Scarring in vibrational modes of thin metal plates

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dc.creatorStarobin, Andre J.
dc.creatorTeitsworth, Stephen W.
dc.date2000-10-15
dc.date2001-12-03
dc.date.accessioned2026-07-07T05:33:05Z
dc.date.available2026-07-07T05:33:05Z
dc.descriptionWe report the first direct experimental observation of scarring phenomenon in transverse vibrational modes of a thin metal plate. The plate has the shape of a full stadium and clamped boundary conditions. Normal modes are imaged using time-averaged holographic interferometry, and modes corresponding to ``bouncing ball'' and higher order periodic trajectories are found. An eikonal approximation of the solution along classical trajectories of the stadium including nontrivial phase shifts at clamped boundaries yields a useful quantization condition for the observed modes.
dc.description13 pages, 3 figures; data reexamined; 1 figure and 1 ref. added
dc.identifierhttps://arxiv.org/abs/nlin/0010028
dc.identifierhttp://arxiv.org/abs/nlin/0010028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79881
dc.subjectChaotic Dynamics
dc.titleScarring in vibrational modes of thin metal plates
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