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

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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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
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spelling doaj-f768463c934a4164b97808ef32165bcd2020-11-24T21:33:26ZengElsevierTransactions of A. Razmadze Mathematical Institute2346-80922016-12-011703410419Some problems of oscillation and stability of prestressed shells of rotation close to cylindrical ones, with an elastic filler and under the action of temperatureSergo Kukudzhanov0A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6 Tamarashvili Str., Tbilisi 0177, GeorgiaThe 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, Frequencyhttp://www.sciencedirect.com/science/article/pii/S2346809216300368
collection DOAJ
language English
format Article
sources DOAJ
author Sergo Kukudzhanov
spellingShingle Sergo Kukudzhanov
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
Transactions of A. Razmadze Mathematical Institute
author_facet Sergo Kukudzhanov
author_sort Sergo Kukudzhanov
title 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
title_short 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
title_full 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
title_fullStr 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
title_full_unstemmed 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
title_sort 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
publisher Elsevier
series Transactions of A. Razmadze Mathematical Institute
issn 2346-8092
publishDate 2016-12-01
description 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
url http://www.sciencedirect.com/science/article/pii/S2346809216300368
work_keys_str_mv AT sergokukudzhanov someproblemsofoscillationandstabilityofprestressedshellsofrotationclosetocylindricaloneswithanelasticfillerandundertheactionoftemperature
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