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邢昊, 敬石开, 张贺, 赵芳垒, 李鹏健. 拓扑优化密度映射的非均匀蜂窝结构设计方法[J]. 计算机辅助设计与图形学学报, 2017, 29(4): 734-741.
引用本文: 邢昊, 敬石开, 张贺, 赵芳垒, 李鹏健. 拓扑优化密度映射的非均匀蜂窝结构设计方法[J]. 计算机辅助设计与图形学学报, 2017, 29(4): 734-741.
Xing Hao, Jing Shikai, Zhang He, Zhao Fanglei, Li Pengjian. A Non-Uniform Honeycomb Design Method Based on Topology Optimization Density Mapping[J]. Journal of Computer-Aided Design & Computer Graphics, 2017, 29(4): 734-741.
Citation: Xing Hao, Jing Shikai, Zhang He, Zhao Fanglei, Li Pengjian. A Non-Uniform Honeycomb Design Method Based on Topology Optimization Density Mapping[J]. Journal of Computer-Aided Design & Computer Graphics, 2017, 29(4): 734-741.

拓扑优化密度映射的非均匀蜂窝结构设计方法

A Non-Uniform Honeycomb Design Method Based on Topology Optimization Density Mapping

  • 摘要: 针对二维蜂窝结构在共面方向集中载荷作用下承载性能的不足,提出一种基于拓扑优化密度映射的非均匀蜂窝结构设计方法.该方法将拓扑微单元的密度信息映射到蜂窝胞元的壁厚上,并采用响应面与协同优化方法对蜂窝胞元尺寸参数和密度映射权重参数进行优化,获得胞元壁厚非均匀的蜂窝结构.最后通过三维打印制造非均匀蜂窝试件,与等体积均匀蜂窝进行三点弯曲实验对比,证明文中方法所设计的结构能够提高蜂窝结构的局部强度.

     

    Abstract: Aiming at the problem that honeycomb structure is fragile under concentrated load in the in-plane direction, a design method of non-uniform honeycomb structures is proposed using topology optimization density mapping. The method mapped the density information from topology optimization results to the wall thickness of honeycomb cells. Then a honeycomb structure with non-uniform wall thickness is obtained through optimizing the honeycomb cell size and density mapping parameters with response surface method and collaborative optimization strategy. A test-piece of thenon-uniform honeycomb is fabricated by 3D printing technology and tested under three-point bending, compared with an equivoluminal uniform honeycomb. It is validated that the proposed method could generate a non-uniform honeycomb structure with higher local load-bearing capacity.

     

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