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The standing surface waves in a rectangular vertically oscillating vesselfilled with water (Faraday waves) in the presence of a floating elastic sheetare studied experimentally and theoretically. The threshold amplitude of theinstability and the wavelength of the patterns are measured as a function ofthe frequency. A theoretical model based on Hamiltonian method is used todescribe the system. Using the experimental attenuation coefficients, we see avery good agreement between the theory and the experiment for thresholdamplitude. Also, the dispersion relation obtained from the theory is consistentwith experiments.

Faraday Waves in a Low-Viscosity Fluid Covered with a Floating Elastic Sheet