Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The paper deals with free vibrations of a horizontal thin elastic circular plate submerged in an infinite layer of fluid of constant depth. The motion of the plate is accompanied by the fluid motion, and thus, the pressure load on this plate results from displacements of the plate in time. The plate and fluid motions depend on boundary conditions, and, in particular, the pressure load depends on the gap between the plate and the fluid bottom. In theoretical description of this phenomenon, we deal with a coupled problem of hydrodynamics in which the plate and fluid motions are coupled through boundary conditions at the plate surfaces. This coupling leads to the so-called co-vibrating (added) mass of fluid, which significantly changes the fundamental frequencies (eigenfrequencies) of the plate. In formulation of the problem, a linear theory of small deflections of the plate is employed. At the same time, one assumes the potential fluid motion with the potential function satisfying Laplace’s equation within the fluid domain and appropriate boundary conditions at fluid boundaries. In order to solve the problem, the infinite fluid domain is divided into sub-domains of simple geometry, and the solution of problem equations is constructed separately for each of these domains. Numerical experiments have been conducted to illustrate the formulation developed in this paper.
Rocznik
Tom
Strony
163--186
Opis fizyczny
Bibliogr. 6 poz., rys., tab.
Twórcy
autor
- Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Kościerska 7. 80-328 Gdańsk, Poland
autor
- Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Kościerska 7. 80-328 Gdańsk, Poland
Bibliografia
- Antoniewicz J. (1969) Tables of functions for engineers (in Polish), PWN, Warszawa.
- McLachlan N. W. (1964) Bessel functions for engineers, Polish Edition, PWN, Warszawa.
- Nowacki W. (1972) Dynamics of Structures (in Polish), Arkady, Warszawa.
- Kerr A. D., Palmer W. T. (1972) The deformation and stresses in floating ice plates, Acta Mechanica, 15, 57–72.
- Sawicki A. (1975) Dynamics of floating roofs (in Polish), Engineering Transactions, 22 (2), 275–298.
- Solecki R. (1966) Vibrations of a floating plate I, Bulletin of the Polish Academy of Sciences, Series Tech. Sc. 11–12, XIV, Warszawa, 647–650.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0e09a515-7ea1-4b43-abf4-295c86821cce