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...

Full description

Bibliographic Details
Main Authors: ROBERT ALEKSEEVICH TURUSOV, VLADIMIR IGOREVICH ANDREV, NIKITA YURIEVICH TSYBIN
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2017-09-01
Series:Structural Mechanics of Engineering Constructions and Buildings
Subjects:
Online Access:http://journals.rudn.ru/structural-mechanics/article/view/16295
_version_ 1811292077995065344
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
work_keys_str_mv AT robertalekseevichturusov generalsolutionofbendingofmultilayerbeamsinfourierseries
AT vladimirigorevichandrev generalsolutionofbendingofmultilayerbeamsinfourierseries
AT nikitayurievichtsybin generalsolutionofbendingofmultilayerbeamsinfourierseries