Structural performance assessment of stochastic fractal grid-shell structures using different recursive generation algorithms.
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| Title: | Structural performance assessment of stochastic fractal grid-shell structures using different recursive generation algorithms. |
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| Authors: | Shahbazi, Yaser1 (AUTHOR) y.shahbazi@tabriziau.ac.ir, Abdkarimi, Mahsa1 (AUTHOR) |
| Source: | International Journal of Space Structures. Jun2026, Vol. 41 Issue 2, p61-78. 18p. |
| Subjects: | Structural optimization, Fractals, Structural design, Fractal analysis, Structural analysis (Engineering) |
| Abstract: | Fractal geometries, inspired by patterns found in nature, offer a powerful framework for generating complex and adaptive forms through simple recursive rules. The application of these geometries in architectural design may enhance the structural efficiency. In this regard, this paper aims to evaluate the behavior of fractal grid-shell structures under both symmetric and asymmetric loading conditions. In order to assess the influence of different generation methods on the structural performance, the assumed fractal pattern is created based on three different strategies, including (a) a fully stochastic approach, (b) a deterministic approach with constant ratios in all iterations, and (c) a deterministic approach with independent ratios in each iteration. A conventional grid-shell structure with square cells is also adopted for comparison purposes. The generated planar patterns are mapped to three surfaces with different characteristics (i.e., spherical, hyperboloid, and hyperbolic surfaces) to form grid-shell structures. To achieve the optimal design of the considered structures, both single and multi-objective optimization approaches are used. Structural mass and maximum deflection are considered as two main goals to be minimized. The results highlight the effectiveness of fractal grids, in particular those created through the third strategy, in achieving optimized, lightweight structural systems under both loading conditions. The finding is confirmed through the comparison of structural mass in constant deflections and evaluating their stress and deflection distribution contours. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Space Structures is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 194579946 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Structural performance assessment of stochastic fractal grid-shell structures using different recursive generation algorithms. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Shahbazi%2C+Yaser%22">Shahbazi, Yaser</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> y.shahbazi@tabriziau.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Abdkarimi%2C+Mahsa%22">Abdkarimi, Mahsa</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Space+Structures%22">International Journal of Space Structures</searchLink>. Jun2026, Vol. 41 Issue 2, p61-78. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Structural+optimization%22">Structural optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Fractals%22">Fractals</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+design%22">Structural design</searchLink><br /><searchLink fieldCode="DE" term="%22Fractal+analysis%22">Fractal analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+analysis+%28Engineering%29%22">Structural analysis (Engineering)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Fractal geometries, inspired by patterns found in nature, offer a powerful framework for generating complex and adaptive forms through simple recursive rules. The application of these geometries in architectural design may enhance the structural efficiency. In this regard, this paper aims to evaluate the behavior of fractal grid-shell structures under both symmetric and asymmetric loading conditions. In order to assess the influence of different generation methods on the structural performance, the assumed fractal pattern is created based on three different strategies, including (a) a fully stochastic approach, (b) a deterministic approach with constant ratios in all iterations, and (c) a deterministic approach with independent ratios in each iteration. A conventional grid-shell structure with square cells is also adopted for comparison purposes. The generated planar patterns are mapped to three surfaces with different characteristics (i.e., spherical, hyperboloid, and hyperbolic surfaces) to form grid-shell structures. To achieve the optimal design of the considered structures, both single and multi-objective optimization approaches are used. Structural mass and maximum deflection are considered as two main goals to be minimized. The results highlight the effectiveness of fractal grids, in particular those created through the third strategy, in achieving optimized, lightweight structural systems under both loading conditions. The finding is confirmed through the comparison of structural mass in constant deflections and evaluating their stress and deflection distribution contours. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Space Structures is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1177/09560599261418505 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 61 Subjects: – SubjectFull: Structural optimization Type: general – SubjectFull: Fractals Type: general – SubjectFull: Structural design Type: general – SubjectFull: Fractal analysis Type: general – SubjectFull: Structural analysis (Engineering) Type: general Titles: – TitleFull: Structural performance assessment of stochastic fractal grid-shell structures using different recursive generation algorithms. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Shahbazi, Yaser – PersonEntity: Name: NameFull: Abdkarimi, Mahsa IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 09560599 Numbering: – Type: volume Value: 41 – Type: issue Value: 2 Titles: – TitleFull: International Journal of Space Structures Type: main |
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