On Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures

The main aim of this work was to investigate a numerical error in determining limit state functions, which describe the extreme magnitudes of steel structures with respect to random variables. It was assisted here by the global version of the response function method (RFM). Various approximations of...

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Autores principales:	Bartłomiej Pokusiński, Marcin Kamiński
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	response prediction limit state function response function method probabilistic direct integration approach steel diagrid structures Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/672639a22cb1473f8d6e72561203314e
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id	oai:doaj.org-article:672639a22cb1473f8d6e72561203314e
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spelling	oai:doaj.org-article:672639a22cb1473f8d6e72561203314e2021-11-11T15:14:16ZOn Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures10.3390/app1121101792076-3417https://doaj.org/article/672639a22cb1473f8d6e72561203314e2021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10179https://doaj.org/toc/2076-3417The main aim of this work was to investigate a numerical error in determining limit state functions, which describe the extreme magnitudes of steel structures with respect to random variables. It was assisted here by the global version of the response function method (RFM). Various approximations of trial points generated on the basis of several hundred selected reference composite functions based on polynomials were analyzed. The final goal was to find some criterion—between approximation and input data—for the selection of the response function leading to relative a posteriori errors less than 1%. Unlike the classical problem of curve fitting, the accuracy of the final values of probabilistic moments was verified here as they can be used in further reliability calculations. The use of the criterion and the associated way of selecting the response function was demonstrated on the example of steel diagrid grillages. It resulted in quite high correctness in comparison with extended FEM tests.Bartłomiej PokusińskiMarcin KamińskiMDPI AGarticleresponse predictionlimit state functionresponse function methodprobabilistic direct integration approachsteel diagrid structuresTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10179, p 10179 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	response prediction limit state function response function method probabilistic direct integration approach steel diagrid structures Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	response prediction limit state function response function method probabilistic direct integration approach steel diagrid structures Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Bartłomiej Pokusiński Marcin Kamiński On Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures
description	The main aim of this work was to investigate a numerical error in determining limit state functions, which describe the extreme magnitudes of steel structures with respect to random variables. It was assisted here by the global version of the response function method (RFM). Various approximations of trial points generated on the basis of several hundred selected reference composite functions based on polynomials were analyzed. The final goal was to find some criterion—between approximation and input data—for the selection of the response function leading to relative a posteriori errors less than 1%. Unlike the classical problem of curve fitting, the accuracy of the final values of probabilistic moments was verified here as they can be used in further reliability calculations. The use of the criterion and the associated way of selecting the response function was demonstrated on the example of steel diagrid grillages. It resulted in quite high correctness in comparison with extended FEM tests.
format	article
author	Bartłomiej Pokusiński Marcin Kamiński
author_facet	Bartłomiej Pokusiński Marcin Kamiński
author_sort	Bartłomiej Pokusiński
title	On Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures
title_short	On Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures
title_full	On Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures
title_fullStr	On Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures
title_full_unstemmed	On Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures
title_sort	on selecting composite functions based on polynomials for responses describing extreme magnitudes of structures
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/672639a22cb1473f8d6e72561203314e
work_keys_str_mv	AT bartłomiejpokusinski onselectingcompositefunctionsbasedonpolynomialsforresponsesdescribingextrememagnitudesofstructures AT marcinkaminski onselectingcompositefunctionsbasedonpolynomialsforresponsesdescribingextrememagnitudesofstructures
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On Selecting Composite Functions Based on Polynomials for Responses Describing Extreme Magnitudes of Structures

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