Vibration analysis of rectangular plates coupled with fluid

Applied Mathematical Modelling

Volumn 32, Issue 12, 2008, Pages 2570-2586

  Kerboua, Y ^a   Lakis, A A ^a   Thomas, M ^b   Marcouiller, L ^c  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b ÉCOLE DE TECHNOLOGIE SUPÉRIEURE   (Canada)

^c HYDRO QUÉBEC   (Canada)

Author keywords

Added mass; Finite element; Floating and submerged rectangular plates; Vibration

Indexed keywords

CHLORINE COMPOUNDS; FINITE ELEMENT METHOD; FLUIDS; FUNCTION EVALUATION; LATTICE VIBRATIONS; MATHEMATICAL MODELS; STIFFNESS MATRIX; VIBRATION ANALYSIS; VIBRATIONS (MECHANICAL);

ADDED MASS; ADDED MASSES; ANALYTICAL APPROACHES; ANALYTICAL INTEGRATION; BERNOULLI'S EQUATIONS; COMPLEX STRUCTURES; EXPONENTIAL FUNCTIONS; FINITE ELEMENT; FINITE-ELEMENT METHODS; FLOATING AND SUBMERGED RECTANGULAR PLATES; FLUID INTERFACES; FLUID LEVELS; FLUID PRESSURES; FREE SURFACES; IN-PLANE; KEY COMPONENTS; OUT-OF-PLANE DISPLACEMENT; RECTANGULAR PLATES; SHELL THEORY; STRUCTURAL SHAPES; VELOCITY POTENTIALS; VIBRATION;

PLATES (STRUCTURAL COMPONENTS);

EID: 50349092649     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2007.09.004     Document Type: Article

References (36)

