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Scarring in vibrational modes of thin metal plates

Andre J. Starobin·Stephen W. Teitsworth
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Abstract

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.

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Andre J. Starobin, Stephen W. Teitsworth. 2001-12-03. Scarring in vibrational modes of thin metal plates. https://arxiv.org/abs/nlin/0010028

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