Impact based wideband nonlinear resonating metamaterial chain

被引:13
作者
Banerjee, A. [1 ,2 ]
Calius, E. P. [3 ]
Das, R. [4 ]
机构
[1] Univ Auckland, Dept Mech Engn, 20 Symonds St, Auckland 1010, New Zealand
[2] Indian Inst Technol, Dept Mech Engn, Kanpur, Uttar Pradesh, India
[3] Callaghan Innovat, Adv Mat, 24 Balfour Rd, Auckland 1052, New Zealand
[4] RMIT Univ, Sch Engn, Sir Lawrence Wackett Aerosp Res Ctr, GPO Box 2476, Melbourne, Vic 3001, Australia
关键词
Impact analysis; Impact dampers; Steady state response; Chaos and multi-periodic response; Metamaterial; Wideband metamaterial; Impact metamaterial; Transmittance; IN-MASS UNIT; PERIODIC MOTIONS; BIFURCATIONS; DYNAMICS; STABILITY; SYSTEM;
D O I
10.1016/j.ijnonlinmec.2018.04.011
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Due to the out of phase vibration of the internal units, unusual frequency dependent extreme properties, such as negative effective mass, can be perceived in a metamaterial. However, the performance of the linear metamaterial is limited to a narrow bandwidth due to the dependency on linear resonance. In this paper, this main limitation of the metamaterial is addressed by introducing the piecewise linear impacting oscillator at the mass in-mass resonating unit. The impacting system dissipates energy and consequently attenuates the vibration of the main structure due to the counteraction of the external excitation by the resulting impulse force. Attenuation bandwidths can be increased in higher and lower frequency side for impact metamaterial as it can attenuate the two transmission peaks. In the lower frequency side attenuation bandwidth can be increased 50% and in the higher frequency side it theoretically becomes infinite. Therefore, impacting metamaterial can be considered as a potential solution towards low frequency and wideband vibration isolator. This paper also thoroughly discussed different nonlinear responses in each units of metamaterial chain.
引用
收藏
页码:138 / 144
页数:7
相关论文
共 57 条
[31]   Dispersion characteristics of a nonlinear elastic metamaterial [J].
Khajehtourian, R. ;
Hussein, M. I. .
AIP ADVANCES, 2014, 4 (12)
[32]  
Larsen U. D., 1996, MICR EL MECH SYST 19
[33]   Low-frequency band gaps in chains with attached non-linear oscillators [J].
Lazarov, B. S. ;
Jensen, J. S. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2007, 42 (10) :1186-1193
[34]   Effective medium theory of thin-plate acoustic metamaterials [J].
Li, Pei ;
Yao, Shanshan ;
Zhou, Xiaoming ;
Huang, Guoliang ;
Hu, Gengkai .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2014, 135 (04) :1844-1852
[35]  
Lieber P., 1945, T AM SOC MECH ENG, V67, P523, DOI 10.1115/1.4018316
[36]   Broadband elastic metamaterial with single negativity by mimicking lattice systems [J].
Liu, Yongquan ;
Su, Xianyue ;
Sun, C. T. .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2015, 74 :158-174
[37]   Grazing bifurcations in an elastic structure excited by harmonic impactor motions [J].
Long, X. -H. ;
Lin, G. ;
Balachandran, B. .
PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (08) :1129-1138
[38]   Phononic crystals and acoustic metamaterials [J].
Lu, Ming-Hui ;
Feng, Liang ;
Chen, Yan-Feng .
MATERIALS TODAY, 2009, 12 (12) :34-42
[39]   Periodic-impact motions and bifurcations of a dual component system [J].
Luo, G. W. ;
Yu, J. N. ;
Zhang, J. G. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (04) :813-828
[40]   Periodic-impact motions and bifurcations of vibro-impact systems near 1:4 strong resonance point [J].
Luo, Guanwei ;
Zhang, Yanlong ;
Xie, Jianhua ;
Zhang, Hangang .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (05) :1002-1014