Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod

Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod

The shape of the optimal rod determined in the work meets the condition of mass conservation in relation to the reference rod. At the same time, this rod shows a significant increase in resistance to axial force. In the examples presented, this increase was 80% and 117%, respectively, for rods with...

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Main Authors: Marcinowski J., Sadowski M.
Format: Article
Language:English
Published: Sciendo 2020-06-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
compressed rod
hollow rod
shape optimization
buckling criterion
analytical approach
erfi function
program mathematicatm
Online Access:https://doi.org/10.2478/ijame-2020-0021
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spelling doaj-bde3efc8002d4709bf4d0bfa94d4f50d2021-09-05T21:02:03ZengSciendoInternational Journal of Applied Mechanics and Engineering1734-44922353-90032020-06-01252758710.2478/ijame-2020-0021ijame-2020-0021Using the ERFI Function in the Problem of the Shape Optimization of the Compressed RodMarcinowski J.0Sadowski M.1Chair of Building Constructions, Institute of Civil Engineering, University of Zielona Góra, Szafrana 1, 65 – 516Zielona Góra, PolandChair of Building Constructions, Institute of Civil Engineering, University of Zielona Góra, Szafrana 1, 65 – 516Zielona Góra, PolandThe shape of the optimal rod determined in the work meets the condition of mass conservation in relation to the reference rod. At the same time, this rod shows a significant increase in resistance to axial force. In the examples presented, this increase was 80% and 117%, respectively, for rods with slenderness of 125 and 175. A practical benefit from the use of compression rods of the proposed shapes is clearly visible.https://doi.org/10.2478/ijame-2020-0021compressed rodhollow rodshape optimizationbuckling criterionanalytical approacherfi functionprogram mathematicatm
collection DOAJ
language English
format Article
sources DOAJ
author Marcinowski J.
Sadowski M.
spellingShingle Marcinowski J.
Sadowski M.
Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod
International Journal of Applied Mechanics and Engineering
compressed rod
hollow rod
shape optimization
buckling criterion
analytical approach
erfi function
program mathematicatm
author_facet Marcinowski J.
Sadowski M.
author_sort Marcinowski J.
title Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod
title_short Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod
title_full Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod
title_fullStr Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod
title_full_unstemmed Using the ERFI Function in the Problem of the Shape Optimization of the Compressed Rod
title_sort using the erfi function in the problem of the shape optimization of the compressed rod
publisher Sciendo
series International Journal of Applied Mechanics and Engineering
issn 1734-4492
2353-9003
publishDate 2020-06-01
description The shape of the optimal rod determined in the work meets the condition of mass conservation in relation to the reference rod. At the same time, this rod shows a significant increase in resistance to axial force. In the examples presented, this increase was 80% and 117%, respectively, for rods with slenderness of 125 and 175. A practical benefit from the use of compression rods of the proposed shapes is clearly visible.
topic compressed rod
hollow rod
shape optimization
buckling criterion
analytical approach
erfi function
program mathematicatm
url https://doi.org/10.2478/ijame-2020-0021
work_keys_str_mv AT marcinowskij usingtheerfifunctionintheproblemoftheshapeoptimizationofthecompressedrod
AT sadowskim usingtheerfifunctionintheproblemoftheshapeoptimizationofthecompressedrod
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