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石志良, 王伟, 高杰. 变形三周期极小曲面多孔结构参数化设计[J]. 计算机辅助设计与图形学学报, 2022, 34(6): 970-976. DOI: 10.3724/SP.J.1089.2022.19047
引用本文: 石志良, 王伟, 高杰. 变形三周期极小曲面多孔结构参数化设计[J]. 计算机辅助设计与图形学学报, 2022, 34(6): 970-976. DOI: 10.3724/SP.J.1089.2022.19047
Shi Zhiliang, Wang Wei, Gao Jie. Parametric Design of Porous Scaffold with Deformed Triply Periodic Minimal Surface[J]. Journal of Computer-Aided Design & Computer Graphics, 2022, 34(6): 970-976. DOI: 10.3724/SP.J.1089.2022.19047
Citation: Shi Zhiliang, Wang Wei, Gao Jie. Parametric Design of Porous Scaffold with Deformed Triply Periodic Minimal Surface[J]. Journal of Computer-Aided Design & Computer Graphics, 2022, 34(6): 970-976. DOI: 10.3724/SP.J.1089.2022.19047

变形三周期极小曲面多孔结构参数化设计

Parametric Design of Porous Scaffold with Deformed Triply Periodic Minimal Surface

  • 摘要: 规则三周期极小曲面(TPMS)常用于设计骨组织均质或梯度多孔结构,而变形三周期极小曲面的多孔结构,可改善其在一定方向上的力学性能.针对变形三周期极小曲面多孔结构的设计,提出一种基于变形三周期极小曲面多孔结构设计方法.通过改变TPMS三角函数参数表达式中的幅度因子,设计变形TPMS孔单元.探究幅度因子和阈值对孔隙形状和孔隙率的影响,建立孔隙参数与TPMS函数表达式参数之间的明确关系,提出变形TPMS多孔结构参数化设计方法.该方法采用Rhinoceros的Grasshopper插件实现,并设计输出不同孔隙率的多孔结构.结果表明,该方法可以控制多孔结构孔隙形状和孔隙率,设计误差满足允许范围,符合骨组织多孔结构设计要求.

     

    Abstract: The normal triply periodic minimal surface(TPMS)is often used to design homogeneous or graded porous bone tissue,but the porous structure based on deformed TPMS has good mechanical properties in certain space direction.For simplify design process,a porous structure design method based on deformed TPMS is proposed.Deformed TPMS unit cell is designed with changing the magnitude factor of the TPMS trigonometric function expression.Exploring the influence of magnitude factor and threshold on the porous structure shape and porosity,and establishing the relationship between the pore characteristic parameters and the mathematical parameters,a parametric design method for deformed TPMS porous structure is investigated.This method implemented in the Grasshopper plugin of Rhinoceros,the porous structures with different porosity are designed.The results indicate the method can control the pore shape and porosity of the porous structure,and the design error is within the allowable range and conforms to the bone tissue porous structure design requirements.

     

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