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11 - Vibrations of Isotropic and Laminated Composite Circular Cylindrical Shells

Published online by Cambridge University Press:  25 October 2018

Marco Amabili
Affiliation:
McGill University, Montréal
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Publisher: Cambridge University Press
Print publication year: 2018

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References

Alijani, F., Amabili, M. 2014 International Journal of Non-linear Mechanics 58, 233257. Non-linear vibrations of shells: A literature review from 2003 to 2013.CrossRefGoogle Scholar
Amabili, M. 2000 Journal of Sound and Vibration 231, 7997. Eigenvalue problems for vibrating structures coupled with quiescent fluids with free surface.CrossRefGoogle Scholar
Amabili, M. 2003a Journal of Sound and Vibration 262, 921975. Theory and experiments for large-amplitude vibrations of empty and fluid-filled circular cylindrical shells with imperfections.CrossRefGoogle Scholar
Amabili, M. 2003b Journal of Sound and Vibration 264, 10911125. Comparison of shell theories for large-amplitude vibrations of circular cylindrical shells: Lagrangian approach.CrossRefGoogle Scholar
Amabili, M. 2011 Composite Structures 94, 207220. Nonlinear vibrations of laminated circular cylindrical shells: comparison of different shell theories.CrossRefGoogle Scholar
Amabili, M. 2012a Nonlinear Dynamics 69, 755770. Internal resonances in non-linear vibrations of a laminated circular cylindrical shell.CrossRefGoogle Scholar
Amabili, M. 2012b Composite Structures 94, 36973709. Nonlinear vibrations of angle-ply laminated circular cylindrical shells: skewed modes.CrossRefGoogle Scholar
Amabili, M., Garziera, R. 1999 Journal of Sound and Vibration 224, 519539. A technique for the systematic choice of admissible functions in the Rayleigh-Ritz method.CrossRefGoogle Scholar
Amabili, M., Païdoussis, M. P. 2003 Applied Mechanics Reviews 56, 349381. Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction.CrossRefGoogle Scholar
Amabili, M., Balasubramanian, P., Ferrari, G., 2016 Journal of Sound and Vibration 381, 220245. Travelling wave and non-stationary response in nonlinear vibrations of circular cylindrical shells: experiments and simulations.CrossRefGoogle Scholar
Amabili, M., Garziera, R., Negri, A. 2002 Journal of Fluids and Structures 16, 213227. Experimental study on large-amplitude vibrations of water-filled circular cylindrical shells.CrossRefGoogle Scholar
Amabili, M., Pellicano, F., Païdoussis, M. P. 1998 Journal of Fluids and Structures 12, 883918. Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid.CrossRefGoogle Scholar
Amabili, M., Pellicano, F., Païdoussis, M. P. 1999a Journal of Sound and Vibration 225, 655699. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: stability.CrossRefGoogle Scholar
Amabili, M., Pellicano, F., Païdoussis, M. P. 1999b Journal of Sound and Vibration 228, 11031124. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid, Part II: large-amplitude vibrations without flow.CrossRefGoogle Scholar
Amabili, M., Pellicano, F., Païdoussis, M. P. 2000a Journal of Sound and Vibration 237, 617640. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part III: truncation effect without flow and experiments.CrossRefGoogle Scholar
Amabili, M., Pellicano, F., Païdoussis, M. P. 2000b Journal of Sound and Vibration 237, 641666. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part IV: large-amplitude vibrations with flow.CrossRefGoogle Scholar
