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Band structure of phononic crystals with general damping
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10.1063/1.3498806
/content/aip/journal/jap/108/9/10.1063/1.3498806
http://aip.metastore.ingenta.com/content/aip/journal/jap/108/9/10.1063/1.3498806
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Discrete model of phononic crystal: two-mass unit cell.

Image of FIG. 2.
FIG. 2.

Stiffness-proportional damping dispersion curves and damping ratio band diagrams.

Image of FIG. 3.
FIG. 3.

Mass-proportional damping dispersion curves and damping ratio band diagrams.

Image of FIG. 4.
FIG. 4.

General damping dispersion curves.

Image of FIG. 5.
FIG. 5.

Frequency (solid lines) and wavenumber (dashed lines) band gaps as a function of damping level for the (a) stiffness-proportional, (b) mass-proportional, and (c) general damping cases considered.

Image of FIG. 6.
FIG. 6.

Continuous model of phononic crystal: (a) unit cell topology, (b) first Brillouin zone.

Image of FIG. 7.
FIG. 7.

Frequency band structure for following cases: no damping ( , ), stiffness-proportional damping ( , ), and general damping (perturbation of stiffness-proportional damping case by replacing by and by ).

Image of FIG. 8.
FIG. 8.

Damping ratio band structure for following cases: no damping ( , ), stiffness-proportional damping ( , ), and general damping (perturbation of stiffness-proportional damping case by replacing by and by ).

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/content/aip/journal/jap/108/9/10.1063/1.3498806
2010-11-04
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Band structure of phononic crystals with general damping
http://aip.metastore.ingenta.com/content/aip/journal/jap/108/9/10.1063/1.3498806
10.1063/1.3498806
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