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Optimal design of fibre reinforced membrane structures
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-8460-0131
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, Faculty of Science & Engineering.
Jonköping University, Sweden.
Umeå University, Sweden.
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
SPRINGER , 2017. Vol. 56, no 4, p. 781-789
Keywords [en]
Membrane; Fiber reinforcement; Design optimization
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-141118DOI: 10.1007/s00158-017-1685-5ISI: 000409350400004OAI: oai:DiVA.org:liu-141118DiVA, id: diva2:1144766
Note

Funding Agencies|Swedish Foundation for Strategic Research [AM13-0029]; Swedish Research Council [2011-4992, 2013-4708]; Swedish Research Programme Essence

Available from: 2017-09-27 Created: 2017-09-27 Last updated: 2017-10-24

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Klarbring, AndersTorstenfelt, Bo
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