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Mechanics of Composite Materials
Erschienen in: Mechanics of Composite Materials 5/2019

05.12.2019

Free Vibrations of a Thin Elastic Orthotropic Cylindrical Panel with Free Еdges

verfasst von: G. R. Ghulghazaryan, L. G. Ghulghazaryan, I. I. Kudish

Erschienen in: Mechanics of Composite Materials | Ausgabe 5/2019

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Abstract

Using a system of equations corresponding to the classical theory of orthotropic cylindrical shells, the free vibrations of a thin elastic orthotropic cylindrical panel with free edges is investigated. To calculate its natural frequencies and to identify the respective vibration modes, the generalized Kantorovich–Vlasov method of reduction to ordinary differential equations is employed. To find the natural frequencies of possible types of vibrations, dispersion equations are derived. An asymptotic relation between the dispersion equations of the problem in hand and of an analogous problem for a rectangular plate with free sides is established. Determined is also a relation between the dispersion equations of the problem and of the boundary-value problem for a semi-infinite orthotropic nonclosed circular cylindrical shell with three free edges. With the example of an orthotropic cylindrical panel, the values of dimensionless characteristics of its natural frequencies are derived.
Nächster Artikel Analytical Solutions to the 3D Problem on Free Vibrations of an Orthotropic Cuboid with Free Faces

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Metadaten
Titel
Free Vibrations of a Thin Elastic Orthotropic Cylindrical Panel with Free Еdges
verfasst von
G. R. Ghulghazaryan
L. G. Ghulghazaryan
I. I. Kudish
Publikationsdatum
05.12.2019
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 5/2019
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-019-09834-9

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