Some problems of oscillation and stability of prestressed shells of rotation close to cylindrical ones, with an elastic filler and under the action of temperature

The present paper investigates natural oscillations and stability of shells of revolution which are close by their form to cylindrical ones, with elastic filler and under the action of meridional forces, external pressure and temperature. The shell is assumed to be thin and elastic. A filler is simu...

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Bibliographic Details
Main Author: Sergo Kukudzhanov
Format: Article
Language:English
Published: Elsevier 2016-12-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809216300368
Description
Summary:The present paper investigates natural oscillations and stability of shells of revolution which are close by their form to cylindrical ones, with elastic filler and under the action of meridional forces, external pressure and temperature. The shell is assumed to be thin and elastic. A filler is simulated by an elastic base. The shells of positive and negative Gaussian curvature are considered. Formulas for finding the least frequencies and a form of wave formation are written out. The questions dealing with the higher frequencies and stability of shells of revolution are studied, and formulas for critical loadings are also written out. Keywords: Oscillation, Stability, Shells, Critical load, Filler, Temperature, Lowest, Meridional forces, Frequency
ISSN:2346-8092