Mathematical Identification of Influential Parameters on the Elastic Buckling of Variable Geometry Plate

The problem of elastic stability of plates with square, rectangular, and circular holes as well as slotted holes was discussed. The existence of the hole reduces the deformation energy of the plate and it affects the redistribution of stress flow in comparison to a uniform plate which causes a chang...

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Main Authors: Mirko Djelosevic, Jovan Tepic, Ilija Tanackov, Milan Kostelac
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/268673
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author Mirko Djelosevic
Jovan Tepic
Ilija Tanackov
Milan Kostelac
author_facet Mirko Djelosevic
Jovan Tepic
Ilija Tanackov
Milan Kostelac
author_sort Mirko Djelosevic
collection DOAJ
description The problem of elastic stability of plates with square, rectangular, and circular holes as well as slotted holes was discussed. The existence of the hole reduces the deformation energy of the plate and it affects the redistribution of stress flow in comparison to a uniform plate which causes a change of the external operation of compressive forces. The distribution of compressive force is defined as the approximate model of plane state of stress. The significant parameters of elastic stability compared to the uniform plate, including the dominant role of the shape, size, and orientation of the hole were identified. Comparative analysis of the shape of the hole was carried out on the data from the literature, which are based on different approaches and methods. Qualitative and quantitative accordance of the results has been found out and it verifies exposed methodology as applicable in the study of the phenomenon of elastic stability. Sensitivity factor is defined that is proportional to the reciprocal value of the buckling coefficient and it is a measure of sensitivity of plate to the existence of the hole. Mechanism of loss of stability is interpreted through the absorption of the external operation, induced by the shape of the hole.
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spelling doaj-art-fb32e0cefb7a4f509a81c822fc0c869d2025-02-03T01:01:51ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/268673268673Mathematical Identification of Influential Parameters on the Elastic Buckling of Variable Geometry PlateMirko Djelosevic0Jovan Tepic1Ilija Tanackov2Milan Kostelac3Faculty of Mechanical and Civil Engineering Kraljevo, University of Kragujevac, 36000 Kraljevo, SerbiaFaculty of Technical Sciences Novi Sad, University of Novi Sad, 21000 Novi Sad, SerbiaFaculty of Technical Sciences Novi Sad, University of Novi Sad, 21000 Novi Sad, SerbiaFaculty of Mechanical Engineering and Naval Architecture, University of Zagreb, 10000 Zagreb, CroatiaThe problem of elastic stability of plates with square, rectangular, and circular holes as well as slotted holes was discussed. The existence of the hole reduces the deformation energy of the plate and it affects the redistribution of stress flow in comparison to a uniform plate which causes a change of the external operation of compressive forces. The distribution of compressive force is defined as the approximate model of plane state of stress. The significant parameters of elastic stability compared to the uniform plate, including the dominant role of the shape, size, and orientation of the hole were identified. Comparative analysis of the shape of the hole was carried out on the data from the literature, which are based on different approaches and methods. Qualitative and quantitative accordance of the results has been found out and it verifies exposed methodology as applicable in the study of the phenomenon of elastic stability. Sensitivity factor is defined that is proportional to the reciprocal value of the buckling coefficient and it is a measure of sensitivity of plate to the existence of the hole. Mechanism of loss of stability is interpreted through the absorption of the external operation, induced by the shape of the hole.http://dx.doi.org/10.1155/2013/268673
spellingShingle Mirko Djelosevic
Jovan Tepic
Ilija Tanackov
Milan Kostelac
Mathematical Identification of Influential Parameters on the Elastic Buckling of Variable Geometry Plate
The Scientific World Journal
title Mathematical Identification of Influential Parameters on the Elastic Buckling of Variable Geometry Plate
title_full Mathematical Identification of Influential Parameters on the Elastic Buckling of Variable Geometry Plate
title_fullStr Mathematical Identification of Influential Parameters on the Elastic Buckling of Variable Geometry Plate
title_full_unstemmed Mathematical Identification of Influential Parameters on the Elastic Buckling of Variable Geometry Plate
title_short Mathematical Identification of Influential Parameters on the Elastic Buckling of Variable Geometry Plate
title_sort mathematical identification of influential parameters on the elastic buckling of variable geometry plate
url http://dx.doi.org/10.1155/2013/268673
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