A nonlinear vibration analysis of laminated cylindrical shells is presented in which the effect of the specified boundary conditions at the shell edges, including nonlinear fundamental state deformations, can be accurately taken into account. The method is based on a perturbation expansion for both the frequency parameter and the dependent variables. The present theory includes the effects of finite vibration amplitudes, initial geometric imperfections, and a nonlinear static deformation. Nonlinear Donnell-type equations formulated in terms of the radial displacement and an Airy stress function are used, and classical lamination theory is employed. Furthermore, an extension of the theory is presented to analyze linearized flutter in supersonic flow, based on piston theory. The effect of different types of boundary conditions on the nonlinear vibration and linearized flutter behavior of cylindrical shells is illustrated for several characteristic cases.
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February 2008
Research Papers
Effect of Boundary Conditions on Nonlinear Vibration and Flutter of Laminated Cylindrical Shells
E. L. Jansen
E. L. Jansen
Faculty of Aerospace Engineering,
e-mail: E.L.Jansen@TUDelft.nl
Delft University of Technology
, Kluyverweg 1, 2629 HS Delft, The Netherlands
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E. L. Jansen
Faculty of Aerospace Engineering,
Delft University of Technology
, Kluyverweg 1, 2629 HS Delft, The Netherlandse-mail: E.L.Jansen@TUDelft.nl
J. Vib. Acoust. Feb 2008, 130(1): 011003 (8 pages)
Published Online: November 12, 2007
Article history
Received:
August 18, 2006
Revised:
May 24, 2007
Published:
November 12, 2007
Citation
Jansen, E. L. (November 12, 2007). "Effect of Boundary Conditions on Nonlinear Vibration and Flutter of Laminated Cylindrical Shells." ASME. J. Vib. Acoust. February 2008; 130(1): 011003. https://doi.org/10.1115/1.2775512
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