On natural frequencies of transversally isotropic circular plates
DOI:
https://doi.org/10.21638/11701/spbu01.2016.111Abstract
Impact of material properties of transversely isotropic circular plates on its natural frequencies is discussed in the present paper. Two refined theories of plates are used to analyze the free vibration behavior of homogeneous plates. Both theories take into account normal and rotary inertias. Fundamental frequencies for plates with radial inhomogeneity are obtained with the help of finite element package Comsol Multiphysics 5.0. It is shown that the inhomogeneity of the plate have a profound impact on the first (lowest) frequency of the plate while the plate orthotropic influences more on the second and higher vibration modes. Refs 2. Figs 1. Tables 1.Downloads
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References
Литература
1. Амбарцумян С.А. Теория анизотропных пластин. М., 1967. 226 с.
2. Родионова В.А., Титаев Б.Ф., Черных К.Ф. Прикладная теория анизотропных пластин и оболочек. СПб.: Изд-во С.-Петерб. ун-та, 1996. 280 c.
References
1. Ambartsumyan S.A., Theory of Anisotropic Plates(Technomic, Stamford, 1970).
2. Rodionova V.A., Titaev B.F., Chernykh K.F., Applied Theory of Anisotropic Plates and Shells(St. Peterb. Univ., St. Petersburg, 1996)[in Russian]. Вестник СПб ГУ. Сер.1. Математика. Механика. Астрономия. Т.3(61). 2016. Вып. 1 109
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Published
2020-10-19
How to Cite
Bauer, S. M., & Voronkova, E. B. (2020). On natural frequencies of transversally isotropic circular plates. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(1), 1. https://doi.org/10.21638/11701/spbu01.2016.111
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Section
Mechanics
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
