PMID: 11909292Mar 23, 2002Paper

Increased damping of irregular resonators

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S Russ, B Sapoval

Abstract

It is shown that fractal drums and jagged geometry resonators may be more damped than ordinary Euclidean systems. Several damping mechanisms are examined and studied by numerical calculations. The results depend on the dissipation mechanisms but globally they increase with localization, frequency, and the irregularity of the resonator. The increased dissipation is due to the uneven spatial distribution of the vibrational amplitude in two different ways. First, it is related to the partial confinement of the vibrational modes. Secondly, increased dissipation may be due to singularities in the amplitude distribution. This is the case when a few points exist where the vibration is pinned to zero inducing local logarithmic singularities. This last effect can be spectacular: a single defect can dominate the surface damping by viscous forces of a square drum.

References

May 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B Sapoval, T Gobron
Nov 18, 1991·Physical Review Letters·B SapovalA Margolina
Sep 19, 1994·Physical Review Letters·S Russ, B Sapoval

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Citations

Sep 1, 2011·The Journal of the Acoustical Society of America·Jason A KulpeMichael J Leamy
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yuriy Hlushchuk, Stefanie Russ

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