Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow
Results of numerical investigation of dynamic behavior of deformed wing aircraft in a gas flow are presented in the paper. Vibrations with respect to deflections are described by a system of integro-differential equations in partial derivatives. Using the Bubnov-Galerkin method, the problem is reduc...
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2019-01-01
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doaj-42b68fe5ef514f3f900a1e5fb948aaad2021-02-02T02:08:31ZengEDP SciencesE3S Web of Conferences2267-12422019-01-01970600810.1051/e3sconf/20199706008e3sconf_form2018_06008Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flowKhudayarov Bakhtiyar0Turaev Fozilzhon1Kucharov Olimzhon2Department of Higher Mathematics,Tashkent institute of irrigation and agricultural mechanization engineersDepartment of Higher Mathematics,Tashkent institute of irrigation and agricultural mechanization engineersScientific and Innovation Center of Information and CommunicationResults of numerical investigation of dynamic behavior of deformed wing aircraft in a gas flow are presented in the paper. Vibrations with respect to deflections are described by a system of integro-differential equations in partial derivatives. Using the Bubnov-Galerkin method, the problem is reduced to a system of ordinary integro-differential equations, where time is an independent variable. The solutions of integro-differential equations are determined by a numerical method based on the use of quadrature formulas. Computational algorithms and a package of applied programs have been created to solve problems on nonlinear flutter of viscoelastic elements of an aircraft. The reliability of the solution of the problem is confirmed by comparison with known numerical and analytical results. The effect of different boundary conditions on critical flutter velocity is studied. Critical velocity and critical flutter time of viscoelastic plates are determined. It is shown that the singularity parameter α affects not only the vibrations of viscoelastic systems, but also critical time and critical flutter velocity. It is stated that consideration of viscoelastic properties of plate material leads to 40 60% decrease in critical flutter velocity.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/23/e3sconf_form2018_06008.pdf |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Khudayarov Bakhtiyar Turaev Fozilzhon Kucharov Olimzhon |
spellingShingle |
Khudayarov Bakhtiyar Turaev Fozilzhon Kucharov Olimzhon Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow E3S Web of Conferences |
author_facet |
Khudayarov Bakhtiyar Turaev Fozilzhon Kucharov Olimzhon |
author_sort |
Khudayarov Bakhtiyar |
title |
Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow |
title_short |
Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow |
title_full |
Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow |
title_fullStr |
Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow |
title_full_unstemmed |
Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow |
title_sort |
computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow |
publisher |
EDP Sciences |
series |
E3S Web of Conferences |
issn |
2267-1242 |
publishDate |
2019-01-01 |
description |
Results of numerical investigation of dynamic behavior of deformed wing aircraft in a gas flow are presented in the paper. Vibrations with respect to deflections are described by a system of integro-differential equations in partial derivatives. Using the Bubnov-Galerkin method, the problem is reduced to a system of ordinary integro-differential equations, where time is an independent variable. The solutions of integro-differential equations are determined by a numerical method based on the use of quadrature formulas. Computational algorithms and a package of applied programs have been created to solve problems on nonlinear flutter of viscoelastic elements of an aircraft. The reliability of the solution of the problem is confirmed by comparison with known numerical and analytical results. The effect of different boundary conditions on critical flutter velocity is studied. Critical velocity and critical flutter time of viscoelastic plates are determined. It is shown that the singularity parameter α affects not only the vibrations of viscoelastic systems, but also critical time and critical flutter velocity. It is stated that consideration of viscoelastic properties of plate material leads to 40 60% decrease in critical flutter velocity. |
url |
https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/23/e3sconf_form2018_06008.pdf |
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