Amabili, M., Pellicano, F., Vakakis, A. F. 2000c ASME Journal of Vibration and Acoustics 122, 346354. Nonlinear vibrations and multiple resonances of fluid-filled, circular shells, Part 1: equations of motion and numerical results.CrossRefGoogle Scholar
Chen, J. C., Babcock, C. D. 1975 AIAA Journal 13, 868876. Nonlinear vibration of cylindrical shells.CrossRefGoogle Scholar
Chu, H.-N. 1961 Journal of Aerospace Science 28, 602609. Influence of large-amplitudes on flexural vibrations of a thin circular cylindrical shell.CrossRefGoogle Scholar
Doedel, E .J., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Sandstede, B., Wang, X. 1998 AUTO 97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont). Concordia University, Montreal, Canada.Google Scholar
Dowell, E. H., Ventres, C. S. 1968 International Journal of Solids and Structures 4, 975991. Modal equations for the nonlinear flexural vibrations of a cylindrical shell.CrossRefGoogle Scholar
Evensen, D. A. 1963 AIAA Journal 1, 28572858. Some observations on the nonlinear vibration of thin cylindrical shells.CrossRefGoogle Scholar
Evensen, D. A. 1967 Nonlinear Flexural Vibrations of Thin-Walled Circular Cylinders. NASA TN D-4090. U.S. Government Printing Office, Washington, DC, USA.Google Scholar
Fu, Y. M., Chia, C. Y. 1993 International Journal of Non-Linear Mechanics 28, 313327. Non-linear vibration and postbuckling of generally laminated circular cylindrical thick shells with non-uniform boundary conditions.CrossRefGoogle Scholar
Ganapathi, M., Varadan, T. K. 1992 Finite Elements in Analysis and Design 12, 105116. Application of a field-consistent shear flexible element for nonlinear dynamic analysis of laminated shells.CrossRefGoogle Scholar
Ganapathi, M., Varadan, T. K. 1995 Composite Structures 30, 3349. Nonlinear free flexural vibrations of laminated circular cylindrical shells.CrossRefGoogle Scholar
Ganapathi, M., Varadan, T. K. 1996 Journal of Sound and Vibration 192, 114. Large amplitude vibrations of circular cylindrical shells.CrossRefGoogle Scholar
Ginsberg, J. H. 1973 Journal of Applied Mechanics 40, 471477. Large amplitude forced vibrations of simply supported thin cylindrical shells.CrossRefGoogle Scholar
Gonçalves, P. B., Batista, R. C. 1988 Journal of Sound and Vibration 127, 133143. Non-linear vibration analysis of fluid-filled cylindrical shells.CrossRefGoogle Scholar
Grigolyuk, E. I. 1955 Prikladnaya Matematika i Mekhanika 19, 376382. Vibrations of circular cylindrical panels subjected to finite deflections (in Russian).Google Scholar
Ibrahim, R. A. 2005 Liquid Sloshing Dynamics: Theory and Applications. Cambridge University Press, Cambridge, UK.CrossRefGoogle Scholar
Iu, V. P., Chia, C. Y. 1988a International Journal of Mechanical Sciences 30, 705718. Effect of transverse shear on nonlinear vibration and postbuckling of anti-symmetric cross-ply imperfect cylindrical shells.CrossRefGoogle Scholar
Iu, V. P., Chia, C. Y. 1988b International Journal of Solid Structures 24, 195210. Non-linear vibration and postbuckling of unsymmetric cross-ply circular cylindrical shells.CrossRefGoogle Scholar
Jansen, E. L. 2002 International Journal of Non-Linear Mechanics 37, 937949. Non-stationary flexural vibration behaviour of a cylindrical shell.CrossRefGoogle Scholar
Jansen, E. L. 2004 Computers and Structures 82, 26472658. A comparison of analytical-numerical models for nonlinear vibrations of cylindrical shells.CrossRefGoogle Scholar
Jansen, E. L. 2008a Journal of Sound and Vibration 315, 10351046. The effect of static loading and imperfections on the nonlinear vibrations of laminated cylindrical shells.CrossRefGoogle Scholar
