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

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 generaliz...

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Bibliographic Details
Published in:Mechanics of composite materials 2019-11, Vol.55 (5), p.557
Main Authors: Ghulghazaryan, G. R, Ghulghazaryan, L. G, Kudish, I. I
Format: Article
Language:English
Subjects:
Differential equations
Vibration
Online Access:Get full text
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Summary: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.
ISSN:0191-5665
1573-8922
DOI:10.1007/s11029-019-09834-9