A new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method

In this paper, the natural frequency of the cracked reinforced concrete (RC) beams in the first and second modes are investigated using the finite element method. In this research, the modelling of the crack is made based on continuity conditions, the correction of the moment of inertia and consider...

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Autores principales:	Ali Alijani, Morteza Khomami Abadi, Javad Razzaghi
Formato:	article
Lenguaje:	FA
Publicado:	Iranian Society of Structrual Engineering (ISSE) 2020
Materias:	modal analysis reinforced concrete beam crack finite element method rotational spring Bridge engineering TG1-470 Building construction TH1-9745
Acceso en línea:	https://doaj.org/article/3cb7fdd37cba4f0dbea50832a3100baf
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spelling	oai:doaj.org-article:3cb7fdd37cba4f0dbea50832a3100baf2021-11-08T15:53:49ZA new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method2476-39772538-261610.22065/jsce.2018.127880.1535https://doaj.org/article/3cb7fdd37cba4f0dbea50832a3100baf2020-04-01T00:00:00Zhttps://www.jsce.ir/article_79301_40c99fb4abc9ab882bf9d206f5cedeac.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616In this paper, the natural frequency of the cracked reinforced concrete (RC) beams in the first and second modes are investigated using the finite element method. In this research, the modelling of the crack is made based on continuity conditions, the correction of the moment of inertia and considering the stress intensity factor (SIF) at the crack point. In this study, the crack in opening mode is corresponded to a rotational spring. The stiffness factor of the spring is derived as a function in terms of the stress intensity factor and geometric and material characteristics of a cracked cross-section. In the present technique, the stiffness and mass matrices of a cracked element are enriched using convert matrices obtained by applying continuity conditions in the crack point. Natural frequencies of the cracked reinforced concrete Euler-Bernoulli beam are determined by inserting enriched stiffness and mass matrices in the eigenvalue equation. The effect of different depths and positions of crack and various boundary conditions are studied on the first and second vibration modes. A comparison between the results of the present work with experimental results and fully simulation in Abaqus clearly demonstrates the accuracy of the proposed technique in the determination of the natural frequency of the cracked reinforced concrete beams.Ali AlijaniMorteza Khomami AbadiJavad RazzaghiIranian Society of Structrual Engineering (ISSE)articlemodal analysisreinforced concrete beamcrackfinite element methodrotational springBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 7, Iss شماره ویژه 1 (2020)
institution	DOAJ
collection	DOAJ
language	FA
topic	modal analysis reinforced concrete beam crack finite element method rotational spring Bridge engineering TG1-470 Building construction TH1-9745
spellingShingle	modal analysis reinforced concrete beam crack finite element method rotational spring Bridge engineering TG1-470 Building construction TH1-9745 Ali Alijani Morteza Khomami Abadi Javad Razzaghi A new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method
description	In this paper, the natural frequency of the cracked reinforced concrete (RC) beams in the first and second modes are investigated using the finite element method. In this research, the modelling of the crack is made based on continuity conditions, the correction of the moment of inertia and considering the stress intensity factor (SIF) at the crack point. In this study, the crack in opening mode is corresponded to a rotational spring. The stiffness factor of the spring is derived as a function in terms of the stress intensity factor and geometric and material characteristics of a cracked cross-section. In the present technique, the stiffness and mass matrices of a cracked element are enriched using convert matrices obtained by applying continuity conditions in the crack point. Natural frequencies of the cracked reinforced concrete Euler-Bernoulli beam are determined by inserting enriched stiffness and mass matrices in the eigenvalue equation. The effect of different depths and positions of crack and various boundary conditions are studied on the first and second vibration modes. A comparison between the results of the present work with experimental results and fully simulation in Abaqus clearly demonstrates the accuracy of the proposed technique in the determination of the natural frequency of the cracked reinforced concrete beams.
format	article
author	Ali Alijani Morteza Khomami Abadi Javad Razzaghi
author_facet	Ali Alijani Morteza Khomami Abadi Javad Razzaghi
author_sort	Ali Alijani
title	A new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method
title_short	A new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method
title_full	A new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method
title_fullStr	A new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method
title_full_unstemmed	A new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method
title_sort	new technique in the modal analysis of cracked reinforced concrete (rc) beams through the finite element method
publisher	Iranian Society of Structrual Engineering (ISSE)
publishDate	2020
url	https://doaj.org/article/3cb7fdd37cba4f0dbea50832a3100baf
work_keys_str_mv	AT alialijani anewtechniqueinthemodalanalysisofcrackedreinforcedconcretercbeamsthroughthefiniteelementmethod AT mortezakhomamiabadi anewtechniqueinthemodalanalysisofcrackedreinforcedconcretercbeamsthroughthefiniteelementmethod AT javadrazzaghi anewtechniqueinthemodalanalysisofcrackedreinforcedconcretercbeamsthroughthefiniteelementmethod AT alialijani newtechniqueinthemodalanalysisofcrackedreinforcedconcretercbeamsthroughthefiniteelementmethod AT mortezakhomamiabadi newtechniqueinthemodalanalysisofcrackedreinforcedconcretercbeamsthroughthefiniteelementmethod AT javadrazzaghi newtechniqueinthemodalanalysisofcrackedreinforcedconcretercbeamsthroughthefiniteelementmethod
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A new technique in the modal analysis of cracked reinforced concrete (RC) beams through the finite element method

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