Imperial College London
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DrLukeLouca

Faculty of Engineering, Department of Civil and Environmental Engineering

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+44 (0)20 7594 6039l.a.louca

 
 
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438Skempton BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Soleiman:2015:10.1016/j.wavemoti.2015.07.001,
author = {Soleiman, Fallah A and Yang, Y and Ward, R and Brambleby, R and Tootkaboni, M and Louhghalam, A and Louca, L},
doi = {10.1016/j.wavemoti.2015.07.001},
journal = {Wave Motion},
pages = {101--116},
title = {Wave propagation in two-dimensional anisotropic acoustic metamaterials of K4 topology},
url = {http://dx.doi.org/10.1016/j.wavemoti.2015.07.001},
volume = {58},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - An acoustic metamaterial is envisaged as a synthesised phononic material the mechanical behaviour of which is determined by its unit cell. The present study investigates one aspect of mechanical behaviour, namely the band structure, in two-dimensional (2D) anisotropic acoustic metamaterials encompassing locally resonant mass-in-mass units connected by massless springs in a K4 topology. The 2D lattice problem is formulated in the direct space (r-space) and the equations of motion are derived using the principle of least action (Hamilton’s principle). Only proportional anisotropy and attenuation-free shock wave propagation have been considered. Floquet-Bloch’s principle is applied, therefore a generic unit cell is studied. The unit cell can represent the entire lattice regardless of its position. It is transformed from the direct lattice in r-space onto its reciprocal lattice conjugate in Fourier space (k-space) and point symmetry operations are applied to Wigner-Seitz primitive cell to derive the first irreducible Brillouin Zone (BZ). The edges of the first irreducible Brillouin Zone in the k-space have then been traversed to generate the full band structure. It was found that the phenomenon of frequency filtering exists and the pass and stop bands are extracted. A follow-up parametric study appreciated the degree and direction of influence of each parameter on the band structure.
AU  - Soleiman,Fallah A
AU  - Yang,Y
AU  - Ward,R
AU  - Brambleby,R
AU  - Tootkaboni,M
AU  - Louhghalam,A
AU  - Louca,L
DO  - 10.1016/j.wavemoti.2015.07.001
EP  - 116
PY  - 2015///
SN  - 0165-2125
SP  - 101
TI  - Wave propagation in two-dimensional anisotropic acoustic metamaterials of K4 topology
T2  - Wave Motion
UR  - http://dx.doi.org/10.1016/j.wavemoti.2015.07.001
UR  - http://hdl.handle.net/10044/1/25084
VL  - 58
ER  -
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