关键词: 周期性的, 自适应成长法, 应变能最小, 加强筋布局设计

Abstract: Adaptive growth method was applied to topology optimum design for periodic stiffener structures, the minimum strain energy of the structures was taken as the target and the stiffener sectional areas were taken as the design variables, and the topology optimum design model was constructed. In order to ensure the optimize structures might obtain periodic optimal topological form, the periodic constraints were added to the optimization mathematical model and the sensitivity filter function was introduced to solve the problems of numerical instability. The typical engineering structure design examples show that the proposed method may be used to obtain clearly shaped layouts of the stiffener bars in the periodic stiffener structure design, moreover the design efficiency is high and the applicability is wide. Meanwhile, the proposed method was used to simulate the growth of lotus leaf veins, and the layout forms similar to that of natural lotus leaf veins were obtained, which show that the distributions of leaf veins in nature may make the lotus leaf have the maximum overall stiffness under natural loads such as rains and snows.

Key words: periodic, adaptive growth method, minimum strain energy, stiffener layout design