Shape Optimization of Shell Surfaces Based on Linkage Framework betweenGeometric Modeling and Finite Element Analysis

유한요소해석과 기하학적 모델링의 연동에 기초한 쉘 곡면의 형상 최적 설계

In the present study, an integrated framework of geometric modeling, analysis, and design optimization is proposed. Geometric modeling is based on B-spline surface representation. Geometrically-exact shell finite element is implemented in analysis module. Control points of the surface are selected as design variables for optimization, which can make the interaction easier between analysis and surface representation. Sequential linear programming(SLP) is adopted for the shape optimization of surfaces. For the computation of shape sensitivities, semi-analytical method is used. The developed integrated framework should serve as a powerful tool for the geometric modeling, analysis, and shape design of surfaces.