Modelling of elastic metamaterials with negative mass and modulus based on translational resonance

被引:55
作者
Li, Zhengwei [1 ]
Wang, Chen [1 ]
Wang, Xiaodong [1 ]
机构
[1] Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 2G8, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Elastic metamaterial; Negative mass; Negative modulus; Wave mitigation; Wave propagation; ACOUSTIC METAMATERIAL; WAVE-PROPAGATION; INDEX; BEAMS;
D O I
10.1016/j.ijsolstr.2018.12.015
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A new elastic metamaterial model is proposed based on translational resonance to obtain simultaneously negative mass and negative modulus within specific frequency ranges, which consists of a series properly arranged stiff and soft components. Two different translational resonances exist in the proposed metamaterial representative cell. One resonance contributes directly to the negative effective modulus and the coupled effect of the two resonances can generate negative effective mass. The unique feature of the representative cell endows the model with great flexibility to generate negative effective parameters in different frequency ranges from various selections of materials and different geometrical parameters. The effect of the structural parameters of the representative cell on the frequency ranges with single negativity (negative mass or negative modulus) or double negativity (negative mass and negative modulus) has been evaluated in detail. Periodic metamaterials are formed by connecting multiple representative cells, and wave propagation in such metamaterials is studied. In the frequency ranges with single negative parameters, strong wave mitigation is observed, as expected. In the frequency ranges with double negative parameters, negative phase velocity is clearly shown. Typical examples are presented to illustrate the dynamic property of the current metamaterial. (C) 2018 Published by Elsevier Ltd.
引用
收藏
页码:271 / 284
页数:14
相关论文
共 39 条
  • [21] Energy gap tuning in uniaxial strained zigzag graphene nanoribbons
    Liu, Fei
    Liu, Xiaoyan
    Kang, Jinfeng
    [J]. APPLIED PHYSICS LETTERS, 2011, 98 (21)
  • [22] Wave propagation characterization and design of two-dimensional elastic chiral metacomposite
    Liu, X. N.
    Hu, G. K.
    Sun, C. T.
    Huang, G. L.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2011, 330 (11) : 2536 - 2553
  • [23] Broadband elastic metamaterial with single negativity by mimicking lattice systems
    Liu, Yongquan
    Su, Xianyue
    Sun, C. T.
    [J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2015, 74 : 158 - 174
  • [24] Locally resonant sonic materials
    Liu, ZY
    Zhang, XX
    Mao, YW
    Zhu, YY
    Yang, ZY
    Chan, CT
    Sheng, P
    [J]. SCIENCE, 2000, 289 (5485) : 1734 - 1736
  • [25] On modifications of Newton's second law and linear continuum elastodynamics
    Milton, Graeme W.
    Willis, John R.
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2007, 463 (2079): : 855 - 880
  • [26] Metaconcrete: designed aggregates to enhance dynamic performance
    Mitchell, Stephanie J.
    Pandolfi, Anna
    Ortiz, Michael
    [J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2014, 65 : 69 - 81
  • [27] Pai P. F., 2015, SPIE, DOI [10.1117/32199731, DOI 10.1117/32199731]
  • [28] Acoustic metamaterial beams based on multi-frequency vibration absorbers
    Pai, P. Frank
    Peng, Hao
    Jiang, Shuyi
    [J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2014, 79 : 195 - 205
  • [29] Negative refraction makes a perfect lens
    Pendry, JB
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (18) : 3966 - 3969
  • [30] Sam Hyeon L, 2009, J PHYS CONDENS MATT, V21