Nonlinear vibrations of fluid-filled clamped circular cylindrical shells

Journal of Fluids and Structures

Volumn 21, Issue 5-7 SPEC. ISS., 2005, Pages 579-595

  Karagiozis, K N ^a   Amabili, M ^b   Païdoussis, Mary P ^a   Misra, A K ^a  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

Analytical models; Clamped ends; Comparison to experiments; Donnell equations; Nonlinear dynamics; Shell vibrations

Indexed keywords

AXIAL FLOW; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; GALERKIN METHODS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; POTENTIAL FLOW; VARIATIONAL TECHNIQUES; VIBRATIONS (MECHANICAL);

ANALYTICAL MODELS; CLAMPED ENDS; DONNELL EQUATIONS; SHELL VIBRATIONS;

FLUID STRUCTURE INTERACTION;

CIRCULAR CYLINDER; FLUID-STRUCTURE INTERACTION; MATHEMATICAL ANALYSIS; NON-LINEAR DYNAMICS; VIBRATION;

EID: 28444455534     PISSN: 08899746     EISSN: 10958622     Source Type: Journal    
DOI: 10.1016/j.jfluidstructs.2005.07.020     Document Type: Article

References (24)

1. M. Amabili Nonlinear vibrations of circular cylindrical shells with different boundary conditions AIAA Journal 41 2003 1119-1130
2. M. Amabili Theory and experiments for large-amplitude vibrations of empty and fluid-filled circular cylindrical shells with imperfections Journal of Sound and Vibration 262 2003 921-975
3. M. Amabili Comparison of different shell theories for large-amplitude vibrations of empty and fluid-filled circular cylindrical shells with and without imperfections: Lagrangian approach Journal of Sound and Vibration 264 2003 1091-1125
4. M. Amabili R. Garziera Vibrations of circular cylindrical shells with nonuniform constraints, elastic bed and added mass; Part I: Empty and fluid-filled shells Journal of Fluids and Structures 14 2000 669-690
5. M. Amabili M.P. Païdoussis Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction Applied Mechanics Reviews 56 2003 105-125
6. M. Amabili F. Pellicano M.P. Païdoussis Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: Stability Journal of Sound and Vibration 225 1999 655-699
7. M. Amabili F. Pellicano M.P. Païdoussis Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part III: Truncation effect without flow and experiments Journal of Sound and Vibration 237 2000 617-640
8. C.Y. Chia Non-linear free vibration and postbuckling of symmetrically laminated orthotropic imperfect shallow cylindrical panels with two adjacent edges simply supported and the other edges clamped International Journal of Solids and Structures 23 1987 1123-1132
9. C.Y. Chia Nonlinear vibration and postbuckling of unsymmetrically laminated imperfect shallow cylindrical panels with mixed boundary conditions resting on elastic foundation International Journal of Solids and Structures 25 1987 427-441
10. M. Chiba Experimental studies on a nonlinear hydroelastic vibration of a clamped cylindrical tank partially filled with liquid ASME Journal of Pressure Vessel Technology 115 1993 381-388
11. E.J. Doedel A.R. Champneys T.F. Fairgrieve Y.A. Kuznetsov B. Sandstede X. Wang AUTO 97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont) 1998 Concordia University Montreal, Canada
12. L.H. Donnell Beams, Plates, and Shells 1976 McGraw-Hill, Inc. New York
13. E.H. Dowell C.S. Ventres Modal equations for the nonlinear flexural vibrations of a cylindrical shell International Journal of Solids and Structures 4 1968 975-991
14. Y.M. Fu C.Y. Chia Non-linear vibration and postbuckling of generally laminated circular cylindrical thick shells with non-uniform boundary conditions International Journal of Non-Linear Mechanics 28 1993 313-327
15. P.B. Gonçalves R.C. Batista Non-linear vibration analysis of fluid-filled cylindrical shells Journal of Sound and Vibration 127 1988 133-143
16. Gunawan, L., 1998. Experimental study of nonlinear vibrations of thin-walled cylindrical shells. Ph.D. Thesis, Faculty of Aerospace Engineering, Technische Universiteit Delft, The Netherlands.
17. V.P. Iu C.Y. Chia Non-linear vibration and postbuckling of unsymmetric cross-ply circular cylindrical shells International Journal of Solid Structures 24 1988 195-210
18. Y. Kobayashi A.W. Leissa Large-amplitude free vibration of thick shallow shells supported by shear diaphragms International Journal of Non-Linear Mechanics 30 1995 57-66
19. A.W. Leissa Vibration of Shells, NASA SP-288 1973 Government Printing Office Washington, DC now available from The Acoustical Society of America (1993)
20. Y. Matsuzaki S. Kobayashi A theoretical and experimental study of the nonlinear flexural vibration of thin circular shells with clamped ends Transactions of the Japan Society for Aeronautical and Space Sciences 12 1969 55-62
21. M.P. Païdoussis Fluid-Structure Interactions. Slender Structures and Axial Flow vol. 2 2003 Elsevier Academic Press London
22. S. Wolfram The Mathematica Book fourth ed 1999 Cambridge University Press Cambridge
23. N. Yamaki Elastic Stability of Circular Cylindrical Shells 1984 North-Holland Amsterdam
24. J. Yuan S.M. Dickinson On the use of artificial springs in the study of the free vibrations of systems comprised of straight and curved beams Journal of Sound and Vibration 152 1992 203-216