Towards wideband mechanical metamaterials: comparing nonlinear oscillator mechanisms

Banerjee, A, Calius, E and Das, R 2015, 'Towards wideband mechanical metamaterials: comparing nonlinear oscillator mechanisms', in G. R. Liu and Raj Das (ed.) Proceedings of the 6th International Conference on Computational Methods (ICCM 2015), Auckland, New Zealand, 14-17 July 2015, pp. 156-168.


Document type: Conference Paper
Collection: Conference Papers

Title Towards wideband mechanical metamaterials: comparing nonlinear oscillator mechanisms
Author(s) Banerjee, A
Calius, E
Das, R
Year 2015
Conference name ICCM 2015
Conference location Auckland, New Zealand
Conference dates 14-17 July 2015
Proceedings title Proceedings of the 6th International Conference on Computational Methods (ICCM 2015)
Editor(s) G. R. Liu and Raj Das
Publisher Scientech
Place of publication United States
Start page 156
End page 168
Total pages 13
Abstract Metamaterial is a designed material, having some exotic phenomena in resonating frequency range, such as negative properties. This is often achieved through resonant electromagnetic, acoustic or mechanical structures inside the metamaterial. Mechanical metamaterials have a comprehensive range of applications in sound, vibration and seismic engineering. However, the effectiveness of metamaterials is limited to a relatively narrow frequency band as they are generally based on linear resonance mechanisms. These linear metamaterials do not perform well under the broadband excitation spectra that are common in real life applications. Towards the first step to widen the bandwidth of the metamaterial, different classes of nonlinear oscillations, namely Duffing type monostable and bistable, and piecewise linear, are studied in non-dimensional way and compared with each other, to identify the best one according to resonating bandwidth increment. A straightforward time history based iterative methodology FRSFTI is developed to get the frequency amplitude plot of a nonlinear system without employing any approximate perturbation method. The frequency-amplitude plot from this method shows a good agreement with the conventional perturbation method at the resonating frequency range; moreover, this method enables to compute the response away from the resonating range. From the analysis it can be concluded that the bandwidth increment of bistable Duffing type oscillator is largest compared to others.
Subjects Materials Engineering not elsewhere classified
Keyword(s) Nonlinear metamaterial
Mechanical metamaterial
Nonlinear oscillation
Bandwidth comparison
Multi-stability
Steady state response
Non-dimensional analysis
Copyright notice © 2015 This work is licensed under a Creative Commons Attribution 3.0 License.
ISSN 2374-3948
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