Abstract
This paper studies the free vibrations of finite, closed, circular cylindrical shells, made of one or more monoclinic layers. The study is based on the Love-type version of a unified shear-deformable shell theory. This theory enables the trial and testing of different through-thickness transverse shear-strain distributions and, among them, strain distributions that do not involve the undesirable implications of the transverse-shear correction factors. For flexural vibrations, the analytical solution of the corresponding axisymmetric solution is obtained, as a particular case, when it is assumed that the free-vibration pattern is independent of the circumferential co-ordinate parameter. If the appropriate material simplifications are employed, the present analysis yields, as a further particular case, the corresponding free-vibration solution that has already been presented elsewhere for cross-ply laminated cylindrical shells.
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Timarci, T., Soldatos, K.P. Vibrations of angle-ply laminated circular cylindrical shells subjected to different sets of edge boundary conditions. Journal of Engineering Mathematics 37, 211–230 (2000). https://doi.org/10.1023/A:1004794513444
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DOI: https://doi.org/10.1023/A:1004794513444