Vibrations of a Horizontal Elastic Band Plate Submerged in Fluid of Constant Depth

• Autorzy: Szmidt K. , Hedzielski B.

Identyfikatory

DOI

10.1515/heem-2016-0012

• Języki publikacji: EN

Abstrakty

EN

The paper deals with free and forced vibrations of a horizontal thin elastic plate submerged in an infinite layer of fluid of constant depth. In free vibrations, the pressure load on the plate results from assumed displacements of the plate. In forced vibrations, the fluid pressure is mainly induced by water waves arriving at the plate. In both cases, we have a coupled problem of hydrodynamics in which the plate and fluid motions are coupled through boundary conditions at the plate surface. At the same time, the pressure load on the plate depends on the gap between the plate and the fluid bottom. The motion of the plate is accompanied by the fluid motion. This leads to the so-called co-vibrating mass of fluid, which strongly changes the eigenfrequencies of the plate. In formulation of this problem, a linear theory of small deflections of the plate is employed. In order to calculate the fluid pressure, a solution of Laplace’s equation is constructed in the doubly connected infinite fluid domain. To this end, this infinite domain is divided into sub-domains of simple geometry, and the solution of the problem equation is constructed separately for each of these domains. Numerical experiments are conducted to illustrate the formulation developed in this paper.

Słowa kluczowe

EN

elastic plate; free vibrations; forced vibrations; eigenfrequencies; co-vibrating mass of fluid

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2016
• Tom: Vol. 63, nr 2-3
• Strony: 191--213
• Opis fizyczny: Bibliogr. 5 poz., rys., tab.

Twórcy

autor

Szmidt K.

• Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Kościerska 7, 80-328 Gdańsk, Poland

autor

Hedzielski B.

• Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Kościerska 7, 80-328 Gdańsk, Poland

Bibliografia

• Nowacki W. (1972) Dynamics of Structure (in Polish), Arkady, Warszawa.
• Kerr A. D. & Palmer W. T. (1972) The deformation and stresses in floating ice plates, Acta Mechanica, 15.
• Sawicki A. (1975) Dynamics of floating roofs (in Polish), Engineering Transactions, 2.
• Sawicki A. (1976) Certain problems of hydroelasticity of plates (in Polish), Theoretical and Applied Mechanics, 1 [14], 3–17.
• Solecki R. (1966) Vibrations of a floating plate I, Bulletin of the Polish Academy of Sciences, Series Tech. Sc. 11–12, XIV, Warszawa.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).