Abstract
This study experimentally reports the dynamic behaviour of liquid free surface in a shallow tub vibrated vertically in air So, we specify the fluctuating liquid level with optical methodology, using a liquid crystal display as of flat, source light, and attempt a modal classification by auto-correlation analysis for visualised free-surface image. As a result, we classify the free-surface pattern into some types including quasi-patterns. We show stability diagrams based on such classified modes, considering both excitation amplitude and excitation frequency as two governing parameters. Besides, we quantitatively evaluate fluctuating free-surface level, and reveal modal characteristics.
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