Yu.N.Kononov, E.A.Tatarenko
Free oscillations of elastic membranes and two-layer liquid in rectangular channnel with elastic bottom

Applied hydromechanics, Vol. 10 (82) ¹ 1, (2008) p.33-38
The analytical solution of a flat problem of the hydroelasticity describing interconnected free oscillations of elastic diaphragms, the arranged on free and interior surfaces of a two-layer ideal incompressible liquid in the rectangular channel with a flat elastic bottom is constructed. The frequency equation is deduced. Cases when the diaphragm is only on a free or interior surface of a two-layer liquid are considered. The condition of a stability of the connected oscillations of a two-layer liquid, diaphragms and an elastic bottom is received. Are carried out numerical researches of fundamental frequencies.
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TEXT LANGUAGE: Russian