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

Nikita F. Morozov, Petr E. Tovstik, Tatyana Petrovna Tovstik

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/раздел

2 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаанглийский
Название основной публикацииAdvanced Structured Materials
ИздательSpringer
Страницы349-362
Число страниц14
Том46
DOI
СостояниеОпубликовано - 2017

Серия публикаций

НазваниеAdvanced Structured Materials
Том46
ISSN (печатное издание)1869-8433
ISSN (электронное издание)1869-8441

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Предметные области Scopus

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Цитировать

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. https://doi.org/10.1007/978-3-319-56050-2_20