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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Bibliographic Details
Published inJournal of applied mathematics and mechanics Vol. 37; no. 6; pp. 1068 - 1077
Main Author Bergman, R.M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 1973
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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.
ISSN:0021-8928
0021-8928
DOI:10.1016/0021-8928(73)90072-5