Y.N.Kononov, E.A.Tatarenko Free oscillations of two-layer liquid with ålastic membranes on free and interior surfaces |
Applied hydromechanics, Vol. 5 (77) ¹ 3, (2003) |
| Òhe analytical solution for two-dimensional problem of hydroelasticity, describing the interconnected free oscillations of two-layer perfect incompressible liquid in the rectangular channel and planar membranes, located on free and interior surfaces of liquid is constructed. Stability condition for interconnected oscillations of liquid and membranes is obtained. The cases of membranes location only on free and interior surfaces of liquid are considered. Numerical research of eigenvalues is carried out. On the basis of Bubnov-Galerkin method the approximate solution of considered problem is obtained. Comparison of two approaches shows the effectiveness of analytical solution for the given problem. |
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| TEXT LANGUAGE: Russian |