On Optimal Archgrids

Radosław Tomasz Czubacki , Tomasz Denis Lewiński

Abstract

The aim of the paper is twofold. The first part deals with the optimum design of fully stressed planar funiculars of least volume. The problem turns out to be reducible either to a transverse shear force based minimization problem or to a displacement based maximization problem. In the second part of the paper a proof is given that the similar optimum design problem of archgrids proposed by W. Prager and G.I.N. Rozvany in 1970s can be reduced to two mutually dual problems expressed in terms of a vector stress field or in terms of scalar displacements. The both formulations are new and deliver the tools for the setting and solving the problem of optimal archgrids effectively. The method is illustrated by the example concerning the optimal roof over a square domain.
Author Radosław Tomasz Czubacki (FCE / ICE)
Radosław Tomasz Czubacki,,
- The Institute of Civil Engineering
, Tomasz Denis Lewiński (FCE / ICE)
Tomasz Denis Lewiński,,
- The Institute of Civil Engineering
Pages203-225
Publication size in sheets1.1
Book Altenbach Holm, Chróścielewski Jacek, Eremeyev Victor A., Wiśniewki Krzysztof (eds.): Recent Developments in the Theory of Shells, Advanced Structured Materials, vol. 110, 2019, Springer, ISBN 978-3-030-17746-1, [978-3-030-17747-8], 799 p.
2019_Book_.pdf / No licence information (file archived - login or check accessibility on faculty)
ASJC Classification2500 General Materials Science
DOIDOI:10.1007/978-3-030-17747-8_12
URL https://link.springer.com/chapter/10.1007/978-3-030-17747-8_12
Languageen angielski
File
2019_Chapter_.pdf 633.92 KB
Score (nominal)20
Score sourcepublisherList
ScoreMinisterial score = 20.0, 30-01-2020, MonographChapterAuthor
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.477
Citation count*4 (2020-01-24)
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