Free vibrations of annular plates coupled with fluids

Journal of Sound and Vibration

Volumn 191, Issue 5, 1996, Pages 825-846

  Amabili, M ^c   Frosali, G ^a   Kwak, M K ^b  

^a UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

^b University of New Mexico   (United States)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FLUIDS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NATURAL FREQUENCIES; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); VACUUM APPLICATIONS; VELOCITY;

ADDED MASS APPROACH; ANNULAR PLATES; FREE VIBRATIONS; GALERKIN EQUATION; HANKEL TRANSFORM; IRROTATIONAL MOTION; RAYLEIGH QUOTIENT; RAYLEIGH RITZ METHOD;

VIBRATIONS (MECHANICAL);

EID: 0030128881     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0158     Document Type: Article

References (33)

1. G. KIRCHHOFF 1850 Math. J. (Crelle's Journal) 40(5), 51-58. Über das Gleichgewicht und die Bewegung einer elastischen Scheibe.
2. R. V. SOUTHWELL 1922 Proceedings of the Royal Society (London) 101, 133-153. On the free transverse vibrations of uniform circular disc clamped at its center; and on the effects of rotation.
3. S. M. VOGEL and D. W. SKINNER 1965 Journal of Applied Mechanics 32, 926-931. Natural frequencies of transversely vibrating uniform annular plates.
4. A. W. LEISSA 1969 Vibration of Plates, NASA SP-160. Washington, D.C.: U.S. Government Printing Office.
5. D. F. DE SANTO 1981 Journal of Pressure Vessel Technology 103, 175-182. Added mass and hydrodynamic damping of perforated plates vibrating in water.
6. Y. KUBOTA and T. SUZUKI 1984 Transactions of the Japan Society of Mechanical Engineers C 50, 243-248. Added mass effect on disk vibrating in fluid.
7. M. AMABILI and G. FROSALI 1994 Rapporto 4, Dipartimento di Matematica "V. Volterra", University of Ancona. Vibrazioni di piastre anulari immerse in un liquido.
8. M. AMABILI 1994 Proceedings of the First International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, 3-5 October, Ancona, Italy, 421-429. Modal properties of annular plates vibrating in water.
9. M. K. KWAK and K. C. KIM 1991 Journal of Sound and Vibration 146, 381-389. Axisymmetric vibration of circular plates in contact with fluid.
10. M. K. KWAK 1991 Journal of Applied Mechanics 58, 480-483. Vibration of circular plates in contact with water.
11. M. AMABILI and M. K. KWAK 1995 Journal of Fluids and Structures (submitted). Free vibration of circular plates coupled with liquid: revising the lamb problem.
12. M. AMABILI, G. DALPIAZ and C. SANTOLINI 1994 Proceedings of the 12th International Modal Analysis Conference, 31 January-3 February, Honolulu, Hawaii I, 349-355. Free vibration of free-edge circular plates immersed in water.
13. M. AMABILI, G. DALPIAZ and C. SANTOLINI 1995 Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis 10, 187-202. Free-edge circular plates vibrating in water.
14. G. BHUTA and L. R. KOVAL 1964 Journal of the Acoustical Society of America 36, 2071-2079. Hydroelastic solution of the sloshing of a liquid in a cylindrical tank.
15. P. TONG American Institute of Aeronautics and Astronautics Journal 5, 1842-1848. Liquid motion in a circular cylindrical container with a flexible bottom.
16. J. SIEKMANN and S. C. CHANG 1968 Ingenieur Archiv 37, 99-109. On the dynamics of liquid in a cylindrical tank with a flexible bottom.
17. H. F. BAUER, S. S. CHANG and J. T. S. WANG 1971 American Institute of Aeronautics and Astronautics Journal 9, 2333-2339. Nonlinear liquid motion in a longitudinal excited container with elastic bottom.
18. M. CHIBA 1992 Journal of Fluids and Structures 6, 181-206. Nonlinear hydroelastic vibration of a cylindrical tank with an elastic bottom, containing liquid, part I: experiment.
19. M. CHIBA 1993 Journal of Fluids and Structures 7, 57-73. Nonlinear hydroelastic vibration of a cylindrical tank with an elastic bottom, containing liquid, part II: linear axisymmetric vibration analysis.
20. M. CHIBA 1994 Journal of Sound and Vibration 169, 387-394. Axisymmetric free hydroelastic vibration of a flexural bottom plate in a cylindrical tank supported on an elastic foundation.
21. H. F. BAUER and J. SIEKMANN 1971 Ingenieur Archiv 40, 266-280. Dynamic interaction of a liquid with the elastic structure of a circular cylindrical container.
22. P. HAGEDORN 1994 Journal of Sound and Vibration 175, 233-240. A note on the vibrations of infinite elastic plates in contact with water.
23. S. D. POISSON 1829 Memoires de l'Académie royale des Sciences de l'Institut de France, ser 2, tome VIII, 357. L'equilibre et le mouvement des corps elastiques.
24. L. MEIROVITCH 1986 Elements of Vibration Analysis. New York: McGraw-Hill; second edition. See pp. 270-282.
25. F. ZHU 1994 Journal of Sound and Vibration 171, 641-649. Rayleigh quotients for coupled free vibrations.
26. I. N. SNEDDON 1966 Mixed boundary-value problems in Potential Theory. Amsterdam: North-Holland.
27. A. P. PRUDNIKOV, YU. A. BRYCHKOV and O. I. MARICHEV 1990 Integrals and Series. Special Functions 2. New York: Gordon and Breach.
28. A. D. WHEELON 1968 Tables of Summable Series and Integrals Involving Bessel Functions. San Francisco: Holden-Day.
29. H. LAMB 1945 Hydrodynamics. New York: Dover. See p. 46.
30. S. WOLFRAM 1988 Mathematica: A System of Doing Mathematics by Computer. Redwood, California: Addison-Wesley.
31. H. LAMB 1921 Proceedings of the Royal Society (London) A98, 205-216. On the vibrations of an elastic plate in contact with water.
32. N. W. MCLACHLAN 1932 Proceedings of the Physical Society (London) 44, 546-555. The accession to inertia of flexible discs vibrating in a fluid.
33. F. M. ESPINOSA and A. G. GALLEGO-JUÁREZ 1984 Journal of Sound and Vibration 94, 217-222. On the resonance frequencies of water-loaded circular plates.