Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces

The article deals with shaping effective curvilinear steel rod roof structures using genetic algorithms by implementing them for the analysis of various case studies in order to find new and efficient structures with positive characteristics. The structures considered in this article are created on...

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Autores principales:	Jolanta Dzwierzynska, Igor Labuda
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	engineering materials engineering structures optimization genetic algorithms parametric design shaping structures Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/0e75005868fe44aca1d35107063105d9
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id	oai:doaj.org-article:0e75005868fe44aca1d35107063105d9
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spelling	oai:doaj.org-article:0e75005868fe44aca1d35107063105d92021-11-25T18:13:55ZModeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces10.3390/ma142268261996-1944https://doaj.org/article/0e75005868fe44aca1d35107063105d92021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/22/6826https://doaj.org/toc/1996-1944The article deals with shaping effective curvilinear steel rod roof structures using genetic algorithms by implementing them for the analysis of various case studies in order to find new and efficient structures with positive characteristics. The structures considered in this article are created on the basis of the Enneper surface and minimal surfaces stretched on four arcs. On the Enneper surface, a single layer grid is used, while on the other surfaces, two-layer ones. The Enneper form structure with four supports and the division into an even number of parts along the perimeter of the covered place proved to be the most efficient, and the research showed that small modifications of the initial base surface in order to adapt the structure to the roof function did not significantly affect its effectiveness. However, the analysis and comparison of single and double-shell rod structures based on minimal surfaces stretched on four arcs have shown that a single-shell structure is much more effective than a double one. The paper considers the theoretical aspects of shaping effective structures, taking their masses as the optimization criterion. The optimization helped to choose the best solutions due to structures’ shapes and topologies. However, the obtained, optimized results can find practical applications after conducting physical tests.Jolanta DzwierzynskaIgor LabudaMDPI AGarticleengineering materialsengineering structuresoptimizationgenetic algorithmsparametric designshaping structuresTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 6826, p 6826 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	engineering materials engineering structures optimization genetic algorithms parametric design shaping structures Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
spellingShingle	engineering materials engineering structures optimization genetic algorithms parametric design shaping structures Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85 Jolanta Dzwierzynska Igor Labuda Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces
description	The article deals with shaping effective curvilinear steel rod roof structures using genetic algorithms by implementing them for the analysis of various case studies in order to find new and efficient structures with positive characteristics. The structures considered in this article are created on the basis of the Enneper surface and minimal surfaces stretched on four arcs. On the Enneper surface, a single layer grid is used, while on the other surfaces, two-layer ones. The Enneper form structure with four supports and the division into an even number of parts along the perimeter of the covered place proved to be the most efficient, and the research showed that small modifications of the initial base surface in order to adapt the structure to the roof function did not significantly affect its effectiveness. However, the analysis and comparison of single and double-shell rod structures based on minimal surfaces stretched on four arcs have shown that a single-shell structure is much more effective than a double one. The paper considers the theoretical aspects of shaping effective structures, taking their masses as the optimization criterion. The optimization helped to choose the best solutions due to structures’ shapes and topologies. However, the obtained, optimized results can find practical applications after conducting physical tests.
format	article
author	Jolanta Dzwierzynska Igor Labuda
author_facet	Jolanta Dzwierzynska Igor Labuda
author_sort	Jolanta Dzwierzynska
title	Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces
title_short	Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces
title_full	Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces
title_fullStr	Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces
title_full_unstemmed	Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces
title_sort	modeling of curvilinear steel rod structures based on minimal surfaces
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0e75005868fe44aca1d35107063105d9
work_keys_str_mv	AT jolantadzwierzynska modelingofcurvilinearsteelrodstructuresbasedonminimalsurfaces AT igorlabuda modelingofcurvilinearsteelrodstructuresbasedonminimalsurfaces
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Modeling of Curvilinear Steel Rod Structures Based on Minimal Surfaces

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