resonant
metamaterials containing composite inclusions[J]. The
本文用磁流变弹性体作为包层设计了二维局 Journal of the Acoustical Society of America, 2015, 137(6):
域共振型声学超材料。超材料周期单元中,圆形钨 3263–3271.
内核为质量块,环氧树脂为基体,磁流变弹性体相当 [12] Wang P, Casadei F, Shan S, et al. Harnessing buckling to
design tunable locally resonant acoustic metamaterials[J].
于弹簧。用有限元方法进行计算,分析了系统能带
Physical Review Letters, 2014, 113(1): 014301.
结构、声波透射率、振动模态等,结果分析表明:外磁 [13] Yang X W, Lee J S, Kim Y Y. Effective mass density based
场可以调控磁流变弹性体包层的弹性系数 k,调控 topology optimization of locally resonant acoustic meta-
materials for bandgap maximization[J]. Journal of Sound
带隙上下边沿的频率,从而调节带隙的中心位置和
and Vibration, 2016, 383: 89–107.
宽度;还可以调控磁流变弹性体包层的厚度来调节 [14] Chen Y Y, Barnhart M V, Chen J K, et al. Dissipative
二维局域共振型超材料带隙的中心位置和宽度。这 elastic metamaterials for broadband wave mitigation at
些方法对声学超材料的可调谐应用设计有一定的 subwavelength scale[J]. Composite Structures, 2016, 136:
358–371.
借鉴价值。
[15] Krushynska A O, Miniaci M, Kouznetsova V G, et al.
Multilayered inclusions in locally resonant metamate-
参 考 文 献 rials: two-dimensional versus three-dimensional model-
ing[J]. Journal of Vibration and Acoustics, 2017, 139(2):
024501.
[1] Wu F G, Liu Z Y, Liu Y Y. Splitting and tuning char-
[16] Graczyk P, Klos J, Krawczyk M. Broadband magnetoe-
acteristics of the point defect modes in two-dimensional
lastic coupling in magnonic-phononic crystals for high-
phononic crystals[J]. Physical Review E, 2004, 69(2):
frequency nanoscale spin-wave generation[J]. Physical Re-
066609.
view B, 2017, 95(10): 104425.
[2] 麻乘榕, 邵晨, 万庆冕, 等. 用于汽车低频振动控制的局域共
[17] Jolly M R, Carlson J D, Muñoz B C, et al. The magneto-
振声子晶体 [J]. 应用声学, 2018, 37(1): 152–158.
viscoelastic response of elastomer composites consisting of
Ma Chengrong, Shao Chen, Wan Qingmian, et al. A
ferrous particles embedded in a polymer matrix[J]. Jour-
locally-resonant phononic crystal for low-frequency vibra-
nal of Intelligent Material Systems and Structures, 1996,
tion control of vehicles[J]. Journal of Applied Acoustics,
7(6): 613–622.
2018, 37(1): 152–158.
[18] Li Y C, Li J C, Li W H, et al. Development and character-
[3] 林建, 吴福根, 姚源卫, 等. 二维蜂窝结构声子晶体的负折射
ization of a magnetorheological elastomer based adaptive
成像研究 [J]. 应用声学, 2015, 34(6): 533–538.
seismic isolator[J]. Smart Materials and Structures, 2013,
Lin Jian, Wu Fugen, Yao Yuanwei, et al. Study of negative
22(3): 035005.
refraction and imaging of two-dimensional phononic crys-
[19] Sun S S, Deng H X, Yang J, et al. An adaptive tuned vi-
tal with honeycomb-lattice[J]. Journal of Applied Acous-
bration absorber based on multilayered MR elastomers[J].
tics, 2015, 34(6): 533–538.
Smart Materials and Structures, 2015, 24(4): 045045.
[4] Kaina N, Lemoult F, Fink M, et al. Negative refractive
[20] Xu Z L, Wu F G. Elastic band gaps of magnetorheologi-
index and acoustic superlens from multiple scattering in
cal elastomer vibration isolators[J]. Journal of Intelligent
single negative metamaterials[J]. Nature, 2015, 525(7567):
Material Systems and Structures, 2015, 26(7): 858–864.
77–81.
[21] Bayat A,Gordaninejad F. Band-gap of a soft magnetorhe-
[5] Lee S H, Park C M, Seo Y M, et al. Reversed Doppler ef-
ological phononic crystal[J]. Journal of Vibration and
fect in double negative metamaterials[J]. Physical Review
Acoustics, 2015, 137(1): 011011.
B, 2010, 81(24): 241102.
[22] Bellan C, Bossis G. Field dependence of viscoelastic prop-
[6] Wei Q, Cheng Y, Liu X J. Acoustic total transmission
erties of mr elastomers[J]. International Journal of Mod-
and total reflection in zero-index metamaterials with de-
ern Physics B, 2002, 16(17n18): 2447–2453.
fects[J]. Applied Physics Letters, 2013, 102(17): 174104.
[23] Davis L C. Model of magnetorheological elastomers[J].
[7] Moleron M, Daraio C. Acoustic metamaterial for subwave-
Journal of Applied Physics, 1999, 85(6): 3348–3351.
length edge detection[J]. Nature Communications, 2015,
[24] 余淼, 严小锐, 毛林章. 一种刚度、阻尼可控的新智能材
6(8): 8037.
料 —— 磁流变弹性体 [J]. 材料导报, 2007, 21(7): 103–107.
[8] Zigoneanu L, Popa B I, Cummer S A. Three-dimensional
Yu Miao, Yan Xiaorui, Mao Linzhang. A new
broadband omnidirectional acoustic ground cloak[J]. Na-
smart material with controllable stiffness and damping-
ture Materials, 2014, 13(4): 352–355.
magnetorheological elastomer[J]. Materials Review, 2007,
[9] Liu Z Y, Zhang X X, Mao Y W, et al. Locally resonant
21(7): 103–107.
sonic materials[J]. Science, 2000, 289(5485): 1734–1736.
[25] Wang G, Shao L H, Liu Y Z, et al. Accurate evaluation
[10] Larabi H, Pennec Y, Djafari-Rouhani B, et al. Multi-
of lowest band gaps in ternary locally resonant phononic
coaxial cylindrical inclusions in locally resonant phononic
crystals[J]. Chinese Physics, 2006, 15(8): 1843–1848.