Energy method in solving the problems of stability for a viscoelastic polymer rods

Energy method in solving the problems of stability for a viscoelastic polymer rods

With the energy method in the form of Ritz-Timoshenko solved the stability problem for a polymer rod under axial compression for the clamping-free edge option. The proposed form of loss of stability is chosen as a sum of functions with indeterminate coefficients. The shape functions for various fast...

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Main Authors: Yazyev Serdar, Kozelskaya Maria, Strelnikov Grigory, Litvinov Stepan
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201712905010
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spelling doaj-e64d53bccf6b4a5181f00b3dbc906fc32021-08-11T14:29:42ZengEDP SciencesMATEC Web of Conferences2261-236X2017-01-011290501010.1051/matecconf/201712905010matecconf_icmtmte2017_05010Energy method in solving the problems of stability for a viscoelastic polymer rodsYazyev SerdarKozelskaya MariaStrelnikov GrigoryLitvinov StepanWith the energy method in the form of Ritz-Timoshenko solved the stability problem for a polymer rod under axial compression for the clamping-free edge option. The proposed form of loss of stability is chosen as a sum of functions with indeterminate coefficients. The shape functions for various fastenings and the represented fastening of the rod in particular are considered. The result is obtained numerically using the MatLab complex. A study was made of the long critical loads. It is shown that if the compressive force does not exceed the long-term critical one, then stability loss does not occur.https://doi.org/10.1051/matecconf/201712905010
collection DOAJ
language English
format Article
sources DOAJ
author Yazyev Serdar
Kozelskaya Maria
Strelnikov Grigory
Litvinov Stepan
spellingShingle Yazyev Serdar
Kozelskaya Maria
Strelnikov Grigory
Litvinov Stepan
Energy method in solving the problems of stability for a viscoelastic polymer rods
MATEC Web of Conferences
author_facet Yazyev Serdar
Kozelskaya Maria
Strelnikov Grigory
Litvinov Stepan
author_sort Yazyev Serdar
title Energy method in solving the problems of stability for a viscoelastic polymer rods
title_short Energy method in solving the problems of stability for a viscoelastic polymer rods
title_full Energy method in solving the problems of stability for a viscoelastic polymer rods
title_fullStr Energy method in solving the problems of stability for a viscoelastic polymer rods
title_full_unstemmed Energy method in solving the problems of stability for a viscoelastic polymer rods
title_sort energy method in solving the problems of stability for a viscoelastic polymer rods
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2017-01-01
description With the energy method in the form of Ritz-Timoshenko solved the stability problem for a polymer rod under axial compression for the clamping-free edge option. The proposed form of loss of stability is chosen as a sum of functions with indeterminate coefficients. The shape functions for various fastenings and the represented fastening of the rod in particular are considered. The result is obtained numerically using the MatLab complex. A study was made of the long critical loads. It is shown that if the compressive force does not exceed the long-term critical one, then stability loss does not occur.
url https://doi.org/10.1051/matecconf/201712905010
work_keys_str_mv AT yazyevserdar energymethodinsolvingtheproblemsofstabilityforaviscoelasticpolymerrods
AT kozelskayamaria energymethodinsolvingtheproblemsofstabilityforaviscoelasticpolymerrods
AT strelnikovgrigory energymethodinsolvingtheproblemsofstabilityforaviscoelasticpolymerrods
AT litvinovstepan energymethodinsolvingtheproblemsofstabilityforaviscoelasticpolymerrods
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