scientific article

zbMath0572.76017MaRDI QIDQ3690422

A. N. Komarenko, M. Ya. Barnyak, I. O. Lukovs'kyi

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

external forcesspectrumasymptotic behaviourboundary value problemexistence and uniquenessfree boundaryvariationalRitz's methodexact and approximate solutionsgeneralised solutionsangular pointsbodies with cavities, partially filled with an incompressible fluiddetermination of coordinate functionsHamilton-Ostrogradski\u{j}'s principle

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

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An approximate method of calculating the oscillations of a liquid in inclined elastic cavities and channels ⋮ Small motions and normal oscillations in systems of connected gyrostats ⋮ Analytically approximate natural sloshing modes and frequencies in two-dimensional tanks ⋮ A variational method of determining the eigenfrequencies of a liquid in a channel ⋮ Ivan Oleksandrovych Lukovs'kyi (on his 80th birthday) ⋮ Nonaxisymmetric vibrations of a shell of revolution partially filled with liquid ⋮ The shape of the fundamental sloshing mode in axisymmetric containers ⋮ A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics ⋮ The lower bound of the eigenfrequencies of plane oscillations of a fluid in a channel ⋮ Lower estimates of the characteristic frequencies of the oscillations of a liquid with a free surface in channels of arbitrary cross-section

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