关键词: 等几何拓扑优化, 非齐次边界条件, 边界配点法, 自适应罚函数法

Abstract: The lack of interpolation property of non-uniform rational B-splines(NURBS) basis functions led to the failure of imposing non-homogeneous boundary conditions directly at control points by isogeometric topology optimization method. Therefore, two types of non-homogeneous boundary condition imposing methods were introduced to isogeometric analysis herein, which improved the accuracy of imposing boundary conditions through two perspectives, namely strong imposition method and weak imposition method. Then, the numerical results verify the feasibility of the above methods in applying non-homogeneous boundary condition for isogeometric analysis. Finally, the above methods were embedded into isogeometric topology optimization, and an innovative non-homogeneous boundary condition imposing method was proposed with adaptive penalty factor, which improves the solution accuracy of isogeometric topology optimization, and further demonstrates the effectiveness of the proposed method.

Key words:  , isogeometric topology optimization, non-homogeneous boundary condition, boundary collocation method, adaptive penalty function method