Free vibrations of circular cylindrical shells with a small added concentrated mass
- Authors: Leizerovich G.S.1, Seregin S.V.1
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Affiliations:
- Komsomolsk-on-Amur State Technical University
- Issue: Vol 57, No 5 (2016)
- Pages: 841-846
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159681
- DOI: https://doi.org/10.1134/S0021894416050102
- ID: 159681
Cite item
Abstract
The effect of a small added mass on the frequency and shape of free vibrations of a thin shell is studied using shallow shell theory. The proposed mathematical model assumes that mass asymmetry even in a linear formulation leads to coupled radial flexural vibrations. The interaction of shape-generating waves is studied using modal equations obtained by the Bubnov–Galerkin method. Splitting of the flexural frequency spectrum is found, which is caused not only by the added mass but also by the wave-formation parameters of the shell. The ranges of the relative lengths and shell thicknesses are determined in which the interaction of flexural and radial vibrations can be neglected.
About the authors
G. S. Leizerovich
Komsomolsk-on-Amur State Technical University
Email: Sereginkomshome@yandex.ru
Russian Federation, Komsomolsk-on-Amur, 681013
S. V. Seregin
Komsomolsk-on-Amur State Technical University
Author for correspondence.
Email: Sereginkomshome@yandex.ru
Russian Federation, Komsomolsk-on-Amur, 681013