GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIES
The article deals with the solution of the problem of bending of a hinged multilayer beam under the normal uniformly distributed load and induced axial forces. The interaction between layers is accomplished by the contact layer in which the substances of adhesive and substrate are mixed. We will con...
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Format: | Article |
Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2017-09-01
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Series: | Structural Mechanics of Engineering Constructions and Buildings |
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Online Access: | http://journals.rudn.ru/structural-mechanics/article/view/16295 |
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author | ROBERT ALEKSEEVICH TURUSOV VLADIMIR IGOREVICH ANDREV NIKITA YURIEVICH TSYBIN |
author_facet | ROBERT ALEKSEEVICH TURUSOV VLADIMIR IGOREVICH ANDREV NIKITA YURIEVICH TSYBIN |
author_sort | ROBERT ALEKSEEVICH TURUSOV |
collection | DOAJ |
description | The article deals with the solution of the problem of bending of a hinged multilayer beam under the normal uniformly distributed load and induced axial forces. The interaction between layers is accomplished by the contact layer in which the substances of adhesive and substrate are mixed. We will consider the contact layer as the transversal anisotropic medium with such parameters that it can be represented as a set of short elastic rods, which are not connected to each other. The solution is obtained in the form of decomposition into Fourier series of sines. There is an example of the calculation of a three-layer beam. The convergence of the obtained solution is analyzed according to the number of accounted members of the decomposition |
first_indexed | 2024-04-13T04:40:00Z |
format | Article |
id | doaj.art-cb4870e414304084a09dbfd68e3b1d02 |
institution | Directory Open Access Journal |
issn | 1815-5235 2587-8700 |
language | English |
last_indexed | 2024-04-13T04:40:00Z |
publishDate | 2017-09-01 |
publisher | Peoples’ Friendship University of Russia (RUDN University) |
record_format | Article |
series | Structural Mechanics of Engineering Constructions and Buildings |
spelling | doaj.art-cb4870e414304084a09dbfd68e3b1d022022-12-22T03:02:02ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002017-09-0104344210.22363/1815-5235-2017-4-34-4215280GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIESROBERT ALEKSEEVICH TURUSOV0VLADIMIR IGOREVICH ANDREV1NIKITA YURIEVICH TSYBIN2<p>Национальный исследовательский Московский государственный строительный университет</p><p>Национальный исследовательский Московский государственный строительный университет</p><p>Национальный исследовательский Московский государственный строительный университет</p>The article deals with the solution of the problem of bending of a hinged multilayer beam under the normal uniformly distributed load and induced axial forces. The interaction between layers is accomplished by the contact layer in which the substances of adhesive and substrate are mixed. We will consider the contact layer as the transversal anisotropic medium with such parameters that it can be represented as a set of short elastic rods, which are not connected to each other. The solution is obtained in the form of decomposition into Fourier series of sines. There is an example of the calculation of a three-layer beam. The convergence of the obtained solution is analyzed according to the number of accounted members of the decompositionhttp://journals.rudn.ru/structural-mechanics/article/view/16295композитмногослойная балкаизгибряды Фурьекраевой эффектметод контактного слояразрешающие уравнения |
spellingShingle | ROBERT ALEKSEEVICH TURUSOV VLADIMIR IGOREVICH ANDREV NIKITA YURIEVICH TSYBIN GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIES Structural Mechanics of Engineering Constructions and Buildings композит многослойная балка изгиб ряды Фурье краевой эффект метод контактного слоя разрешающие уравнения |
title | GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIES |
title_full | GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIES |
title_fullStr | GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIES |
title_full_unstemmed | GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIES |
title_short | GENERAL SOLUTION OF BENDING OF MULTILAYER BEAMS IN FOURIER SERIES |
title_sort | general solution of bending of multilayer beams in fourier series |
topic | композит многослойная балка изгиб ряды Фурье краевой эффект метод контактного слоя разрешающие уравнения |
url | http://journals.rudn.ru/structural-mechanics/article/view/16295 |
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