최대 유전영동력을 위한 전극의 형상 최적설계
Shape Design Optimization of Electrode for Maximal Dielectrophoresis Forces
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초록
A continuum-based design sensitivity analysis(DSA) method is developed for electrostatic problems. To consider high order objective functions, we use 9-node finite element basis functions for analysis and DSA methods. As the design variables are parameterized with B-spline functions, smooth boundary variations are naturally obtained. To solve mesh entanglement problems during the optimization process, a mesh regularization scheme is employed. By minimizing the Dirichlet energy functional, mesh uniformity can be automatically achieved. In numerical examples for maximizing dielectrophoresis forces, the numerical results are compared with well-known electrode geometries and the obtained characteristics are discussed.
Abstract
A continuum-based design sensitivity analysis(DSA) method is developed for electrostatic problems. To consider high order objective functions, we use 9-node finite element basis functions for analysis and DSA methods. As the design variables are parameterized with B-spline functions, smooth boundary variations are naturally obtained. To solve mesh entanglement problems during the optimization process, a mesh regularization scheme is employed. By minimizing the Dirichlet energy functional, mesh uniformity can be automatically achieved. In numerical examples for maximizing dielectrophoresis forces, the numerical results are compared with well-known electrode geometries and the obtained characteristics are discussed.
참고문헌 (7)
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- 이승욱, "민들린 평판의 아이소-지오메트릭 형상 설계민감도 해석", 한국전산구조공학회논문집, 26(4), pp.255~262 (2013), 한국전산구조공학회[DOI]
- Park, J, "An Efficient Cell Separation System using 3D-Asymmetric Microelectrodes", Lab on a Chip, 5(11), pp.1264~1270 (2005)
- Pohl, H.A, "Dielectrophoresis: The Behavior of Neutral Matter in Non-uniform Electric Fields" (1978), Cambridge University Press
- Yoon, G. H., "Topological Design of Electrode Shapes for Dielectrophoresis based Devices", J. Electrost, 68(6), pp.475~486 (2010)
