Proceedings of the Computational Structural Engineering Institute Conference (한국전산구조공학회:학술대회논문집)
- 2008.04a
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- Pages.391-396
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- 2008
Level Set based Shape Optimization using Extended B-spline Bases
확장 B-spline 기저 함수를 이용한 레벨셋 기반의 형상 최적 설계
Abstract
A level set based topological shape optimization using extended B-spline basis functions is developed for steady state heat conduction problems. The only inside of complicated domain is identified by the level set functions and taken into account in computation. The solution of Hamilton-Jacobi equation leads to an optimal shape according to the normal velocity field determined from the sensitivity analysis, minimizing a thermal compliance while satisfying a volume constraint. To obtain exact shape sensitivity, the precise normal and curvature of geometry need to be determined using the level set and B-spline basis functions. The nucleation of holes is possible whenever and wherever necessary during the optimization using a topological derivative concept.
Keywords
- Level set method;
- Topological shape optimization;
- Extended B-spline;
- Adjoint shape sensitivity;
- Topological derivative