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
[1]   PERIODIC AND CHAOTIC BEHAVIOR OF A THRESHOLD-LIMITED 2-DEGREE-OF-FREEDOM SYSTEM [J].
AIDANPAA, JO ;
GUPTA, RB .
JOURNAL OF SOUND AND VIBRATION, 1993, 165 (02) :305-327
[2]   Dynamics of an elastic structure excited by harmonic and aharmonic impactor motions [J].
Balachandran, B .
JOURNAL OF VIBRATION AND CONTROL, 2003, 9 (3-4) :265-279
[3]  
Banerjee Arnab, 2016, Applied Mechanics and Materials, V846, P264, DOI 10.4028/www.scientific.net/AMM.846.264
[4]  
Banerjee A, 2016, IMECE 2016
[5]  
Banerjee A., 2017, J APPL PHYS, V122
[6]  
Banerjee A., 2018, ARCH COMPUTAT METHOD, DOI [10.1007/s11831,018-9268-1a, DOI 10.1007/S11831,018-9268-1A]
[7]  
Banerjee A., 2016, ECCOMAS C 2016 7 EUR
[8]   An impact based mass-in-mass unit as a building block of wideband nonlinear resonating metamaterial [J].
Banerjee, Arnab ;
Calius, Emilio P. ;
Das, Raj .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2018, 101 :8-15
[9]   Vibration transmission through an impacting mass-in-mass unit, an analytical investigation [J].
Banerjee, Arnab ;
Das, Raj ;
Calius, Emilio P. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2017, 90 :137-146
[10]  
Banerjee B., 2011, An introduction to metamaterials and waves in composites, DOI [10.1201/b11814, DOI 10.1201/B11814]