Investigation of the free vibrations of noncircular cylindrical shells: PMM vol. 37, n≗6, 1973, pp. 1125–1134
An asymptotic method of integrating the free vibrations equations of a noncircular cylindrical shell, freely supported along the curvilinear edges, is proposed. The qualitative singularities of the vibrations associated with the fact that the shell is essentially noncircular are clarified. Numerical...
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Published in | Journal of applied mathematics and mechanics Vol. 37; no. 6; pp. 1068 - 1077 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
1973
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Online Access | Get full text |
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Summary: | An asymptotic method of integrating the free vibrations equations of a noncircular cylindrical shell, freely supported along the curvilinear edges, is proposed. The qualitative singularities of the vibrations associated with the fact that the shell is essentially noncircular are clarified. Numerical results are presented for the free vibrations frequencies and modes of a box shell which are compared to the results of the asymptotic analysis. It is supposed that the variability of the stress and strain states is great. |
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ISSN: | 0021-8928 0021-8928 |
DOI: | 10.1016/0021-8928(73)90072-5 |