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Natural Frequencies of an Inhomogeneous Square Thin Plate. / Vasiliev, G. P.; Smirnov, A. L.

в: Vestnik St. Petersburg University: Mathematics, Том 54, № 2, 04.2021, стр. 119-124.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Vasiliev, GP & Smirnov, AL 2021, 'Natural Frequencies of an Inhomogeneous Square Thin Plate', Vestnik St. Petersburg University: Mathematics, Том. 54, № 2, стр. 119-124. https://doi.org/10.1134/S1063454121020138

APA

Vasiliev, G. P., & Smirnov, A. L. (2021). Natural Frequencies of an Inhomogeneous Square Thin Plate. Vestnik St. Petersburg University: Mathematics, 54(2), 119-124. https://doi.org/10.1134/S1063454121020138

Vancouver

Vasiliev GP, Smirnov AL. Natural Frequencies of an Inhomogeneous Square Thin Plate. Vestnik St. Petersburg University: Mathematics. 2021 Апр.;54(2):119-124. https://doi.org/10.1134/S1063454121020138

Author

Vasiliev, G. P. ; Smirnov, A. L. / Natural Frequencies of an Inhomogeneous Square Thin Plate. в: Vestnik St. Petersburg University: Mathematics. 2021 ; Том 54, № 2. стр. 119-124.

BibTeX

@article{0685cb0fbcb54f949e1036ecfdc412e9,
title = "Natural Frequencies of an Inhomogeneous Square Thin Plate",
abstract = "Abstract: The purpose of the study is to analyze the inhomogeneity effect on the natural transverse vibrations of square thin plates using asymptotic methods, when the thickness and/or stiffness of the plate can be assumed almost constant. The results of calculations by asymptotic formulas, which are determined by the perturbation method, are compared with the numerical results obtained by the finite element method using the COMSOL software package.",
keywords = "inhomogeneous square plate, natural vibrations of plates, perturbation method, VIBRATIONS, RECTANGULAR-PLATES, THICKNESS",
author = "Vasiliev, {G. P.} and Smirnov, {A. L.}",
note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = apr,
doi = "10.1134/S1063454121020138",
language = "English",
volume = "54",
pages = "119--124",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Natural Frequencies of an Inhomogeneous Square Thin Plate

AU - Vasiliev, G. P.

AU - Smirnov, A. L.

N1 - Publisher Copyright: © 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/4

Y1 - 2021/4

N2 - Abstract: The purpose of the study is to analyze the inhomogeneity effect on the natural transverse vibrations of square thin plates using asymptotic methods, when the thickness and/or stiffness of the plate can be assumed almost constant. The results of calculations by asymptotic formulas, which are determined by the perturbation method, are compared with the numerical results obtained by the finite element method using the COMSOL software package.

AB - Abstract: The purpose of the study is to analyze the inhomogeneity effect on the natural transverse vibrations of square thin plates using asymptotic methods, when the thickness and/or stiffness of the plate can be assumed almost constant. The results of calculations by asymptotic formulas, which are determined by the perturbation method, are compared with the numerical results obtained by the finite element method using the COMSOL software package.

KW - inhomogeneous square plate

KW - natural vibrations of plates

KW - perturbation method

KW - VIBRATIONS

KW - RECTANGULAR-PLATES

KW - THICKNESS

UR - http://www.scopus.com/inward/record.url?scp=85108064859&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/87f091df-1b39-352c-9ae6-67a3da06858a/

U2 - 10.1134/S1063454121020138

DO - 10.1134/S1063454121020138

M3 - Article

AN - SCOPUS:85108064859

VL - 54

SP - 119

EP - 124

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 2

ER -

ID: 78072834