Lamb waves in binary locally resonant phononic plates with two-dimensional lattices
- 14 May 2007
- journal article
- Published by AIP Publishing in Applied Physics Letters
- Vol. 90 (20), 201904
- https://doi.org/10.1063/1.2739369
Abstract
The authors study the propagation of Lamb waves in two-dimensional locally resonant phononic-crystal plates, composed of periodic soft rubber fillers in epoxy host with a finite thickness. Our calculations are based on the efficient plane wave expansion formulation which utilized Mindlin’s plate theory. Calculated results show that the low-frequency gaps of Lamb waves are opened up by the localized resonance mechanism. The resonant frequencies of flexure-dominated plate modes are significantly dependent not only on the radius of circular rubber fillers but also on the plate thickness. The properties of localized resonance are qualitatively analogous to the vibration of a circular thin plate.Keywords
This publication has 15 references indexed in Scilit:
- Design of a highly magnified directional acoustic source based on the resonant cavity of two-dimensional phononic crystalsApplied Physics Letters, 2006
- Band gaps and the electromechanical coupling coefficient of a surface acoustic wave in a two-dimensional piezoelectric phononic crystalPhysical Review B, 2005
- Small-size sonic crystals with strong attenuation bands in the audible frequency rangeApplied Physics Letters, 2004
- Two-dimensional phononic crystals studied using a variational method: Application to lattices of locally resonant materialsPhysical Review B, 2003
- Evidence of Fano-Like Interference Phenomena in Locally Resonant MaterialsPhysical Review Letters, 2002
- Three-component elastic wave band-gap materialPhysical Review B, 2002
- On wave propagation in inhomogeneous systemsPhysica B: Condensed Matter, 2001
- Locally Resonant Sonic MaterialsScience, 2000
- Acoustic band structure of periodic elastic compositesPhysical Review Letters, 1993
- Elastic and acoustic wave band structureJournal of Sound and Vibration, 1992