Non-linear vibrations of three-layer non-homogeneous circular cylindrical shells

Authors

DOI:

https://doi.org/10.15587/1729-4061.2014.24985

Keywords:

three-layer circular cylindrical shells, nonlinear vibrations, heterogeneous material, amplitude-frequency characteristics

Abstract

The problem of nonlinear vibrations of three-layer non-homogeneous circular cylindrical shells is studied in the paper. It is assumed that layers are made of various heterogeneous isotropic materials, and elastic characteristics are continuous coordinate functions of the shell thickness. Taking the validity of the Kirchhoff-Love hypothesis for the whole element, the expressions for the forces and moments are obtained, and generalized stiffness characteristics for the considered three-layer circular cylindrical shell are defined. In general, all basic relations and system of motion equations of shell taking into account geometric nonlinearity are obtained. Approximate formulation of the problem is also considered. Two motion equations of the problem with respect to deflection and stress function are obtained in the approximate formulation of the problem. The solution on nonlinear vibration of three-layer cylindrical panel with pin-edge fixing is studied in detail. An analytical solution is obtained, and the dependence of the amplitude-frequency characteristics is determined. To perform numerical calculations, inhomogeneity functions of the layer material were taken as linear coordinate functions of the shell thickness. The results of numerical calculations are presented in the form of the characteristic graph. 

Author Biography

Сафар Ахли оглы Гусейнов, Azerbaijan University of Architecture and Construction Baku, A. Sultanov Str.5/Az1073

Doctorant

Department of Teoretickal and Construction mechanics

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Published

2014-06-20

How to Cite

Гусейнов, С. А. о. (2014). Non-linear vibrations of three-layer non-homogeneous circular cylindrical shells. Eastern-European Journal of Enterprise Technologies, 3(7(69), 17–20. https://doi.org/10.15587/1729-4061.2014.24985

Issue

Vol. 3 No. 7(69) (2014): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2014 Сафар Ахли оглы Гусейнов

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