Vibration of vertical rectangular plate in contact with water on one side

Earthquake Engineering and Structural Dynamics

Volumn 29, Issue 5, 2000, Pages 693-710

  Zhou, Ding ^a   Cheung, Y K ^b  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Analytical Ritz method; Fluid plate interaction; Hydroelastic dynamics; Rectangular plate; Structural dynamics; Vibration

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HYDRODYNAMICS; HYDROELASTICITY; INTEGRAL EQUATIONS; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); STIFFNESS; VARIATIONAL TECHNIQUES; VIBRATIONS (MECHANICAL); WATER;

ADDED VIRTUAL MASS INCREMENTAL; ANALYTICAL RITZ METHOD; STRUCTURAL DYNAMICS; VERTICAL RECTANGULAR PLATE;

STRUCTURAL ANALYSIS;

VIBRATION; WATER;

EID: 0034063259     PISSN: 00988847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9845(200005)29:5<693::AID-EQE934>3.0.CO;2-V     Document Type: Article

References (17)

1. Lamb H. On the vibrations of an elastic plate in contact with water. Proceedings of the Royal Society of London 1921; A98: 205-216.
2. McLachlan NW. The accession to inertia of flexible discs vibrating in a fluid. Proceedings of the Physical Society of London 1932; 44; 546-555.
3. Abramson HN. The dynamic behavior of liquids in moving containers, with applications to space vehicle technology. NASA SP-106, 1966.
4. Morand HJP, Ohayon R. Fluid Structure Interaction: Applied Numerical Methods. Wiley: Chichester, 1995.
5. Amabili M, Kwak MK. Free vibrations of circular plates coupled with liquids: revising the Lamb problem. Journal of Fluids and Structures 1996; 10: 743-761.
6. Chiba M. Axisymmetric free hydroelastic vibration of a flexural bottom plate in a cylindrical tank supported on an elastic foundation. Journal of Sound and Vibration 1994; 169: 387-394.
7. Bauer HF. Hydroelastic vibrations in a rectangular container. International Journal of Solids and Structures 1981; 17: 639-652.
8. Soedel SM, Soedel W. On the free and forced vibration of a plate supporting a freely sloshing surface liquid. Journal of Sound and Vibration 1994; 171: 159-171.
9. Cheung YK, Cao Z, Wu SY. Dynamic analysis of prismatic structures surrounded by an infinite fluid medium. Earthquake engineering and Structural Dynamics 1985; 13: 351-360.
10. Amabili M. Effect of finite fluid depth on the hydroelastic vibrations of circular and annular plates. Journal of Sound and Vibration 1996; 193: 909-925.
11. Kwak MK, Hydroelastic vibrations of rectangular plates. Journal of Applied Mechanics ASME 1996; 63: 110-115.
12. Marcus MS. A finite-element method applied to the vibration of submerged plates. Journal of Ship Research 1978; 22: 94-99.
13. Zienkiewicz OC, Bettess P. Fluid-structure dynamic interaction and wave forces, an introduction to numerical treatment. International Journal of Numerical Methods in Engineering 1978; 13: 1-16.
14. Kwak MK, Kim KC. Axisymmetric vibration of circular plates in contact with fluid. Journal of Sound and Vibration 1991; 146: 381-389.
15. Kwak MK. Vibration of circular plates in contact with water. Journal of Applied Mechanics ASME 1991; 58: 480-483.
16. Chiba M. Nonlinear hydroelastic vibration of a cylindrical tank with an elastic bottom, containing liquid, part II: linear axisymmetric vibration analysis. Journal of Fluids and Structures 1993; 7: 57-73.
17. Leissa AW. Vibration of plates. NASA-160, 1969.