1. Lamb H. On the vibrations of an elastic plate in contact with water. Proc. Roy. Soc. A 98 (1921) 205-216
2. Powell J.H., and Roberts J.H.T. On the frequency of vibration of circular diaphragms. Proc. Phys. Soc. Lond. 35 (1923) 170-182
3. Lindholm U.S., Kana D.D., Chu W.H., et al. Elastic vibration characteristics of cantilever plates in water. J. Ship Res. 9 1 (1965) 11-22
4. Fu Y., and Price W.G. Interactions between a partially or totally immersed vibrating cantilever plate and the surrounding fluid. J. Sound Vibrat. 118 3 (1987) 495-513
5. Kwak M.K., and Kim K.C. Axisymmetric vibration of circular plates in contact with fluid. J. Sound Vibrat. 146 (1991) 381-389
6. Kwak M.K. Hydroelastic vibration of circular plates. J. Sound Vibrat. 201 3 (1997) 293-303
7. Haddara M.R., and Cao S. A study of the dynamic response of submerged rectangular flat plates. Mar. Struct. 9 (1996) 913-933
8. Amabili M. Vibrations of circular plates resting on a sloshing liquid, solution of the fully coupled problem. J. Sound Vibrat. 245 2 (2001) 261-283
9. Sanders J.L. An improved first approximation theory for thin shell. NASA TR-24 (1959)
10. Lakis A.A., and Paidoussis M.P. Free vibration of cylindrical shells partially filled with liquid. J. Sound Vibrat. 19 1 (1971) 1-15
11. Selmane A., and Lakis A.A. Vibration analysis of anisotropic open cylindrical shells subjected to a flowing fluid. J. Fluid Struct. 11 (1997) 111-134
12. Charbonneau E., and Lakis A.A. Semi-analytical shape functions in the finite element analysis of rectangular plates. J. Sound Vibrat. 242 3 (2001) 427-443
13. Kwak M.K. Hydroelastic vibration of rectangular plates. Trans. ASME J. Appl. Mech. 63 1 (1996) 110-115
14. Y. Kerboua, A.A. Lakis, M. Thomas et al., Comportement dynamiques des plaques rectangulaires submergées, Technical Report EPM-RT-2005-05, Ecole Polytechnique of Montreal, Canada, 2005.
15. Kim K.C., Kim J.S., and Lee H.Y. An experimental study on the elastic vibration of plates in contact with water. J. Soc. Naval Arch. Kor. 16 2 (1979) 1-7
16. Reissner E. A new derivation of the equation for the deformation of elastic shells. Am. J. Math. 63 (1941) 177-184
17. Vlasov V.S. Basic differential equations in general theory of elastic shells. NACA-TM-1241 (1951) 59
18. Timoshenko S. Theory of Plates and Shells (1959), McGraw-Hill, New York
19. G.C. Volcy, P. Morel, M. Bureau, et al., Some studies and researches related to the hydro-elasticity of steel work, in: Proceedings of the 122nd Euromech Colloquium on numerical analysis of the dynamics of ship structures, Ecole Polytechnique, Paris, 1979, pp. 403-406.
20. Soedel S.M., and Soedel W. On the free and forced vibration of a plate supporting a freely sloshing surface liquid. J. Sound Vibrat. 171 2 (1994) 159-171
21. Amabili M., Frosali G., and Kawk M.K. Free vibrations of annular plates coupled with fluids. J. Sound Vibrat. 191 5 (1996) 825-846
22. Toorani M.H., and Lakis A.A. Dynamic analysis of anisotropic cylindrical shells containing flowing fluid, Transactions of the ASME. J. Pressure Vessel Technol. 123 4 (2001) 454-460
23. Cheung Y.K., and Zhou D. Hydroelastic vibration of a circular container bottom plate using the Galerkin method. J. Fluid Struct. 16 4 (2002) 561-580
24. Kwak M.K., and Han S.B. Effect of fluid depth on the hydroelastic vibration of free-edge circular plate. J. Sound Vibrat. 230 1 (2000) 171-185
25. Liang C.C., Liao C.C., et al. The free vibration analysis of submerged cantilever plates. Ocean Eng. 28 (2001) 1225-1245
26. Cheung Y.K., and Zhou D. Coupled vibratory characteristics of a rectangular container bottom plate. J. Fluid Struct. 14 (2000) 339-357
27. Ergin A., and Ugurlu B. Linear vibration analysis of cantilever plates partially submerged in fluid. J. Fluid Struct. 17 (2003) 927-939
28. Meylan M.H. The forced vibration of a thin plate floating on an infinite liquid. J. Sound Vibrat. 205 5 (1997) 581-591
29. Toorani M.H., and Lakis A.A. General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects. J. Sound Vibrat. 237 3 (2000) 561-615
30. Toorani M.H., and Lakis A.A. Large amplitude vibrations of anisotropic cylindrical shells. Comput. Struct. 82 23-26 (2004) 2015-2025
31. Toorani M.H., and Lakis A.A. Dynamics behaviour of axisymmetric and beam-like anisotropic cylindrical shells conveying fluid. J. Sound Vibrat. 259 2 (2003) 265-298
32. Amabili M., Paidoussis M.P., and Lakis A.A. Vibrations of partially filled cylindrical tanks with ring-stiffeners and flexible bottom. J. Sound Vibrat. 213 2 (1998) 259-299
33. Toorani M.H., and Lakis A.A. Shear deformation in dynamic analysis of anisotropic laminated open cylindrical shells filled with or subjected to a flowing fluid. Comput. Meth. Appl. Mech. Eng. 190 37-38 (2001) 4929-4966
34. Selmane A., and Lakis A.A. Natural frequencies of transverse vibrations of non-uniform circular and annular plates. J. Sound Vibrat. 220 2 (1999) 225-249
35. Selmane A., and Lakis A.A. Non-linear dynamic analysis of orthotropic open cylindrical shells subjected to a flowing fluid. J. Sound Vibrat. 202 1 (1997) 67-93
36. Lakis A.A., and Neagu S. Free surface effects on the dynamics of cylindrical shells partially filled with liquid. J. Sound Vibrat. 207 2 (1997) 175-205