Vibration analysis of truncated conical shells subjected to flowing fluid

Applied Mathematical Modelling

Volumn 34, Issue 3, 2010, Pages 791-809

  Kerboua, Y ^a   Lakis, A A ^a   Hmila, M ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Anisotropic shells; Conical shells; Finite element; Flowing fluid; Fluid structure interaction; Vibration

Indexed keywords

ANISOTROPIC SHELLS; CONICAL SHELLS; FINITE ELEMENT; FLOWING FLUID; VIBRATION;

ANISOTROPY; CENTRIFUGATION; FINITE ELEMENT METHOD; FLUID DYNAMICS; FLUID STRUCTURE INTERACTION; FLUIDS; VIBRATION ANALYSIS;

SHELLS (STRUCTURES);

EID: 70350381755     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2009.06.028     Document Type: Article

References (27)

1. Liew K.M., Ng T.Y., and Zhao X. Free vibration analysis of conical shells via the element-free kp-Ritz method. J. Sound Vib. 281 (2005) 627-645
2. Saunder H., Wisniewski E.J., and Paslay P. Vibrations of conical shells. J. Acoust. Soc. Am. 32 6 (1960) 765-772
3. Lindholm U., and Hu W.C.L. Non-symmetric transverse vibrations of truncated conical shells. Int. J. Mech. Sci. 8 (1966) 561-579
4. Ramesh T.C., and Ganesan N. A finite element based on a discrete layer theory for the free vibration analysis of conical shells. J. Sound Vib. 166 3 (1993) 531-538
5. El Damatty A.A., Korol R.M., and Mirza F.A. Stability of elevated liquid-filled conical tanks under seismic loading, part I - theory. Earthquake Eng. Struct. Dynam. 26 (1997) 1191-1208
6. El Damatty A.A., Korol R.M., and Mirza F.A. Stability of elevated liquid-filled conical tanks under seismic loading, part II - applications. Earthquake Eng. Struct. Dynam. 26 (1997) 1209-1229
7. Shu C. An efficient approach for free vibration analysis of conical shells. Int. J. Mech. Sci. 38 8-9 (1996) 935-949
8. C.T.F. Ross, A. Seers, Non-linear vibration of ring-stiffened conical shells under external water pressure, in: Proceedings of Developments in Computer Aided Design and Modelling for Structural Engineering, Edinburg, UK, 1995, pp. 169-175.
9. Nishimura T., and Shingu K. Theoretical and experimental studies on natural vibration of a submerged conical shell, Ocean Space Utilization 85. Proceedings of the International Symposium, Tokyo Japan (1985), Springer-Verlag 393-400
10. Vandepitte D., Rathe J., Verhegghe B., Paridaens R., and Verschave C. Experimental investigation of buckling of hydroelasticity loaded, conical shells and practical evaluate of the buckling load, buckling of shells. Proceedings of a State-of-the-Art Colloquium (1982), Springer-Verlag, Berlin 375-399
11. Sweedan A.M.I., and El Damatty A.A. Experimental identification of the vibration modes of liquid-filled conical tanks and validation of a numerical model. Earthquake Eng. Struct. Dynam. 32 (2003) 1407-1430
12. Sweedan A.M.I., and El Damatty A.A. Equivalent models of pure conical tanks under vertical ground excitation. J. Struct. Eng. 131 5 (2005) 375-399
13. Senthil Kumar D., and Ganesan N. Dynamic analysis of conical shells conveying fluid. J. Sound Vib. 310 (2008) 38-57
14. Lakis A.A., Van Dyke P., and Ouriche H. Dynamic analysis of anisotropic fluid-filled conical shells. J. Fluid. Struct. 6 2 (1992) 135-162
15. Lakis A.A., and Pai{dotless}̈doussis M.P. Prediction of the response of a cylindrical shell to arbitrary or boundary-layer-induced random pressure fields. J. Sound Vib. 25 1 (1972) 1-27
16. J.L. Sanders, An improved first-approximation theory for thin shells, NASA TR-24, 1959.
17. Reissner E. A new derivation of the equation for the deformation of elastic shells. Am. J. Math. 63 (1941) 177-184
18. V.S. Vlasov, Basic Differential Equations in General Theory of Elastic Shells, NACA-TM-1241, 1951, p. 58.
19. Timoshenko S. Theory of Plates and Shells (1959), McGraw-Hill, New York
20. Flugge W. Stresses in Shells. second ed. (1973), Springeer-Verlag, Berlin
21. A.A. Lakis, H. Ouriche, Dynamic analysis of anisotropic conical shells, Technical Report: EPM/RT-86-36, École polytechnique of Montréal, 1986.
22. Zienkiewicz O.C., and Taylor R.L. The Finite Element Method. fifth ed. (2000), Butterworth-Heineman
23. 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
24. Korn G.A., and Korn T.M. Mathematical Handbook for Scientists and Engineers. second ed. (1968), McGraw-Hill, New York
25. Liepman H.W., and Roshko A. Elements of Gas Dynamics (1957), Wiley, New York
26. Lakis A.A., and Pai{dotless}̈doussis M.P. Free vibration of cylindrical shells partially filled with liquid. J. Sound Vib. 19 1 (1971) 1-15
27. A.A. Lakis, C. Dupuis, M.P. Paidoussis, Dynamic stability of fluid-conveying cylindrical shells using a hybrid finite element approach, in: Proceedings of the 7th International Conference on Flow-Induced Vibration, FIV2000, Lucerne, Switzerland, 2000.