Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs
This article provides a novel insight into specific properties of flat folded sheets transformed elastically into building roof shells. Elastic twist transformations of the sheets resulting from the arrangement of the sheets on two skew roof directrices cause changes in the geometric and mechanical...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/14/8/2051 |
| _version_ | 1797537131365662720 |
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| author | Jacek Abramczyk |
| author_facet | Jacek Abramczyk |
| author_sort | Jacek Abramczyk |
| collection | DOAJ |
| description | This article provides a novel insight into specific properties of flat folded sheets transformed elastically into building roof shells. Elastic twist transformations of the sheets resulting from the arrangement of the sheets on two skew roof directrices cause changes in the geometric and mechanical sheet properties of the roof shell sheeting composed of these sheets. Regular smooth-ruled surfaces and their characteristic lines are used in the analysis of changes in the geometric properties. In the analysis of the mechanical changes, the constitutive relations and complex state of stresses are considered. The analysis is carried out on the basis of the results of the experimental tests and FEM computer simulations. They have led to the development of such a method of shaping of the effectively transformed folded covers that ensures the initial effort of each shell fold to be the smallest possible. |
| first_indexed | 2024-03-10T12:11:38Z |
| format | Article |
| id | doaj.art-86fa909517c942b0a9fbd712f251664c |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T12:11:38Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-86fa909517c942b0a9fbd712f251664c2023-11-21T16:11:44ZengMDPI AGMaterials1996-19442021-04-01148205110.3390/ma14082051Folded Sheets as a Universal Material for Shaping Transformed Shell RoofsJacek Abramczyk0Department of Architectural Design and Engineering Graphics, Rzeszow University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, PolandThis article provides a novel insight into specific properties of flat folded sheets transformed elastically into building roof shells. Elastic twist transformations of the sheets resulting from the arrangement of the sheets on two skew roof directrices cause changes in the geometric and mechanical sheet properties of the roof shell sheeting composed of these sheets. Regular smooth-ruled surfaces and their characteristic lines are used in the analysis of changes in the geometric properties. In the analysis of the mechanical changes, the constitutive relations and complex state of stresses are considered. The analysis is carried out on the basis of the results of the experimental tests and FEM computer simulations. They have led to the development of such a method of shaping of the effectively transformed folded covers that ensures the initial effort of each shell fold to be the smallest possible.https://www.mdpi.com/1996-1944/14/8/2051thin-walled folded sheetselastic shape transformationscorrugated roof shellssmooth ruled surface modelsconstitutive mechanical relationscomputational simulations |
| spellingShingle | Jacek Abramczyk Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs Materials thin-walled folded sheets elastic shape transformations corrugated roof shells smooth ruled surface models constitutive mechanical relations computational simulations |
| title | Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs |
| title_full | Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs |
| title_fullStr | Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs |
| title_full_unstemmed | Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs |
| title_short | Folded Sheets as a Universal Material for Shaping Transformed Shell Roofs |
| title_sort | folded sheets as a universal material for shaping transformed shell roofs |
| topic | thin-walled folded sheets elastic shape transformations corrugated roof shells smooth ruled surface models constitutive mechanical relations computational simulations |
| url | https://www.mdpi.com/1996-1944/14/8/2051 |
| work_keys_str_mv | AT jacekabramczyk foldedsheetsasauniversalmaterialforshapingtransformedshellroofs |