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Vibrations of a Plate with Periodically Changing Parameters. / Naumova, N. V.; Dorofeev, N. P.

в: Vestnik St. Petersburg University: Mathematics, Том 54, № 4, 10.2021, стр. 411-417.

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

Harvard

Naumova, NV & Dorofeev, NP 2021, 'Vibrations of a Plate with Periodically Changing Parameters', Vestnik St. Petersburg University: Mathematics, Том. 54, № 4, стр. 411-417. https://doi.org/10.1134/S1063454121040130

APA

Naumova, N. V., & Dorofeev, N. P. (2021). Vibrations of a Plate with Periodically Changing Parameters. Vestnik St. Petersburg University: Mathematics, 54(4), 411-417. https://doi.org/10.1134/S1063454121040130

Vancouver

Naumova NV, Dorofeev NP. Vibrations of a Plate with Periodically Changing Parameters. Vestnik St. Petersburg University: Mathematics. 2021 Окт.;54(4):411-417. https://doi.org/10.1134/S1063454121040130

Author

Naumova, N. V. ; Dorofeev, N. P. / Vibrations of a Plate with Periodically Changing Parameters. в: Vestnik St. Petersburg University: Mathematics. 2021 ; Том 54, № 4. стр. 411-417.

BibTeX

@article{f0e667b797064b6dafd6f91e016128a2,
title = "Vibrations of a Plate with Periodically Changing Parameters",
abstract = "Abstract: Vibrations of a square plate with periodically changing parameters are considered. The averaged fourth-order partial differential equation for plate deflection w is presented. Solution of the problem is obtained with the approximate theory. The approximate results are presented by analytical formulas. Asymptotic averaging (implemented in Wolfram Mathematica) and the finite element method (ANSYS) are used to determine the values of eigenfrequencies. Numerical and asymptotic results are compared.",
keywords = "deformation of plates, heterogeneous plate, plate, reinforced plate, vibrations of plates",
author = "Naumova, {N. V.} and Dorofeev, {N. P.}",
note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",
year = "2021",
month = oct,
doi = "10.1134/S1063454121040130",
language = "English",
volume = "54",
pages = "411--417",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Vibrations of a Plate with Periodically Changing Parameters

AU - Naumova, N. V.

AU - Dorofeev, N. P.

N1 - Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/10

Y1 - 2021/10

N2 - Abstract: Vibrations of a square plate with periodically changing parameters are considered. The averaged fourth-order partial differential equation for plate deflection w is presented. Solution of the problem is obtained with the approximate theory. The approximate results are presented by analytical formulas. Asymptotic averaging (implemented in Wolfram Mathematica) and the finite element method (ANSYS) are used to determine the values of eigenfrequencies. Numerical and asymptotic results are compared.

AB - Abstract: Vibrations of a square plate with periodically changing parameters are considered. The averaged fourth-order partial differential equation for plate deflection w is presented. Solution of the problem is obtained with the approximate theory. The approximate results are presented by analytical formulas. Asymptotic averaging (implemented in Wolfram Mathematica) and the finite element method (ANSYS) are used to determine the values of eigenfrequencies. Numerical and asymptotic results are compared.

KW - deformation of plates

KW - heterogeneous plate

KW - plate

KW - reinforced plate

KW - vibrations of plates

UR - http://www.scopus.com/inward/record.url?scp=85121431587&partnerID=8YFLogxK

U2 - 10.1134/S1063454121040130

DO - 10.1134/S1063454121040130

M3 - Article

AN - SCOPUS:85121431587

VL - 54

SP - 411

EP - 417

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 4

ER -

ID: 91187030