Journal article

Publication year: 2002

Journal: Physical Review E

Volume number: 65

Issue number: 3

ISSN: 1539-3755

eISSN: 1550-2376

DOI Link: https://doi.org/10.1103/PhysRevE.65.036614

Publisher: American Physical Society

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.

Harvard Citation style: Russ, S. and Sapoval, B. (2002) Increased damping of irregular resonators, PHYSICAL REVIEW E, 65(3), Article 036614. https://doi.org/10.1103/PhysRevE.65.036614

APA Citation style: Russ, S., & Sapoval, B. (2002). Increased damping of irregular resonators. PHYSICAL REVIEW E. 65(3), Article 036614. https://doi.org/10.1103/PhysRevE.65.036614