| ATTRIBUTE | VALUE |
|---|
| type | A |
| database id | 8950 |
| title | Added mass of fluid and fundamental frequencies of a horizontal elastic circular plate vibrating in fluid of constant depth |
| authors | Szmidt K.1, Hedzielski B.1 |
| affiliations | |
| pages | 163 — 186 |
| DOI | 10.1515/heem-2017-0011 |
| full text link | https://sciendo.com/pdf/10.1515/heem-2017-0011 |
| keywords | circular elastic plate, free vibrations, co-vibrating mass of fluid, eigenfrequencies |
| abstracts | 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. |
| attributes | [reviewed] [scientific] |
| language | en |
| PART OF |
|---|
| type | C |
| database id | 8949 |
| year | 2017 |
| series | Archives of Hydro-Engineering and Environmental Mechanics |
| issue | Vol. 64, No. 3-4 |
| publisher | Wydawnictwo IBW PAN |