Optimal design of fibre reinforced membrane structures

被引：0
作者：
Anders Klarbring
Bo Torstenfelt
Peter Hansbo
Mats G. Larson
机构：
[1] Linköping University,Division of Solid Mechanics
[2] Jönköping University,Department of Mechanical Engineering
[3] Umeå University,Department of Mathematics and Mathematical Statistics
来源：
Structural and Multidisciplinary Optimization | 2017年 / 56卷
关键词：
Membrane; Fiber reinforcement; Design optimization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：781 / 789
页数：8
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