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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.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization. Jönköping University, School of Engineering, JTH, Product Development.ORCID iD: 0000-0001-7352-1550
Department of Mathematics and Mathematical Statistics, Umeå University, Umeå, Sweden.
2017 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, 1-9 p.Article in journal (Refereed) Epub ahead of print
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. 1-9 p.
Keyword [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
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-35482DOI: 10.1007/s00158-017-1685-5ScopusID: 2-s2.0-85017585896OAI: oai:DiVA.org:hj-35482DiVA: diva2:1094332
Available from: 2017-05-09 Created: 2017-05-09 Last updated: 2017-05-09

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