The effect of stiffness and mass on coupled oscillations in a phononic crystal

M. Ghasemi Baboly; M. F. Su; C. M. Reinke; S. Alaie; D. F. Goettler; I. El-Kady; Z. C. Leseman

doi:10.1063/1.4834335

The effect of stiffness and mass on coupled oscillations in a phononic crystal

M. Ghasemi Baboly, M. F. Su, C. M. Reinke, S. Alaie, D. F. Goettler, I. El-Kady, Z. C. Leseman^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Insight into phononic bandgap formation is presented using a first principles-type approach where phononic lattices are treated as coupled oscillators connected via massless tethers. The stiffness of the tethers and the mass of the oscillator are varied and their influences on the bandgap formation are deduced. This analysis is reinforced by conducting numerical simulations to examine the modes bounding the bandgap and highlighting the effect of the above parameters. The analysis presented here not only sheds light on the origins of gap formation, but also allows one to define design rules for wide phononic gaps and maximum gap-to-midgap ratios.

Original language	English
Article number	112121
Journal	AIP Advances
Volume	3
Issue number	11
DOIs	https://doi.org/10.1063/1.4834335
State	Published - Nov 2013
Externally published	Yes

Bibliographical note

Funding Information:
This work was supported by the National Science Foundation Division of CMMI under Award 1056077. Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000.

ASJC Scopus subject areas

General Physics and Astronomy

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Cite this

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abstract = "Insight into phononic bandgap formation is presented using a first principles-type approach where phononic lattices are treated as coupled oscillators connected via massless tethers. The stiffness of the tethers and the mass of the oscillator are varied and their influences on the bandgap formation are deduced. This analysis is reinforced by conducting numerical simulations to examine the modes bounding the bandgap and highlighting the effect of the above parameters. The analysis presented here not only sheds light on the origins of gap formation, but also allows one to define design rules for wide phononic gaps and maximum gap-to-midgap ratios.",

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AU - Baboly, M. Ghasemi

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AU - Reinke, C. M.

AU - Alaie, S.

AU - Goettler, D. F.

AU - El-Kady, I.

AU - Leseman, Z. C.

N1 - Funding Information: This work was supported by the National Science Foundation Division of CMMI under Award 1056077. Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000.

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Y1 - 2013/11

N2 - Insight into phononic bandgap formation is presented using a first principles-type approach where phononic lattices are treated as coupled oscillators connected via massless tethers. The stiffness of the tethers and the mass of the oscillator are varied and their influences on the bandgap formation are deduced. This analysis is reinforced by conducting numerical simulations to examine the modes bounding the bandgap and highlighting the effect of the above parameters. The analysis presented here not only sheds light on the origins of gap formation, but also allows one to define design rules for wide phononic gaps and maximum gap-to-midgap ratios.

AB - Insight into phononic bandgap formation is presented using a first principles-type approach where phononic lattices are treated as coupled oscillators connected via massless tethers. The stiffness of the tethers and the mass of the oscillator are varied and their influences on the bandgap formation are deduced. This analysis is reinforced by conducting numerical simulations to examine the modes bounding the bandgap and highlighting the effect of the above parameters. The analysis presented here not only sheds light on the origins of gap formation, but also allows one to define design rules for wide phononic gaps and maximum gap-to-midgap ratios.

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The effect of stiffness and mass on coupled oscillations in a phononic crystal

Abstract

Bibliographical note

ASJC Scopus subject areas

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