力学学报 ›› 2007, Vol. 23 ›› Issue (6): 788-795.doi: 10.6052/0459-1879-2007-6-2006-518

• 研究论文 • 上一篇    下一篇

蜂窝夹芯圆环的拓扑优化设计及尺度效应研究

孙士平 张卫红 邱克鹏 郭中泽 Bassir Hicham   

  1. 南昌航空大学航空与机械工程学院 西北工业大学现代设计与集成制造技术教育部重点实验室,710072 西北工业大学现代设计与集成制造技术教育部重点实验室,710072 中国工程物理研究院 总体工程研究所 FEMTO-ST Dept. LMARC, UMR - CNRS 6174 25000, Besancon, France
  • 收稿日期:2006-10-23 修回日期:1900-01-01 出版日期:2007-11-18 发布日期:2007-11-18

Integrated topology optimization and scale effect analysis of cyclic symmetry sandwich structures

Shiping Sun Weihong Zhang Kepeng Qiu Zhongze Guo Bassir Hicham   

  • Received:2006-10-23 Revised:1900-01-01 Online:2007-11-18 Published:2007-11-18

摘要: 采用尺度关联的一体化设计方法开展了旋转周期圆环结构的拓扑优化设计研究,以宏观 结构的最大刚度为目标,研究了材料表征体胞尺度、构型以及不同载荷作用形式对蜂窝夹芯 圆环结构优化结果的影响. 所提出的无量纲结构构型因子实现了优化结构的结构效率量化评 估. 结合SIMP材料模型和周长控制方法,实现了宏观结构和细观表征体胞的优化设计,获得 清晰的材料分布. 数值算例表明,尺度关联的一体化设计方法能有效地完成圆环结构的拓扑 优化设计,设计结果充分反映体胞尺度效应对旋转周期圆环结构夹芯构型的影响.

关键词: 拓扑优化, 尺度效应, 结构构型因子, 旋转周期结构, 表征体胞

Abstract: A scale-related optimization method is proposed for the topology design of cyclic symmetry structures. Within the scope of maximizing the structural rigidity, influences of the scale and topology of representative volume element (RVE) as well as different loading cases upon the optimal configurations are studied. A dimensionless structure topology factor is proposed in this paper to quantify the optimized structure efficiency. By means of solid isotropic material with penalization (SIMP) model and perimeter control method, macro material layout and RVE are optimized. A contrast topology configuration is obtained without checkerboard. The results demonstrate that the scale-related topology optimization method is valid for optimal design of cyclic symmetry structure and that the scale effect of RVE can be well revealed in the optimal configuration of the structure.

Key words: topology optimization, scale effect, structure topology factor, cyclic symmetry structure, representative volume element