Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis. / Filippov, S. B. ; Smirnov, A. L. ; Nesterchuk, Grigory A.
в: Vestnik St. Petersburg University: Mathematics, Том 56, № 1, 01.03.2023, стр. 84–92.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis.
AU - Filippov, S. B.
AU - Smirnov, A. L.
AU - Nesterchuk, Grigory A.
N1 - Filippov, S.B., Smirnov, A.L. & Nesterchuk, G.A. Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis. Vestnik St.Petersb. Univ.Math. 56, 84–92 (2023). https://doi.org/10.1134/S1063454123010065
PY - 2023/3/1
Y1 - 2023/3/1
N2 - The low eigenfrequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end cap in the form of a shallow spherical segment attached to it are investigated using numerical and asymptotic methods. Three types of natural vibrations of the structure are distinguished. The eigenfrequencies and vibration modes of the first type are close to the frequencies and vibration modes of a shallow spherical shell, the modes and frequencies of the second type, to the frequencies and modes of a cylindrical shell, and the third type, to the frequencies and vibration modes of a cantilever beam with a load at the end. In this article, approximate values for the frequencies of vibrations of the first type are found using asymptotic methods. Asymptotic and numerical results obtained using the finite-element method are in good agreement.
AB - The low eigenfrequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end cap in the form of a shallow spherical segment attached to it are investigated using numerical and asymptotic methods. Three types of natural vibrations of the structure are distinguished. The eigenfrequencies and vibration modes of the first type are close to the frequencies and vibration modes of a shallow spherical shell, the modes and frequencies of the second type, to the frequencies and modes of a cylindrical shell, and the third type, to the frequencies and vibration modes of a cantilever beam with a load at the end. In this article, approximate values for the frequencies of vibrations of the first type are found using asymptotic methods. Asymptotic and numerical results obtained using the finite-element method are in good agreement.
KW - joined shells
KW - natural vibrations
KW - asymptotic methods
UR - https://www.mendeley.com/catalogue/dafe7e90-8536-3387-8ab1-041a7bc7224c/
U2 - 10.1134/S1063454123010065
DO - 10.1134/S1063454123010065
M3 - Article
VL - 56
SP - 84
EP - 92
JO - Vestnik St. Petersburg University: Mathematics
JF - Vestnik St. Petersburg University: Mathematics
SN - 1063-4541
IS - 1
ER -
ID: 104659803