TRANSVERSE OSCILLATIONS OF A CYLINDRICAL VESSEL WITH A TWO-LAYER LIQUID SEPARATED BY AN ELASTIC MEMBRANE


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Abstract

A solution is given for the transverse oscillations, under elastic forces, of a cylindrical vessel containing an ideal two-layer liquid with elastic membranes at the free and inner surfaces of the stratified liquid. The following limiting cases for the elastic membrane are examined: it lies only at the free surface of a uniform and two-layer liquid; it separates a two-layer liquid; it exists at both the free and the inner surfaces of a two-layer liquid. The numerically calculated dependences of the first eigenfrequency on the tension of the membrane, liquid densities, and filling depth are analyzed.

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