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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mechanical Engineering, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, Korea

    Junyoung Hur & Sung-Kie Youn

  2. Center for Space Optics, Korea Research Institute of Standards and Science, 267 Gajeong-ro, Yuseong-gu, Daejeon, 34113, Korea

    Pilseong Kang

Authors
  1. Junyoung Hur
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  2. Pilseong Kang
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  3. Sung-Kie Youn
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Corresponding author

Correspondence to Sung-Kie Youn.

Additional information

Recommended by Associate Editor Gil Ho Yoon

Junyoung Hur received B.S. and M.S. degrees in Mechanical Engineering from KAIST, Korea. He is currently a Ph.D. candidate in Mechanical Engineering at KAIST, Korea. His research interest includes design optimization through spline basis functions.

Sung-Kie Youn is a Professor of Mechanical Engineering at KAIST, Korea. He received his Ph.D. in University of Texas at Austin. He joined KAIST in 1988. His research interest include computational mechanics and design optimization.

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Hur, J., Kang, P. & Youn, SK. Topology optimization based on spline-based meshfree method using topological derivatives. J Mech Sci Technol 31, 2423–2431 (2017). https://doi.org/10.1007/s12206-017-0440-6

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  • DOI: https://doi.org/10.1007/s12206-017-0440-6

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