Free vibration frequencies of prismatic thin shells
- Authors: Dzebisashvili G.T.1, Smirnov A.L.1, Filippov S.B.1
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Affiliations:
- St. Petersburg University
- Issue: Vol 24, No 1 (2024)
- Pages: 49-56
- Section: Mechanics
- URL: https://journals.rcsi.science/1816-9791/article/view/353473
- DOI: https://doi.org/10.18500/1816-9791-2024-24-1-49-56
- EDN: https://elibrary.ru/BFHZFQ
- ID: 353473
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Abstract
The paper examines the natural frequencies of prismatic thin shells, the cross-section of which is the regular polygon. Spectra of free vibration frequencies of such shells are analyzed as the number of cross-section sides increases, provided that the perimeter is preserved. The relation between fundamental frequencies of the prismatic shells with the regular polygonal cross-section and a circular cylindrical shell is discussed. For a small and large number of polygon sides analytical and asymptotic solutions are compared with numerical solutions obtained by the finite element method (COMSOL). The convergence of the numerical method is studied for the prismatic shell with a large number of facets.
About the authors
Georgii Tamazovich Dzebisashvili
St. Petersburg University
Email: d-g-t@bk.ru
ORCID iD: 0000-0001-8342-3065
Russia, 199034, St. Petersburg, Universitetskaya nab., 7-9
Andrei L. Smirnov
St. Petersburg University
Email: a.l.smirnov@spbu.ru
ORCID iD: 0000-0002-1526-2869
Russia, 199034, St. Petersburg, Universitetskaya nab., 7-9
Sergei Borisovich Filippov
St. Petersburg University
Author for correspondence.
Email: s_b_filippov@mail.ru
ORCID iD: 0000-0002-1312-5705
Scopus Author ID: 7006004880
Russia, 199034, St. Petersburg, Universitetskaya nab., 7-9
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