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Собственные колебания цилиндрической оболочки с крышкой. II. Анализ спектра. / Смирнов, Андрей Леонидович; Филиппов, Сергей Борисович; Nesterchuk, Grigory A.

In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ, Vol. 10, No. 2, 2023, p. 334-343.

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

Harvard

Смирнов, АЛ, Филиппов, СБ & Nesterchuk, GA 2023, 'Собственные колебания цилиндрической оболочки с крышкой. II. Анализ спектра', ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ, vol. 10, no. 2, pp. 334-343. https://doi.org/10.21638/spbu01.2023.213

APA

Смирнов, А. Л., Филиппов, С. Б., & Nesterchuk, G. A. (2023). Собственные колебания цилиндрической оболочки с крышкой. II. Анализ спектра. ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ, 10(2), 334-343. https://doi.org/10.21638/spbu01.2023.213

Vancouver

Смирнов АЛ, Филиппов СБ, Nesterchuk GA. Собственные колебания цилиндрической оболочки с крышкой. II. Анализ спектра. ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ. 2023;10(2):334-343. https://doi.org/10.21638/spbu01.2023.213

Author

Смирнов, Андрей Леонидович ; Филиппов, Сергей Борисович ; Nesterchuk, Grigory A. / Собственные колебания цилиндрической оболочки с крышкой. II. Анализ спектра. In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ. 2023 ; Vol. 10, No. 2. pp. 334-343.

BibTeX

@article{674030ab462d4cd3bbecf6a6f0ceebef,
title = "Собственные колебания цилиндрической оболочки с крышкой. II. Анализ спектра",
abstract = "Using numerical and asymptotic methods, the lowest natural frequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end cap attached to it, having the shape of a shallow spherical segment, are studied in the paper. Three types of natural vibrations of the structure are described. Eigenfrequencies and modes of vibrations of the first type, close to the frequencies and modes of vibrations of a shallow spherical shell, were studied in previous works. In this paper, we study the forms and frequencies of the second type of vibrations (cylindrical shell) and the third type (cantilever beam with the load). An optimization problem is solved to determine the values of the structure parameters, the relative thickness of its elements and the curvature of the end cap, at which the minimum value of the natural frequency is maximum. A comparison of the asymptotic and numerical results reveals their good agreement.",
author = "Смирнов, {Андрей Леонидович} and Филиппов, {Сергей Борисович} and Nesterchuk, {Grigory A.}",
year = "2023",
doi = "10.21638/spbu01.2023.213",
language = "русский",
volume = "10",
pages = "334--343",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "2",

}

RIS

TY - JOUR

T1 - Собственные колебания цилиндрической оболочки с крышкой. II. Анализ спектра

AU - Смирнов, Андрей Леонидович

AU - Филиппов, Сергей Борисович

AU - Nesterchuk, Grigory A.

PY - 2023

Y1 - 2023

N2 - Using numerical and asymptotic methods, the lowest natural frequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end cap attached to it, having the shape of a shallow spherical segment, are studied in the paper. Three types of natural vibrations of the structure are described. Eigenfrequencies and modes of vibrations of the first type, close to the frequencies and modes of vibrations of a shallow spherical shell, were studied in previous works. In this paper, we study the forms and frequencies of the second type of vibrations (cylindrical shell) and the third type (cantilever beam with the load). An optimization problem is solved to determine the values of the structure parameters, the relative thickness of its elements and the curvature of the end cap, at which the minimum value of the natural frequency is maximum. A comparison of the asymptotic and numerical results reveals their good agreement.

AB - Using numerical and asymptotic methods, the lowest natural frequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end cap attached to it, having the shape of a shallow spherical segment, are studied in the paper. Three types of natural vibrations of the structure are described. Eigenfrequencies and modes of vibrations of the first type, close to the frequencies and modes of vibrations of a shallow spherical shell, were studied in previous works. In this paper, we study the forms and frequencies of the second type of vibrations (cylindrical shell) and the third type (cantilever beam with the load). An optimization problem is solved to determine the values of the structure parameters, the relative thickness of its elements and the curvature of the end cap, at which the minimum value of the natural frequency is maximum. A comparison of the asymptotic and numerical results reveals their good agreement.

UR - https://www.mendeley.com/catalogue/b22998c1-bbc9-3c58-a794-349707690cb0/

U2 - 10.21638/spbu01.2023.213

DO - 10.21638/spbu01.2023.213

M3 - статья

VL - 10

SP - 334

EP - 343

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

SN - 1025-3106

IS - 2

ER -

ID: 104972708