Nonlinear free flexural vibration of thin circular cylindrical shells

Prathap's (1978) comments on the topic of the nonlinear vibrations of isotropic circular cylindrical shells have led to the present treatment, in which the assumed deflected shape plays an important role in the nonlinear behavior of the shell. Two appropriate three-term mode shapes are chosen f...

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Bibliographic Details
Published in:AIAA journal 1989-09, Vol.27 (9), p.1303-1304
Main Authors: Varadan, T. K, Prathap, G, Ramani, H. V
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:Prathap's (1978) comments on the topic of the nonlinear vibrations of isotropic circular cylindrical shells have led to the present treatment, in which the assumed deflected shape plays an important role in the nonlinear behavior of the shell. Two appropriate three-term mode shapes are chosen for the transverse displacement. The modal equations obtained by the Galerkin method are solved by the fourth-order Runge-Kutta method to obtain the amplitude-frequency relationship. The numerical results of this study are compared with existing experimental values. (O.C.)
ISSN:0001-1452
1533-385X
DOI:10.2514/3.10263