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Optimal design of fibre reinforced membrane structures
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2017 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 56, no 4, p. 781-789Article in journal (Refereed) Published
Abstract [en]

A design problem of finding an optimally stiff membrane structure by selecting one-dimensional fiber reinforcements is formulated and solved. The membrane model is derived in a novel manner from a particular three-dimensional linear elastic orthotropic model by appropriate assumptions. The design problem is given in the form of two minimization statements. After finite element discretization, the separate treatment of each of the two statements follows from classical results and methods of structural optimization: the stiffest orientation of reinforcing fibers coincides with principal stresses and the separate selection of density of fibers is a convex problem that can be solved by optimality criteria iterations. Numerical solutions are shown for two particular configurations. The first for a statically determined structure and the second for a statically undetermined one. The latter shows related but non-unique solutions.

Place, publisher, year, edition, pages
2017. Vol. 56, no 4, p. 781-789
Keywords [en]
Membrane, Fiber reinforcement, Design optimization
National Category
Computational Mathematics Applied Mechanics
Identifiers
URN: urn:nbn:se:umu:diva-139781DOI: 10.1007/s00158-017-1685-5ISI: 000409350400004OAI: oai:DiVA.org:umu-139781DiVA, id: diva2:1145395
Available from: 2017-09-28 Created: 2017-09-28 Last updated: 2018-06-09Bibliographically approved

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Larson, Mats G.

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • de-DE
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Output format
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