Scarring in vibrational modes of thin metal plates

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We 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.
13 pages, 3 figures; data reexamined; 1 figure and 1 ref. added

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/79881

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0010028
 http://arxiv.org/abs/nlin/0010028

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arXiv