循环对称结构的多尺度拓扑优化方法

Multiscale topology optimization of cyclic symmetry structures is studied in this paper. Basic characteristics are revealed for the homogenized properties of cyclic-symmetry unit cells. The concept of feature parameters is proposed correspondingly to characterize the unit cells. A three-parameter interpolation model is developed for the homogenized properties so that the homogenization process is greatly simplified. By means of feature-driven microstructure modelling and B-spline parameterization, the number of design variables is reduced and the non-smoothness due to discretization is overcome. Numerical examples are solved to show the effectiveness of the developed method. Results demonstrate the influences of equidistant arrangement and equal proportion arrangement of unit cells on the optimization results.