Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam

This paper quantifies the uncertainty emanated from modeling steel structures using a Timoshenko beam. Using continuous beams to model building structures is a conventional approach in structural dynamic analyses. The use of Timoshenko beams, as a class of continuous beam models, in lieu of finite e...

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Autores principales:	Mahdi Naderi, Mojtaba Mahsuli
Formato:	article
Lenguaje:	FA
Publicado:	Iranian Society of Structrual Engineering (ISSE) 2019
Materias:	timoshenko beam characteristic equation probabilistic analysis bayesian identification finite element Bridge engineering TG1-470 Building construction TH1-9745
Acceso en línea:	https://doaj.org/article/7c251517e67a410487156b762500e669
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spelling	oai:doaj.org-article:7c251517e67a410487156b762500e6692021-11-08T15:52:34ZUncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam2476-39772538-261610.22065/jsce.2017.97311.1316https://doaj.org/article/7c251517e67a410487156b762500e6692019-06-01T00:00:00Zhttps://www.jsce.ir/article_53653_a41d34e005ac01e644d30bd986f95d16.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616This paper quantifies the uncertainty emanated from modeling steel structures using a Timoshenko beam. Using continuous beams to model building structures is a conventional approach in structural dynamic analyses. The use of Timoshenko beams, as a class of continuous beam models, in lieu of finite element models significantly expedites the computations. In turn, the reduction in the computational cost facilitates probabilistic, online identification and rapid damage detection of building structures in the aftermath of a seismic event. The prerequisite for structural identification using this method is the quantification of uncertainties that arise as a result of approximating the structure with a continuous beam, which is the primary objective of this research. To this end, an automated system is developed and subsequently employed to design 1000 finite element models of building structures followed by eigen-analyses to determine their natural frequencies and mode shapes. Thereafter, the residual of the eigen-equation of the Timoshenko beam given the frequency and mode shape from the exact finite element model is computed for each structure. Statistical analysis of these residuals for various structures leads to the distribution type, mean, and standard deviation for the probability distribution of the model error. The results show that the error is nearly insensitive to the height and dimensions of the plan, but is heavily dependent on the structural system. The results also show that the error standard deviation for steel moment-resisting frame systems is 3.5 times smaller than that of the steel concentrically-braced systems. This indicates that the Timoshenko beam model class provides a better estimation of steel moment-resisting frame systems.Mahdi NaderiMojtaba MahsuliIranian Society of Structrual Engineering (ISSE)articletimoshenko beamcharacteristic equationprobabilistic analysisbayesian identificationfinite elementBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 6, Iss شماره ویژه 1, Pp 27-42 (2019)
institution	DOAJ
collection	DOAJ
language	FA
topic	timoshenko beam characteristic equation probabilistic analysis bayesian identification finite element Bridge engineering TG1-470 Building construction TH1-9745
spellingShingle	timoshenko beam characteristic equation probabilistic analysis bayesian identification finite element Bridge engineering TG1-470 Building construction TH1-9745 Mahdi Naderi Mojtaba Mahsuli Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam
description	This paper quantifies the uncertainty emanated from modeling steel structures using a Timoshenko beam. Using continuous beams to model building structures is a conventional approach in structural dynamic analyses. The use of Timoshenko beams, as a class of continuous beam models, in lieu of finite element models significantly expedites the computations. In turn, the reduction in the computational cost facilitates probabilistic, online identification and rapid damage detection of building structures in the aftermath of a seismic event. The prerequisite for structural identification using this method is the quantification of uncertainties that arise as a result of approximating the structure with a continuous beam, which is the primary objective of this research. To this end, an automated system is developed and subsequently employed to design 1000 finite element models of building structures followed by eigen-analyses to determine their natural frequencies and mode shapes. Thereafter, the residual of the eigen-equation of the Timoshenko beam given the frequency and mode shape from the exact finite element model is computed for each structure. Statistical analysis of these residuals for various structures leads to the distribution type, mean, and standard deviation for the probability distribution of the model error. The results show that the error is nearly insensitive to the height and dimensions of the plan, but is heavily dependent on the structural system. The results also show that the error standard deviation for steel moment-resisting frame systems is 3.5 times smaller than that of the steel concentrically-braced systems. This indicates that the Timoshenko beam model class provides a better estimation of steel moment-resisting frame systems.
format	article
author	Mahdi Naderi Mojtaba Mahsuli
author_facet	Mahdi Naderi Mojtaba Mahsuli
author_sort	Mahdi Naderi
title	Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam
title_short	Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam
title_full	Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam
title_fullStr	Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam
title_full_unstemmed	Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam
title_sort	uncertainty quantification in modeling of steel structures using timoshenko beam
publisher	Iranian Society of Structrual Engineering (ISSE)
publishDate	2019
url	https://doaj.org/article/7c251517e67a410487156b762500e669
work_keys_str_mv	AT mahdinaderi uncertaintyquantificationinmodelingofsteelstructuresusingtimoshenkobeam AT mojtabamahsuli uncertaintyquantificationinmodelingofsteelstructuresusingtimoshenkobeam
_version_	1718441676441124864

Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam

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