On the solution of a complicated biharmonic equation in a hydroelasticity problem

DOI10.1007/S10958-023-06604-WOpenAlexW4386391576MaRDI QIDQ6187843

Yu. M. Kononov

Publication date: 1 February 2024

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

Full work available at URL: https://doi.org/10.1007/s10958-023-06604-w

zbMATH Keywords

stabilityfrequency equationboundary value problemfree surfacemembraneideal incompressible fluidhydroelasticitythin platecomplicated biharmonic equationGreen's formula for Laplace operator

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74Hxx) Incompressible inviscid fluids (76Bxx) Coupling of solid mechanics with other effects (74Fxx)

Cites Work

• Asymmetric free vibration of circular plate in contact with incompressible fluid
• Stability of the equilibrium state of a rigid body with multilayer ideal liquid separated by elastic plates
• Vibrations of two-layer ideal liquid in a rigid cylindrical vessel with elastic bases
• Axially symmetric vibrations of elastic annular bases and a perfect two-layer liquid in a rigid annular cylindrical vessel
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