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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Form Finding & Optimization

Isogeometric analysis based on Bezier extraction of NURBS for topology optimization

< Table of Contents for Form Finding & Optimization
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Form Finding & Optimization
  • Pages: 10
  • Title: Isogeometric analysis based on Bezier extraction of NURBS for topology optimization
  • Author(s): Qui X Lieu, Thang T Pham, Jiho Kim, N-Il Kim, DongKyu Lee, Kihak Lee, Jaehong Lee
  • Keywords: topology optimization, SIMP, Isogeometric analysis (IGA), Bezier element, Bernstein basis functions
Abstract
This paper presents an effective approach using isogeometric analysis (IGA) based on Bezier extraction of non-uniform rational B-splines (NURBS) to perform topology optimization. By employing Bezier extraction operator, the localized NURBS basis functions constructed by the Bernstein basis functions are identical to all C0 continuous Bezier elements. It thus provides an element structure for implementation more easily than the conventional IGA and supplies capacity of local refinement to one. Density value at the center of each Bezier element is considered as design variable based on the modified Solid Isotropic Material with Penalization (SIMP) approach. The proposed sensitivity filter considering more neighboring element sensitivities of material volume shows its efficiency in eliminating the numerical instabilities in topology optimization. Moreover, optimized designs show highly discrete design variables in terms of solid and void materials without employing any project schemes. Numerical benchmark tests are presented to illustrate the effectiveness of the present method.

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