Jansen, E. L. 2008b International Journal of Solids and Structures 45, 11241145. A perturbation method for nonlinear vibrations of imperfect structures: application to cylindrical shell vibrations.CrossRefGoogle Scholar
Jansen, E. L. 2008c Journal of Vibration and Acoustics 130, 011003. Effect of boundary conditions on nonlinear vibration and flutter of laminated cylindrical shells.CrossRefGoogle Scholar
Kubenko, V. D., Lakiza, V. D. 2000 International Applied Mechanics 36, 896902. Vibration effects of the dynamic interaction between a gas-liquid medium and elastic shells.CrossRefGoogle Scholar
Kubenko, V. D., Koval’chuk, P. S., Krasnopol’skaya, T. S. 1982 Soviet Applied Mechanics 18, 3439. Effect of initial camber on natural nonlinear vibrations of cylindrical shells.CrossRefGoogle Scholar
Kubenko, V. D., Koval’chuk, P. S., Kruk, L.A. 2003 Journal of Sound and Vibration 265, 245–268. Non-linear interaction of bending deformations of free-oscillating cylindrical shells.Google Scholar
Leissa, A. W. 1973 Vibrations of Shells. NASA SP-288, U.S. Government Printing Office, Washington, DC, USA (1993 reprinted by the Acoustical Society of America).Google Scholar
Meirovitch, L. 1967 Analytical Methods in Vibrations. Macmillan, New York. See pp. 211233.Google Scholar
Morand, H. J.-P., Ohayon, R. 1992 Interactions Fluides-Structures. Masson, Paris. (English edition 1995 Fluid Structure Interaction. J. Wiley, New York).Google Scholar
Nowinski, J. 1963 AIAA Journal 1, 617620. Nonlinear transverse vibrations of orthotropic cylindrical shells.CrossRefGoogle Scholar
Olson, M. D. 1965 AIAA Journal 3, 17751777. Some experimental observations on the nonlinear vibration of cylindrical shells.CrossRefGoogle Scholar
Païdoussis, M. P. 2003 Fluid-Structure Interactions: Slender Structures and Axial Flow, Vol. 2. Elsevier, London, UK.Google Scholar
Pellicano, F., Amabili, M., Païdoussis, M. P. 2002 International Journal of Non-Linear Mechanics 37, 11811198. Effect of the geometry on the nonlinear vibrations analysis of circular cylindrical shells.CrossRefGoogle Scholar
Pellicano, F., Amabili, M., Vakakis, A. F. 2000 ASME Journal of Vibration and Acoustics 122, 355364. Nonlinear vibrations and multiple resonances of fluid-filled, circular shells, Part 2: perturbation analysis.CrossRefGoogle Scholar
Popov, A. A., Thompson, J. M. T., McRobie, F. A. 2001 Journal of Sound and Vibration 248, 395411. Chaotic energy exchange through auto-parametric resonance in cylindrical shells.CrossRefGoogle Scholar
Reissner, E. 1955 Nonlinear effects in vibrations of cylindrical shells. Ramo-Wooldridge Corporation Report AM5–6.Google Scholar
Soedel, W. 1993 Vibrations of Shells and Plates, 2nd edition. Marcel Dekker, New York, USA.Google Scholar
Varadan, T. K., Prathap, G., Ramani, H. V. 1989 American Institute of Aeronautics and Astronautics Journal 27, 13031304. Non-linear free flexural vibration of thin circular cylindrical shells.CrossRefGoogle Scholar
Vol’mir, A. S. 1972 Nonlinear Dynamics of Plates and Shells (in Russian). Nauka, Moscow.Google Scholar
Watawala, L., Nash, W.A. 1983 Computers and Structures 16, 125130. Influence of initial geometric imperfections on vibrations of thin circular cylindrical shells.CrossRefGoogle Scholar
Wolfram, S. 1999 The Mathematica Book, 4th edition. Cambridge University Press, Cambridge, UK.Google Scholar
Yamaki, N. 1984 Elastic Stability of Circular Cylindrical Shells. North-Holland, Amsterdam, The Netherlands.Google Scholar

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