Vibration of simply supported plates in contact with liquid by using membrane curvilinear elements

• Autorzy: Sygulski Ryszard

Identyfikatory

DOI

10.21008/j.0860-6897.2020.3.23

• Języki publikacji: EN

Abstrakty

EN

This paper concerns the free vibrations of a simply supported plate in contact with liquid on one side. The plate is placed into a hole of an infinite rigid wall. The analysed problem is a coupled problem of the fluid-structure type. It is assumed that the fluid is inviscid and incompressible. The boundary integral equation is used for describing the hydrodynamic pressure. The plate equation is formulated in the form of two harmonic equations. The surface of the plate is discretized using triangular curvilinear 6-node elements of the membrane type. These elements are simultaneously the finite elements for the plate and the boundary elements for the liquid. Numerical examples of the free vibrations of circular and rectangular plates are considered and are compared with analytical and analytical-numerical solutions.

Słowa kluczowe

EN

fluid-structure interaction; hydroelastic vibrations; BEM and FEM coupling

PL

oddziaływanie płyn-struktura; drgania hydrosprężyste; BEM-FEM

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2020
• Tom: Vol. 31, nr 3
• Strony: art. no. 2020323
• Opis fizyczny: Bibliogr. 7 poz., rys., 1 wykr.

Twórcy

autor

Sygulski Ryszard

• The President Stanisław Wojciechowski State University of Applied Sciences in Kalisz, Nowy Świat 4, 62-800 Kalisz, Poland

Bibliografia

• 1. M. K. Kwak, Hydroelastic vibration of rectangular plate, ASME Journal of Applied Mechanics, 63 (1996) 110-115.
• 2. M. Amabili, M. K. Kwak, Free vibrations of circular plates coupled with liquids: revising the Lamb problem, Journal of Fluids and Structures, 10(7) (1996) 743-761.
• 3. R. Szilard, Theory and Analysis of Plates: classical and numerical methods, Prentice-Hall, New Jersey 1974.
• 4. Lord Rayleigh, Theory of Sound, Macmillan, London 1896.
• 5. K. H. Huebner, The Finite Element Method for Engineers, John Wiley, New York 1975.
• 6. C. A. Brebbia, J. C. F. Telles and L. C. Wrobel, Boundary Element Technique, Springer-Verlag, Berlin 1984
• 7. R. Sygulski, Vibrations of pneumatic structures interacting with air, Computers and Structures, 49 (1993) 867-876.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).