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Bending Vibrations of Multilayered Plates. / Morozov, N. F.; Tovstik, P. E.; Tovstik, T. P.

In: Doklady Physics, Vol. 65, No. 8, 08.2020, p. 281-285.

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

Harvard

Morozov, NF, Tovstik, PE & Tovstik, TP 2020, 'Bending Vibrations of Multilayered Plates', Doklady Physics, vol. 65, no. 8, pp. 281-285. https://doi.org/10.1134/S1028335820080066

APA

Morozov, N. F., Tovstik, P. E., & Tovstik, T. P. (2020). Bending Vibrations of Multilayered Plates. Doklady Physics, 65(8), 281-285. https://doi.org/10.1134/S1028335820080066

Vancouver

Morozov NF, Tovstik PE, Tovstik TP. Bending Vibrations of Multilayered Plates. Doklady Physics. 2020 Aug;65(8):281-285. https://doi.org/10.1134/S1028335820080066

Author

Morozov, N. F. ; Tovstik, P. E. ; Tovstik, T. P. / Bending Vibrations of Multilayered Plates. In: Doklady Physics. 2020 ; Vol. 65, No. 8. pp. 281-285.

BibTeX

@article{bfec40c82fbc42ecaedcc9712d0aa178,
title = "Bending Vibrations of Multilayered Plates",
abstract = "Abstract: Small longwave free bending vibrations of a multilayered plate with alternating rigid and soft layers are considered. Approximate ways of determination of the transversal shear flexibility necessary when replacing a multiplayer plate by an equivalent single-layered Timoshenko–Reissner plate are discussed. A comparison with the exact solution of the three-dimensional problem of the theory of elasticity is performed. The dependence of shear flexibility and vibration frequencies on the ratio of Young{\textquoteright}s moduli of the layers and their arrangement is investigated.",
keywords = "generalized Timoshenko–Reissner model, longwave bending vibrations, multilayered plate, transverse shear stiffness, generalized Timoshenko&#8211, MODELS, Reissner model",
author = "Morozov, {N. F.} and Tovstik, {P. E.} and Tovstik, {T. P.}",
note = "Funding Information: This work was supported by the Russian Foundation for Basic Research, project nos. 18-01-00884a, 19-01-00208a, and 20-51-52001 MNT-a. Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = aug,
doi = "10.1134/S1028335820080066",
language = "English",
volume = "65",
pages = "281--285",
journal = "Doklady Physics",
issn = "1028-3358",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "8",

}

RIS

TY - JOUR

T1 - Bending Vibrations of Multilayered Plates

AU - Morozov, N. F.

AU - Tovstik, P. E.

AU - Tovstik, T. P.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research, project nos. 18-01-00884a, 19-01-00208a, and 20-51-52001 MNT-a. Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/8

Y1 - 2020/8

N2 - Abstract: Small longwave free bending vibrations of a multilayered plate with alternating rigid and soft layers are considered. Approximate ways of determination of the transversal shear flexibility necessary when replacing a multiplayer plate by an equivalent single-layered Timoshenko–Reissner plate are discussed. A comparison with the exact solution of the three-dimensional problem of the theory of elasticity is performed. The dependence of shear flexibility and vibration frequencies on the ratio of Young’s moduli of the layers and their arrangement is investigated.

AB - Abstract: Small longwave free bending vibrations of a multilayered plate with alternating rigid and soft layers are considered. Approximate ways of determination of the transversal shear flexibility necessary when replacing a multiplayer plate by an equivalent single-layered Timoshenko–Reissner plate are discussed. A comparison with the exact solution of the three-dimensional problem of the theory of elasticity is performed. The dependence of shear flexibility and vibration frequencies on the ratio of Young’s moduli of the layers and their arrangement is investigated.

KW - generalized Timoshenko–Reissner model

KW - longwave bending vibrations

KW - multilayered plate

KW - transverse shear stiffness

KW - generalized Timoshenko&#8211

KW - MODELS

KW - Reissner model

UR - http://www.scopus.com/inward/record.url?scp=85096037635&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/fef4a35e-ba38-3a5b-a43d-6463d6bfd7fe/

U2 - 10.1134/S1028335820080066

DO - 10.1134/S1028335820080066

M3 - Article

AN - SCOPUS:85096037635

VL - 65

SP - 281

EP - 285

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 8

ER -

ID: 72035203