Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler

<span>In this paper, we consider the equations of non-axisymmetric oscillations of discretely reinforced multilayer cylindrical shells of elliptical section. When analyzing the elements of the elastic structure, a refinement model of the theory of shells and rods of the Timoshenko type is used...

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Main Author: A. V. Pavliuk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2018-01-01
Series:Фізика і хімія твердого тіла
Online Access:http://journals.pu.if.ua/index.php/pcss/article/view/2304
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author A. V. Pavliuk
author_facet A. V. Pavliuk
author_sort A. V. Pavliuk
collection DOAJ
description <span>In this paper, we consider the equations of non-axisymmetric oscillations of discretely reinforced multilayer cylindrical shells of elliptical section. When analyzing the elements of the elastic structure, a refinement model of the theory of shells and rods of the Timoshenko type is used. The numerical method of solving the dynamic equations is based on the integro- interpolation method of constructing the finite-difference schemes for equations with discontinuous coefficients. The problem of dynamic behavior of a three-layer longitudinal-transversal reinforced cylindrical shell of an elliptical section under a distributed nonstationary load is investigated. A solution of the problem on dynamic behaviour of the three-layered cylindrical shell with some discrete longitudinal-transverse ribbed filler is considered for distributed non-stationary loading. </span><br /><strong>Keywords:</strong><span> three-layer cylindrical shell, elliptic cross-section, Timoshenko-type theory, forced vibrations, numerical solution.</span>
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spelling doaj.art-5309de49f08c466182bf05126db8a7542022-12-21T23:55:18ZengVasyl Stefanyk Precarpathian National UniversityФізика і хімія твердого тіла1729-44282309-85892018-01-0118224324810.15330/pcss.18.2.243-2482010Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed FillerA. V. Pavliuk0Інститут механіки Національної академії наук України ім. С.П. Тимошенка<span>In this paper, we consider the equations of non-axisymmetric oscillations of discretely reinforced multilayer cylindrical shells of elliptical section. When analyzing the elements of the elastic structure, a refinement model of the theory of shells and rods of the Timoshenko type is used. The numerical method of solving the dynamic equations is based on the integro- interpolation method of constructing the finite-difference schemes for equations with discontinuous coefficients. The problem of dynamic behavior of a three-layer longitudinal-transversal reinforced cylindrical shell of an elliptical section under a distributed nonstationary load is investigated. A solution of the problem on dynamic behaviour of the three-layered cylindrical shell with some discrete longitudinal-transverse ribbed filler is considered for distributed non-stationary loading. </span><br /><strong>Keywords:</strong><span> three-layer cylindrical shell, elliptic cross-section, Timoshenko-type theory, forced vibrations, numerical solution.</span>http://journals.pu.if.ua/index.php/pcss/article/view/2304
spellingShingle A. V. Pavliuk
Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler
Фізика і хімія твердого тіла
title Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler
title_full Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler
title_fullStr Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler
title_full_unstemmed Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler
title_short Dynamics of Three-layer Cylindrical Shells Elliptical Cross-Section With a Longitudinal-Transverse Discrete Ribbed Filler
title_sort dynamics of three layer cylindrical shells elliptical cross section with a longitudinal transverse discrete ribbed filler
url http://journals.pu.if.ua/index.php/pcss/article/view/2304
work_keys_str_mv AT avpavliuk dynamicsofthreelayercylindricalshellsellipticalcrosssectionwithalongitudinaltransversediscreteribbedfiller