In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome

The designers of civil engineering structures often have to face the problem of the reliability of complex computational analyses performed most often with the Finite Element Method (FEM). Any assessment of reliability of such analyses is difficult and can only be approximate. The present paper puts...

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Autores principales:	Przemysław Czumaj, Sławomir Dudziak, Zbigniew Kacprzyk
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	FEM dome modal analysis reliability of calculations verification and validation Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2cba3b3b86764bfc89231f14eb7bef5e
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spelling	oai:doaj.org-article:2cba3b3b86764bfc89231f14eb7bef5e2021-11-25T19:07:11ZIn-Depth Verification of a Numerical Model for an Axisymmetric RC Dome10.3390/sym131121522073-8994https://doaj.org/article/2cba3b3b86764bfc89231f14eb7bef5e2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2152https://doaj.org/toc/2073-8994The designers of civil engineering structures often have to face the problem of the reliability of complex computational analyses performed most often with the Finite Element Method (FEM). Any assessment of reliability of such analyses is difficult and can only be approximate. The present paper puts forward a new method of verification and validation of the structural analyses upon an illustrative example of a dome strengthened by circumferential ribs along the upper and lower edges. Four computational systems were used, namely Abaqus, Autodesk Robot, Dlubal RFEM, and FEAS. Different models were also analyzed—two-dimensional (2D) and three-dimensional (3D) ones using continuum, bar, and shell finite elements. The results of the static (with two kinds of load—self-weight and load distributed along the upper ring) and modal analyses are presented. A detailed comparison between the systems’ and models’ predictions was made. In general, the spatial models predicted a less stiff behavior of the analyzed dome than the planar models. The good agreement between different models and systems was obtained for the first natural frequency with axisymmetric eigenmodes (except from the Autodesk Robot system). The presented approach to the verification of complex shell–bar models can be effectively applied by structural designers.Przemysław CzumajSławomir DudziakZbigniew KacprzykMDPI AGarticleFEMdomemodal analysisreliability of calculationsverification and validationMathematicsQA1-939ENSymmetry, Vol 13, Iss 2152, p 2152 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	FEM dome modal analysis reliability of calculations verification and validation Mathematics QA1-939
spellingShingle	FEM dome modal analysis reliability of calculations verification and validation Mathematics QA1-939 Przemysław Czumaj Sławomir Dudziak Zbigniew Kacprzyk In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome
description	The designers of civil engineering structures often have to face the problem of the reliability of complex computational analyses performed most often with the Finite Element Method (FEM). Any assessment of reliability of such analyses is difficult and can only be approximate. The present paper puts forward a new method of verification and validation of the structural analyses upon an illustrative example of a dome strengthened by circumferential ribs along the upper and lower edges. Four computational systems were used, namely Abaqus, Autodesk Robot, Dlubal RFEM, and FEAS. Different models were also analyzed—two-dimensional (2D) and three-dimensional (3D) ones using continuum, bar, and shell finite elements. The results of the static (with two kinds of load—self-weight and load distributed along the upper ring) and modal analyses are presented. A detailed comparison between the systems’ and models’ predictions was made. In general, the spatial models predicted a less stiff behavior of the analyzed dome than the planar models. The good agreement between different models and systems was obtained for the first natural frequency with axisymmetric eigenmodes (except from the Autodesk Robot system). The presented approach to the verification of complex shell–bar models can be effectively applied by structural designers.
format	article
author	Przemysław Czumaj Sławomir Dudziak Zbigniew Kacprzyk
author_facet	Przemysław Czumaj Sławomir Dudziak Zbigniew Kacprzyk
author_sort	Przemysław Czumaj
title	In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome
title_short	In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome
title_full	In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome
title_fullStr	In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome
title_full_unstemmed	In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome
title_sort	in-depth verification of a numerical model for an axisymmetric rc dome
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/2cba3b3b86764bfc89231f14eb7bef5e
work_keys_str_mv	AT przemysławczumaj indepthverificationofanumericalmodelforanaxisymmetricrcdome AT sławomirdudziak indepthverificationofanumericalmodelforanaxisymmetricrcdome AT zbigniewkacprzyk indepthverificationofanumericalmodelforanaxisymmetricrcdome
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In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome

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