Buckling of Columns on Elastic Foundation with different Boundary Conditions

In This research, the subject of buckling of columns on elastic foundation with different boundary conditions by energy approach has been presented. Columns modeled by two-end rigid bars where interconnected to each other by rotational springs, and elastic foundation modeled by translational springs...

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Autores principales:	Seyed mohammad Reza Hasani, Masooud Mahmoudabadi, Rasoul Danaei
Formato:	article
Lenguaje:	FA
Publicado:	Iranian Society of Structrual Engineering (ISSE) 2018
Materias:	buckling elastic foundation boundary conditions finite element model analytical solution Bridge engineering TG1-470 Building construction TH1-9745
Acceso en línea:	https://doaj.org/article/fd4aeb2cb3644327aecef0392f7cd2d2
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spelling	oai:doaj.org-article:fd4aeb2cb3644327aecef0392f7cd2d22021-11-08T15:48:00ZBuckling of Columns on Elastic Foundation with different Boundary Conditions2476-39772538-261610.22065/jsce.2017.86913.1204https://doaj.org/article/fd4aeb2cb3644327aecef0392f7cd2d22018-06-01T00:00:00Zhttps://www.jsce.ir/article_46875_85334a29b71b55285927b5f3736c1a44.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616In This research, the subject of buckling of columns on elastic foundation with different boundary conditions by energy approach has been presented. Columns modeled by two-end rigid bars where interconnected to each other by rotational springs, and elastic foundation modeled by translational springs. By preparing computer programs for five column types with different boundary conditions, the critical loads of these columns have been obtained. This five types of columns include two hinge end column, one fix end-one hinge end column, two fix end column, one fix end-one free end column and one hinge end-one free end column which are located on elastic foundation. At first, the stiffness of translational springs is set equal zero, and by knowing the analytical solutions, the stiffness coefficients of rotational springs have been gathered. Then, by defining a dimensionless parameter which showing the relative stiffness of elastic foundation, the critical load for a wide range of foundation stiffness has been obtained and results are presented in form of some graphs. There is analytical solution for two hinge end column on elastic foundation, therefore, at this stage, verification has been done for this kind of column and a very good consistency is observed between analytical buckling load and finite element buckling load for different relative stiffness of foundation. In fact, there is a linear relation between buckling load of two hinge end column and relative stiffness coefficient of foundation. But, for other four type columns, this relation may not be linear. Therefore, by means of fitting curve method, for other four type columns, some mathematical relations are proposed, which by these mathematical relations, the buckling load of above mentioned columns are computed in according to relative stiffness of foundation by acceptable errors.Seyed mohammad Reza HasaniMasooud MahmoudabadiRasoul DanaeiIranian Society of Structrual Engineering (ISSE)articlebucklingelastic foundationboundary conditionsfinite element modelanalytical solutionBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 5, Iss 1, Pp 143-156 (2018)
institution	DOAJ
collection	DOAJ
language	FA
topic	buckling elastic foundation boundary conditions finite element model analytical solution Bridge engineering TG1-470 Building construction TH1-9745
spellingShingle	buckling elastic foundation boundary conditions finite element model analytical solution Bridge engineering TG1-470 Building construction TH1-9745 Seyed mohammad Reza Hasani Masooud Mahmoudabadi Rasoul Danaei Buckling of Columns on Elastic Foundation with different Boundary Conditions
description	In This research, the subject of buckling of columns on elastic foundation with different boundary conditions by energy approach has been presented. Columns modeled by two-end rigid bars where interconnected to each other by rotational springs, and elastic foundation modeled by translational springs. By preparing computer programs for five column types with different boundary conditions, the critical loads of these columns have been obtained. This five types of columns include two hinge end column, one fix end-one hinge end column, two fix end column, one fix end-one free end column and one hinge end-one free end column which are located on elastic foundation. At first, the stiffness of translational springs is set equal zero, and by knowing the analytical solutions, the stiffness coefficients of rotational springs have been gathered. Then, by defining a dimensionless parameter which showing the relative stiffness of elastic foundation, the critical load for a wide range of foundation stiffness has been obtained and results are presented in form of some graphs. There is analytical solution for two hinge end column on elastic foundation, therefore, at this stage, verification has been done for this kind of column and a very good consistency is observed between analytical buckling load and finite element buckling load for different relative stiffness of foundation. In fact, there is a linear relation between buckling load of two hinge end column and relative stiffness coefficient of foundation. But, for other four type columns, this relation may not be linear. Therefore, by means of fitting curve method, for other four type columns, some mathematical relations are proposed, which by these mathematical relations, the buckling load of above mentioned columns are computed in according to relative stiffness of foundation by acceptable errors.
format	article
author	Seyed mohammad Reza Hasani Masooud Mahmoudabadi Rasoul Danaei
author_facet	Seyed mohammad Reza Hasani Masooud Mahmoudabadi Rasoul Danaei
author_sort	Seyed mohammad Reza Hasani
title	Buckling of Columns on Elastic Foundation with different Boundary Conditions
title_short	Buckling of Columns on Elastic Foundation with different Boundary Conditions
title_full	Buckling of Columns on Elastic Foundation with different Boundary Conditions
title_fullStr	Buckling of Columns on Elastic Foundation with different Boundary Conditions
title_full_unstemmed	Buckling of Columns on Elastic Foundation with different Boundary Conditions
title_sort	buckling of columns on elastic foundation with different boundary conditions
publisher	Iranian Society of Structrual Engineering (ISSE)
publishDate	2018
url	https://doaj.org/article/fd4aeb2cb3644327aecef0392f7cd2d2
work_keys_str_mv	AT seyedmohammadrezahasani bucklingofcolumnsonelasticfoundationwithdifferentboundaryconditions AT masooudmahmoudabadi bucklingofcolumnsonelasticfoundationwithdifferentboundaryconditions AT rasouldanaei bucklingofcolumnsonelasticfoundationwithdifferentboundaryconditions
_version_	1718441719680204800

Buckling of Columns on Elastic Foundation with different Boundary Conditions

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