Int. J. Simul. Multisci. Des. Optim.
Volume 7, 2016
|Number of page(s)||13|
|Published online||26 February 2016|
Stiffness optimization of geometrically nonlinear structures and the level set based solution
The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, P.R. China
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Accepted: 8 January 2016
Load-normalized strain energy increments between consecutive load steps are aggregated through the Kreisselmeier-Steinhauser (KS) function, and the KS function is proposed as a stiffness criterion of geometrically nonlinear structures. A topology optimization problem is defined to minimize the KS function together with the perimeter of structure and a volume constraint. The finite element analysis is done by remeshing, and artificial weak material is not used. The topology optimization problem is solved by using the level set method. Several numerical examples in two dimensions are provided. Other criteria of stiffness, i.e., the end compliance and the complementary work, are compared.
Key words: Topology optimization / Geometrically nonlinear / Level set method / Stiffness / Kreisselmeier-Steinhauser function
© Q. Xia and T. Shi, Published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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