Frequency graded 1D metamaterials: A study on the attenuation bands

Banerjee, A, Das, R and Calius, E 2017, 'Frequency graded 1D metamaterials: A study on the attenuation bands', Journal of Applied Physics, vol. 122, no. 7, pp. 1-12.


Document type: Journal Article
Collection: Journal Articles

Title Frequency graded 1D metamaterials: A study on the attenuation bands
Author(s) Banerjee, A
Das, R
Calius, E
Year 2017
Journal name Journal of Applied Physics
Volume number 122
Issue number 7
Start page 1
End page 12
Total pages 12
Publisher AIP Publishing
Abstract Depending on the frequency, waves can either propagate (transmission band) or be attenuated (attenuation band) while travelling through a one-dimensional spring-mass chain with internal resonators. The literature on wave propagation through a 1D mass-in-mass chain is vast and continues to proliferate because of its versatile applicability in condensed matter physics, optics, chemistry, acoustics, and mechanics. However, in all these areas, a uniformly periodic arrangement of identical linear resonating units is normally used which limits the attenuation band to a narrow frequency range. To counter this limitation of linear uniformly periodic metamaterials, the attenuation bandwidth in a one-dimensional finite chain with frequency graded linear internal resonators are investigated in this paper. The result shows that a properly tuned frequency graded arrangement of resonating units can extend the upper part of the attenuation band of 1D metamaterial theoretically up to infinity and also increases the lower part of the attenuation bandwidth by around 40% of an equivalent uniformly periodic metamaterial without increasing the mass. Therefore, the frequency graded metamaterials can be a potential solution towards low frequency and wideband acoustic or vibration insulation. In addition, this paper provides analytical expressions for the attenuation and transmission frequency limits for a periodic mass-in-mass metamaterial and demonstrates the attenuation band is generated by the high absolute value of the effective mass not only due to the negative effective mass.
Subject Materials Engineering not elsewhere classified
DOI - identifier 10.1063/1.4998446
Copyright notice © AIP Publishing
ISSN 0021-8979
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 0 times in Scopus Article
Altmetric details:
Access Statistics: 13 Abstract Views  -  Detailed Statistics
Created: Tue, 26 Mar 2019, 09:36:00 EST by Catalyst Administrator
© 2014 RMIT Research Repository • Powered by Fez SoftwareContact us