Algorithm of numerical optimization of steel structures on basis of minimum weight criterion

The description of the algorithm of steel structures optimal design is described in the article. The calculation model is represented by flat and spatial rod elements. The problem of optimization is resolved with the help of mathematical programming. The material consumption is taken as a criterion...

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Main Author: Dmitrieva Tatiana
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201821201024
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author Dmitrieva Tatiana
author_facet Dmitrieva Tatiana
author_sort Dmitrieva Tatiana
collection DOAJ
description The description of the algorithm of steel structures optimal design is described in the article. The calculation model is represented by flat and spatial rod elements. The problem of optimization is resolved with the help of mathematical programming. The material consumption is taken as a criterion of optimality. A wide range of inspections is presented in the form of regulatory requirements for strength, rigidity and local stability. The geometry parameters of the sections are varied, as well as the external geometry of the nodes of the final element model. Both continuous and discrete variations might be possible. The algorithm is implemented in two versions: on the basis of imitating the short-term problem and with the direct reference to the target and restrictive functions at each step of optimization process. The results of the solution of the steel framework optimization problem during on-going and discrete variations of geometric parameters are presented. The solutions obtained are estimated on uniqueness.
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spelling doaj.art-1de4e26321bd48d4a74ccf1897cb12bd2022-12-21T22:00:35ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012120102410.1051/matecconf/201821201024matecconf_icre2018_01024Algorithm of numerical optimization of steel structures on basis of minimum weight criterionDmitrieva Tatiana0Irkutsk National Research Technical UniversityThe description of the algorithm of steel structures optimal design is described in the article. The calculation model is represented by flat and spatial rod elements. The problem of optimization is resolved with the help of mathematical programming. The material consumption is taken as a criterion of optimality. A wide range of inspections is presented in the form of regulatory requirements for strength, rigidity and local stability. The geometry parameters of the sections are varied, as well as the external geometry of the nodes of the final element model. Both continuous and discrete variations might be possible. The algorithm is implemented in two versions: on the basis of imitating the short-term problem and with the direct reference to the target and restrictive functions at each step of optimization process. The results of the solution of the steel framework optimization problem during on-going and discrete variations of geometric parameters are presented. The solutions obtained are estimated on uniqueness.https://doi.org/10.1051/matecconf/201821201024
spellingShingle Dmitrieva Tatiana
Algorithm of numerical optimization of steel structures on basis of minimum weight criterion
MATEC Web of Conferences
title Algorithm of numerical optimization of steel structures on basis of minimum weight criterion
title_full Algorithm of numerical optimization of steel structures on basis of minimum weight criterion
title_fullStr Algorithm of numerical optimization of steel structures on basis of minimum weight criterion
title_full_unstemmed Algorithm of numerical optimization of steel structures on basis of minimum weight criterion
title_short Algorithm of numerical optimization of steel structures on basis of minimum weight criterion
title_sort algorithm of numerical optimization of steel structures on basis of minimum weight criterion
url https://doi.org/10.1051/matecconf/201821201024
work_keys_str_mv AT dmitrievatatiana algorithmofnumericaloptimizationofsteelstructuresonbasisofminimumweightcriterion