Application of modified energy method in the nonlinear cyclic behavior of structures

Structural elements exhibit cyclic behavior or hysteresis under seismic loads; therefore, the analysis of this type of response is of great importance in Earthquake Engineering. On the other hand, due to the complexity of this nonlinear behavior and the absence of an explicit function to express the...

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Autores principales: mohammad Jalili Sadr Abad, Mussa Mahmoudi, reza Mollapour Asl
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Publicado: Iranian Society of Structrual Engineering (ISSE) 2019
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Acceso en línea:https://doaj.org/article/4e0f7328467d4015bcc286f890c095ba
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spelling oai:doaj.org-article:4e0f7328467d4015bcc286f890c095ba2021-11-08T15:52:22ZApplication of modified energy method in the nonlinear cyclic behavior of structures2476-39772538-261610.22065/jsce.2018.109272.1400https://doaj.org/article/4e0f7328467d4015bcc286f890c095ba2019-11-01T00:00:00Zhttps://www.jsce.ir/article_61780_82a4ed9874dce9c9b276c19b35117217.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616Structural elements exhibit cyclic behavior or hysteresis under seismic loads; therefore, the analysis of this type of response is of great importance in Earthquake Engineering. On the other hand, due to the complexity of this nonlinear behavior and the absence of an explicit function to express the restoring-force regarding deformation, the modeling and analyzing of the phenomenon of hysteresis is one of the most complex problems in nonlinear dynamics of structures. In this research, the modified energy method is used as a numerical method to analyze this type of systems. To achieve the objectives of this research, a brief review on elastoplastic hysteresis models is initially considered. Then, by formulating the energy equilibrium equations for single-degree freedom structures with nonlinear material-cyclic behavior, the computer-implemented algorithm of this method is presented in a step-by-step manner. A simple single-degree-of-freedom example with bilinear-elastic stiffness under free vibration using the proposed method is provided for the reader's familiarity with the concept of the proposed method. Subsequently, a one-story structure and a multiple-degrees-of-freedom system with elastoplastic behavior are analyzed using the given method, and conventional numerical methods are utilized to verify the results. In general, the results of this study showed that this method has a good accuracy compared to other techniques in the analysis of hysteresis behavior of structures. In addition, this approach decreases the order in the governing equation of the problem; and, there is no need to define the additional adjustable parameters in numerical solution. On the whole, the presented technique with simplicity in computer execution can be used by creating a physical sense in the analyst to calculate the response of hysteresis structural systems.mohammad Jalili Sadr AbadMussa Mahmoudireza Mollapour AslIranian Society of Structrual Engineering (ISSE)articlecyclic behaviormodified energy methodelasto plastic behaviorseismic analysistime history analysisBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 6, Iss شماره 3, Pp 137-158 (2019)
institution DOAJ
collection DOAJ
language FA
topic cyclic behavior
modified energy method
elasto plastic behavior
seismic analysis
time history analysis
Bridge engineering
TG1-470
Building construction
TH1-9745
spellingShingle cyclic behavior
modified energy method
elasto plastic behavior
seismic analysis
time history analysis
Bridge engineering
TG1-470
Building construction
TH1-9745
mohammad Jalili Sadr Abad
Mussa Mahmoudi
reza Mollapour Asl
Application of modified energy method in the nonlinear cyclic behavior of structures
description Structural elements exhibit cyclic behavior or hysteresis under seismic loads; therefore, the analysis of this type of response is of great importance in Earthquake Engineering. On the other hand, due to the complexity of this nonlinear behavior and the absence of an explicit function to express the restoring-force regarding deformation, the modeling and analyzing of the phenomenon of hysteresis is one of the most complex problems in nonlinear dynamics of structures. In this research, the modified energy method is used as a numerical method to analyze this type of systems. To achieve the objectives of this research, a brief review on elastoplastic hysteresis models is initially considered. Then, by formulating the energy equilibrium equations for single-degree freedom structures with nonlinear material-cyclic behavior, the computer-implemented algorithm of this method is presented in a step-by-step manner. A simple single-degree-of-freedom example with bilinear-elastic stiffness under free vibration using the proposed method is provided for the reader's familiarity with the concept of the proposed method. Subsequently, a one-story structure and a multiple-degrees-of-freedom system with elastoplastic behavior are analyzed using the given method, and conventional numerical methods are utilized to verify the results. In general, the results of this study showed that this method has a good accuracy compared to other techniques in the analysis of hysteresis behavior of structures. In addition, this approach decreases the order in the governing equation of the problem; and, there is no need to define the additional adjustable parameters in numerical solution. On the whole, the presented technique with simplicity in computer execution can be used by creating a physical sense in the analyst to calculate the response of hysteresis structural systems.
format article
author mohammad Jalili Sadr Abad
Mussa Mahmoudi
reza Mollapour Asl
author_facet mohammad Jalili Sadr Abad
Mussa Mahmoudi
reza Mollapour Asl
author_sort mohammad Jalili Sadr Abad
title Application of modified energy method in the nonlinear cyclic behavior of structures
title_short Application of modified energy method in the nonlinear cyclic behavior of structures
title_full Application of modified energy method in the nonlinear cyclic behavior of structures
title_fullStr Application of modified energy method in the nonlinear cyclic behavior of structures
title_full_unstemmed Application of modified energy method in the nonlinear cyclic behavior of structures
title_sort application of modified energy method in the nonlinear cyclic behavior of structures
publisher Iranian Society of Structrual Engineering (ISSE)
publishDate 2019
url https://doaj.org/article/4e0f7328467d4015bcc286f890c095ba
work_keys_str_mv AT mohammadjalilisadrabad applicationofmodifiedenergymethodinthenonlinearcyclicbehaviorofstructures
AT mussamahmoudi applicationofmodifiedenergymethodinthenonlinearcyclicbehaviorofstructures
AT rezamollapourasl applicationofmodifiedenergymethodinthenonlinearcyclicbehaviorofstructures
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