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Free vibrations of a transversely isotropic plate with application to a multilayer Nano-Plate. / Morozov, Nikita F.; Tovstik, Petr E.; Tovstik, Tatyana Petrovna.

Advanced Structured Materials. Том 46 Springer Nature, 2017. стр. 349-362 (Advanced Structured Materials; Том 46).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › Рецензирование

Harvard

Morozov, NF, Tovstik, PE & Tovstik, TP 2017, Free vibrations of a transversely isotropic plate with application to a multilayer Nano-Plate. в Advanced Structured Materials. Том. 46, Advanced Structured Materials, Том. 46, Springer Nature, стр. 349-362. https://doi.org/10.1007/978-3-319-56050-2_20

APA

Morozov, N. F., Tovstik, P. E., & Tovstik, T. P. (2017). Free vibrations of a transversely isotropic plate with application to a multilayer Nano-Plate. в Advanced Structured Materials (Том 46, стр. 349-362). (Advanced Structured Materials; Том 46). Springer Nature. https://doi.org/10.1007/978-3-319-56050-2_20

Vancouver

Morozov NF, Tovstik PE, Tovstik TP. Free vibrations of a transversely isotropic plate with application to a multilayer Nano-Plate. в Advanced Structured Materials. Том 46. Springer Nature. 2017. стр. 349-362. (Advanced Structured Materials). https://doi.org/10.1007/978-3-319-56050-2_20

Author

Morozov, Nikita F. ; Tovstik, Petr E. ; Tovstik, Tatyana Petrovna. / Free vibrations of a transversely isotropic plate with application to a multilayer Nano-Plate. Advanced Structured Materials. Том 46 Springer Nature, 2017. стр. 349-362 (Advanced Structured Materials).

BibTeX

@inbook{9705c400321e439890929c98b529e352,
title = "Free vibrations of a transversely isotropic plate with application to a multilayer Nano-Plate",
abstract = "Free vibrations of a transversely isotropic rectangular plate are investigated within the frameworks of the Timoshenko-Reissner (TR) model including a transversal shear. The dependence of the principal natural frequency on the shear parameter for various variants of boundary conditions is found. The generalized Kirchhoff-Love (GKL) model of fourth differential order for a multilayered plate is proposed. The GKL model is simpler than the TR model, and it gives the same results as the TR model in the most cases. This model is used to describe vibrations of multilayer graphene sheets (MLGS). Explicit formulas for principal frequencies for both multilayer ordinary plates and for MLGS are derived.",
keywords = "Boundary conditions effect, Free vibrations, Generalized kirchhoff-Lovemodel, Multilayer graphene plate vibration, Multilayer plate",
author = "Morozov, {Nikita F.} and Tovstik, {Petr E.} and Tovstik, {Tatyana Petrovna}",
year = "2017",
doi = "10.1007/978-3-319-56050-2_20",
language = "English",
volume = "46",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "349--362",
booktitle = "Advanced Structured Materials",
address = "Germany",

}

RIS

TY - CHAP

T1 - Free vibrations of a transversely isotropic plate with application to a multilayer Nano-Plate

AU - Morozov, Nikita F.

AU - Tovstik, Petr E.

AU - Tovstik, Tatyana Petrovna

PY - 2017

Y1 - 2017

N2 - Free vibrations of a transversely isotropic rectangular plate are investigated within the frameworks of the Timoshenko-Reissner (TR) model including a transversal shear. The dependence of the principal natural frequency on the shear parameter for various variants of boundary conditions is found. The generalized Kirchhoff-Love (GKL) model of fourth differential order for a multilayered plate is proposed. The GKL model is simpler than the TR model, and it gives the same results as the TR model in the most cases. This model is used to describe vibrations of multilayer graphene sheets (MLGS). Explicit formulas for principal frequencies for both multilayer ordinary plates and for MLGS are derived.

AB - Free vibrations of a transversely isotropic rectangular plate are investigated within the frameworks of the Timoshenko-Reissner (TR) model including a transversal shear. The dependence of the principal natural frequency on the shear parameter for various variants of boundary conditions is found. The generalized Kirchhoff-Love (GKL) model of fourth differential order for a multilayered plate is proposed. The GKL model is simpler than the TR model, and it gives the same results as the TR model in the most cases. This model is used to describe vibrations of multilayer graphene sheets (MLGS). Explicit formulas for principal frequencies for both multilayer ordinary plates and for MLGS are derived.

KW - Boundary conditions effect

KW - Free vibrations

KW - Generalized kirchhoff-Lovemodel

KW - Multilayer graphene plate vibration

KW - Multilayer plate

UR - http://www.scopus.com/inward/record.url?scp=85017138320&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-56050-2_20

DO - 10.1007/978-3-319-56050-2_20

M3 - Chapter

AN - SCOPUS:85017138320

VL - 46

T3 - Advanced Structured Materials

SP - 349

EP - 362

BT - Advanced Structured Materials

PB - Springer Nature

ER -

ID: 9282044