Topology optimization based on spline-based meshfree method using topological derivatives

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Spline-based meshfree method (SBMFM) is originated from the Isogeometric analysis (IGA) which integrates design and analysis through Non-uniform rational B-spline (NURBS) basis functions. SBMFM utilizes trimming technique of CAD system by representing the domain using NURBS curves. In this work, an explicit boundary topology optimization using SBMFM is presented with an effective boundary update scheme. There have been similar works in this subject. However unlike the previous works where semi-analytic method for calculating design sensitivities is employed, the design update is done by using topological derivatives. In this research, the topological derivative is used to derive the sensitivity of boundary curves and for the creation of new holes. Based on the values of topological derivatives, the shape of boundary curves is updated. Also, the topological change is achieved by insertion and removal of the inner holes. The presented approach is validated through several compliance minimization problems.
Publisher
KOREAN SOC MECHANICAL ENGINEERS
Issue Date
2017-05
Language
English
Article Type
Article
Keywords

SHAPE DESIGN OPTIMIZATION; SURFACES; SENSITIVITY

Citation

JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, v.31, no.5, pp.2423 - 2431

ISSN
1738-494X
DOI
10.1007/s12206-017-0440-6
URI
http://hdl.handle.net/10203/224064
Appears in Collection
ME-Journal Papers(저널논문)
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