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Optimal design of fibre reinforced membrane structures
Division of Solid Mechanics, Linköping University, Linköping, Sweden.
Division of Solid Mechanics, Linköping University, Linköping, Sweden.
Högskolan i Jönköping, Tekniska Högskolan, JTH, Produktutveckling. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.ORCID-id: 0000-0001-7352-1550
Department of Mathematics and Mathematical Statistics, Umeå University, Umeå, Sweden.
2017 (engelsk)Inngår i: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 56, nr 4, s. 781-789Artikkel i tidsskrift (Fagfellevurdert) 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. 

sted, utgiver, år, opplag, sider
Springer, 2017. Vol. 56, nr 4, s. 781-789
Emneord [en]
Design optimization, Fiber reinforcement, Membrane, Fiber reinforced materials, Fibers, Membrane structures, Membranes, Reinforcement, Structural optimization, Fibre reinforced, Finite-element discretization, Membrane modeling, Non-unique solutions, Numerical solution, Optimality criteria, Reinforcing fibers, Structural design
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Identifikatorer
URN: urn:nbn:se:hj:diva-35482DOI: 10.1007/s00158-017-1685-5ISI: 000409350400004Scopus ID: 2-s2.0-85017585896OAI: oai:DiVA.org:hj-35482DiVA, id: diva2:1094332
Tilgjengelig fra: 2017-05-09 Laget: 2017-05-09 Sist oppdatert: 2018-08-17bibliografisk kontrollert

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