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Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis. / Filippov, S. B. ; Smirnov, A. L. ; Nesterchuk, Grigory A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 56, No. 1, 01.03.2023, p. 84–92.

Research output: Contribution to journal › Article › peer-review

Harvard

Filippov, SB, Smirnov, AL & Nesterchuk, GA 2023, 'Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis.', Vestnik St. Petersburg University: Mathematics, vol. 56, no. 1, pp. 84–92. https://doi.org/10.1134/S1063454123010065

APA

Filippov, S. B., Smirnov, A. L., & Nesterchuk, G. A. (2023). Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis. Vestnik St. Petersburg University: Mathematics, 56(1), 84–92. https://doi.org/10.1134/S1063454123010065

Vancouver

Filippov SB, Smirnov AL, Nesterchuk GA. Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis. Vestnik St. Petersburg University: Mathematics. 2023 Mar 1;56(1):84–92. https://doi.org/10.1134/S1063454123010065

Author

Filippov, S. B. ; Smirnov, A. L. ; Nesterchuk, Grigory A. / Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis. In: Vestnik St. Petersburg University: Mathematics. 2023 ; Vol. 56, No. 1. pp. 84–92.

BibTeX

@article{78fedf031a0f427186739bd1287f9e9e,
title = "Natural Vibrations of a Cylindrical Shell with an End Cap. I. Asymptotic Analysis.",
abstract = "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.",
keywords = "joined shells, natural vibrations, asymptotic methods",
author = "Filippov, {S. B.} and Smirnov, {A. L.} and Nesterchuk, {Grigory A.}",
note = "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",
year = "2023",
month = mar,
day = "1",
doi = "10.1134/S1063454123010065",
language = "English",
volume = "56",
pages = "84–92",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

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