Optimal archgrids: a variational setting
Authors:
- Radosław Tomasz Czubacki,
- Tomasz Denis Lewiński
Abstract
The paper deals with the variational setting of the optimal archgrid construction. The archgrids, discovered by William Prager and George Rozvany in 1970s, are viewed here as tension-free and bending-free, uniformly stressed grid-shells forming vaults unevenly supported along the closed contour of the basis domain. The optimal archgrids are characterized by the least volume. The optimization problem of volume minimization is reduced to the pair of two auxiliary mutually dual problems, having mathematical structure similar to that known from the theory of optimal layout: the integrand of the auxiliary minimization problem is of linear growth, while the auxiliary maximization problem involves test functions subjected to mean-square slope conditions. The noted features of the variational setting governs the main properties of the archgrid shapes: they are vaults over a subregion of the basis domain being the effective domain of the minimizer of the auxiliary problem. Thus, the method is capable of cutting out the material domain from the design domain; this process is built in within the theory. Moreover, the present paper puts forward new methods of numerical construction of optimal archgrids and discusses their applicability ranges.
- Record ID
- WUT7ab60b2590864072995ab1ea2bb3605c
- Author
- Journal series
- Structural and Multidisciplinary Optimization, ISSN 1615-147X, e-ISSN 1615-1488
- Issue year
- 2020
- Vol
- 62
- No
- 3
- Pages
- 1371-1393
- Publication size in sheets
- 1.10
- Keywords in English
- Prager-Rozvany archgrids, Michell structures, Least-volume design
- ASJC Classification
- ; ; ; ;
- DOI
- DOI:10.1007/s00158-020-02562-y Opening in a new tab
- URL
- https://link.springer.com/article/10.1007%2Fs00158-020-02562-y Opening in a new tab
- Language
- (en) English
- License
- File
-
- File: 1
- Optimal archgrids: a variational setting, File Czubacki-Lewiński2020.pdf / 6 MB
- Czubacki-Lewiński2020.pdf
- publication date: 25-05-2020
- Optimal archgrids: a variational setting, File Czubacki-Lewiński2020.pdf / 6 MB
-
- Score (nominal)
- 100
- Score source
- journalList
- Score
- = 100.0, 18-05-2022, ArticleFromJournal
- Publication indicators
- = 4; = 6; = 9; : 2017 = 1.760; : 2020 (2 years) = 4.542 - 2020 (5 years) =4.715
- Citation count
- 9
- Uniform Resource Identifier
- https://repo.pw.edu.pl/info/article/WUT7ab60b2590864072995ab1ea2bb3605c/
- URN
urn:pw-repo:WUT7ab60b2590864072995ab1ea2bb3605c
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.