ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS

In this article, the efficiency of Boundary Characteristic Orthogonal Polynomials (BCOPs) in analyzing the static and dynamic behavior of thin rectangular plates with openings versus the Finite Element Method (FEM) and the analytical solutions (if they exist), is investigated. Despite this simple pr...

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Autores principales:	Ali Nikkhoo, Milad Rahbar Dehghan, Ali Farazandeh
Formato:	article
Lenguaje:	FA
Publicado:	Iranian Society of Structrual Engineering (ISSE) 2019
Materias:	boundary characteristic orthogonal polynomials finite element method thin plates with opening static analysis dynamic analysis Bridge engineering TG1-470 Building construction TH1-9745
Acceso en línea:	https://doaj.org/article/9526b979ac1141fab87a9c68dd9c5c96
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spelling	oai:doaj.org-article:9526b979ac1141fab87a9c68dd9c5c962021-11-08T15:52:23ZACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS2476-39772538-261610.22065/jsce.2018.105304.1381https://doaj.org/article/9526b979ac1141fab87a9c68dd9c5c962019-11-01T00:00:00Zhttps://www.jsce.ir/article_62640_1f5b18d9c7ada105c93f429820894a6b.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616In this article, the efficiency of Boundary Characteristic Orthogonal Polynomials (BCOPs) in analyzing the static and dynamic behavior of thin rectangular plates with openings versus the Finite Element Method (FEM) and the analytical solutions (if they exist), is investigated. Despite this simple procedure, according to the obtained results, the accuracy of BCOPs in most of the studied cases compared to the analytical solutions or those obtained via FEM is acceptable. Besides, different sizes for the openings are assumed and in one case a steel strip is used to stiffen the plate around the opening. Maximum deflection of the plate is the core parameter to be compared seeking the convergence rate of the employed method. Furthermore, natural frequencies of the plate are obtained and compared to assess the capability of BCOPs in dynamic analysis of thin plates. In all of the studied cases, the efficiency of the BCOPs is evident based on its simplicity in comparison with conventional FEM or other competitive methods. Furthermore, one of the main advantages of using these functions in comparison with eigenfunction expansion method in analytical and semi-analytical approaches in the analysis of thin rectangular plates is the existence of all plates’ shape functions for any arbitrary boundary conditions, while this is limited to some special cases in the exact eigen problem solution of the plate.Ali NikkhooMilad Rahbar DehghanAli FarazandehIranian Society of Structrual Engineering (ISSE)articleboundary characteristic orthogonal polynomialsfinite element methodthin plates with openingstatic analysisdynamic analysisBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 6, Iss شماره 3, Pp 175-194 (2019)
institution	DOAJ
collection	DOAJ
language	FA
topic	boundary characteristic orthogonal polynomials finite element method thin plates with opening static analysis dynamic analysis Bridge engineering TG1-470 Building construction TH1-9745
spellingShingle	boundary characteristic orthogonal polynomials finite element method thin plates with opening static analysis dynamic analysis Bridge engineering TG1-470 Building construction TH1-9745 Ali Nikkhoo Milad Rahbar Dehghan Ali Farazandeh ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS
description	In this article, the efficiency of Boundary Characteristic Orthogonal Polynomials (BCOPs) in analyzing the static and dynamic behavior of thin rectangular plates with openings versus the Finite Element Method (FEM) and the analytical solutions (if they exist), is investigated. Despite this simple procedure, according to the obtained results, the accuracy of BCOPs in most of the studied cases compared to the analytical solutions or those obtained via FEM is acceptable. Besides, different sizes for the openings are assumed and in one case a steel strip is used to stiffen the plate around the opening. Maximum deflection of the plate is the core parameter to be compared seeking the convergence rate of the employed method. Furthermore, natural frequencies of the plate are obtained and compared to assess the capability of BCOPs in dynamic analysis of thin plates. In all of the studied cases, the efficiency of the BCOPs is evident based on its simplicity in comparison with conventional FEM or other competitive methods. Furthermore, one of the main advantages of using these functions in comparison with eigenfunction expansion method in analytical and semi-analytical approaches in the analysis of thin rectangular plates is the existence of all plates’ shape functions for any arbitrary boundary conditions, while this is limited to some special cases in the exact eigen problem solution of the plate.
format	article
author	Ali Nikkhoo Milad Rahbar Dehghan Ali Farazandeh
author_facet	Ali Nikkhoo Milad Rahbar Dehghan Ali Farazandeh
author_sort	Ali Nikkhoo
title	ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS
title_short	ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS
title_full	ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS
title_fullStr	ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS
title_full_unstemmed	ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS
title_sort	accuracy evaluation of boundary characteristic orthogonal polynomials (bcops) in determining static and dynamic responses of thin rectangular plates with openings
publisher	Iranian Society of Structrual Engineering (ISSE)
publishDate	2019
url	https://doaj.org/article/9526b979ac1141fab87a9c68dd9c5c96
work_keys_str_mv	AT alinikkhoo accuracyevaluationofboundarycharacteristicorthogonalpolynomialsbcopsindeterminingstaticanddynamicresponsesofthinrectangularplateswithopenings AT miladrahbardehghan accuracyevaluationofboundarycharacteristicorthogonalpolynomialsbcopsindeterminingstaticanddynamicresponsesofthinrectangularplateswithopenings AT alifarazandeh accuracyevaluationofboundarycharacteristicorthogonalpolynomialsbcopsindeterminingstaticanddynamicresponsesofthinrectangularplateswithopenings
_version_	1718441684732215296

ACCURACY EVALUATION OF BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS (BCOPs) IN DETERMINING STATIC AND DYNAMIC RESPONSES OF THIN RECTANGULAR PLATES WITH OPENINGS

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