Vibrations of two-layer ideal liquid in a rigid cylindrical vessel with elastic bases

DOI10.1007/s10958-020-04745-wzbMath1448.74049OpenAlexW3010502276MaRDI QIDQ2202632

Yu. O. Dzhukha, Yu. M. Kononov

Publication date: 29 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-04745-w

zbMATH Keywords

circular platefrequency spectrummembraneFourier series solution

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Internal waves for incompressible inviscid fluids (76B55) Liquid-liquid two component flows (76T06)

Related Items (4)

The problem of normal oscillations of a viscous stratified fluid with an elastic membrane ⋮ Stability of the equilibrium state of a rigid body with multilayer ideal liquid separated by elastic plates ⋮ Motion of a solid body with a cavity containing a multilayer ideal fluid ⋮ On the solution of a complicated biharmonic equation in a hydroelasticity problem

Cites Work

• Free oscillations of a fluid in a cylindrical container with arbitrary axisymmetric bottom and elastic elements on the free surface of the fluid
• Asymmetric free vibration of circular plate in contact with incompressible fluid
• Transversal oscillations of a fluid in a long cylindrical container with membrane or elastic plate on the free surface
• Axisymmetric Free Hydroelastic Vibration of a Flexural Bottom Plate in a Cylindrical Tank Supported on an Elastic Foundation
• Liquid motion in a circular cylindrical container with a flexible bottom.
• Nonlinear liquid motion in a longitudinally excited container with elastic bottom.
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