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Vibrations of circular cylindrical shells: Theory and experiments

✍ Scribed by Francesco Pellicano


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
830 KB
Volume
303
Category
Article
ISSN
0022-460X

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✦ Synopsis


In the present paper, a method for analysing linear and nonlinear vibrations of circular cylindrical shells having different boundary conditions is presented; the method is based on the Sanders-Koiter theory. Displacement fields are expanded in a mixed double series based on harmonic functions and Chebyshev polynomials. Simply supported and clamped-clamped boundary conditions are analysed, as well as connections with rigid bodies; in the latter case experiments are carried out.

Comparisons with experiments and finite-element analyses show that the technique is computationally efficient and accurate in modelling linear vibrations of shells with different boundary conditions.

An application to large amplitude of vibration shows that the technique is effective also in the case of nonlinear vibration: comparisons with the literature confirm the accuracy of the approach.

The method proposed is a general framework suitable for analysing vibration of circular cylindrical shells both in the case of linear and nonlinear vibrations.


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By using a C0 continuous, QUAD-4 shear flexible shell element, based on the field consistency principle, the non-linear free flexural vibrations of thin circular cylindrical shells have been studied. The formulation is general in the sense that it includes anisotropy, transverse shear deformation, i