The effects of cubic stiffness nonlinearity on the attenuation bandwidth of 1D elasto-dynamic metamaterials

Banerjee, A, Calius, E and Das, R 2016, 'The effects of cubic stiffness nonlinearity on the attenuation bandwidth of 1D elasto-dynamic metamaterials', in Proceedings of the ASME International Mechanical Engineering Congress and Exposition (IMECE 2016), Phoenix, Arizona, United States, 11-17 November 2016, pp. 1-7.


Document type: Conference Paper
Collection: Conference Papers

Title The effects of cubic stiffness nonlinearity on the attenuation bandwidth of 1D elasto-dynamic metamaterials
Author(s) Banerjee, A
Calius, E
Das, R
Year 2016
Conference name IMECE 2016
Conference location Phoenix, Arizona, United States
Conference dates 11-17 November 2016
Proceedings title Proceedings of the ASME International Mechanical Engineering Congress and Exposition (IMECE 2016)
Publisher American Society of Mechanical Engineers
Place of publication United States
Start page 1
End page 7
Total pages 7
Abstract Metamaterials demonstrate unique frequency dependent responses due to the presence of internal resonators; hence, it can be used to filter, absorb, cloak, or otherwise manipulate waves in unique ways. However, its applicability is normally limited to a very narrow frequency range (bandwidth) due to a dependency on linear resonance. The applications of these linear metamaterials are limited when used under the broadband excitation spectra that are common in real life applications. This paper numerically investigates the effect of introducing the two main classes of Duffing type cubic nonlinearities, namely monostable and bistable, on the attenuation bandwidth of an elasto-dynamic metamaterial. From the analysis, it is found that the attenuation bandwidth of a bistable nonlinear system is two to three times wider than that of an equivalent linear system; whereas, in case of a monostable system the bandwidth is remained same. In both cases, the attenuation bandwidth shifts towards the higher end of the frequency spectra and for higher nonlinearity and excitation amplitude, second transmission zone completely vanishes.
Subjects Materials Engineering not elsewhere classified
Keyword(s) Metamaterials
Stiffness
DOI - identifier 10.1115/IMECE2016-66359
Copyright notice Copyright © 2016 by ASME
ISBN 9780791850671
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