摘要
随着增材制造技术的快速发展,基于三周期极小曲面(triply periodic minimal surface,TPMS)的点阵结构因具有轻质高强度、连通性好、拓扑结构可控等优点,在结构轻量化设计、生物植入物中得到广泛应用。但TPMS点阵结构的建模存在过程繁琐、易出错、计算时间长等问题,如何高效、稳定地建模出具有复杂轮廓的TPMS点阵结构成为亟待解决的问题。笔者基于TPMS和体素距离场提出了一种复杂轮廓TPMS点阵结构的建模方法。通过移动立方体法构建TPMS单元三角面片模型;基于点与几何模型的拓扑位置关系,将空间中的点体素化,并提取模型轮廓边界的点。通过计算边界点的距离场,并与TPMS的距离场进行布尔运算,实现复杂轮廓TPMS点阵结构的建模。实例验证表明,该方法能够高效、稳定地建模复杂轮廓TPMS点阵结构。
With the rapid development of additive manufacturing technology,the lattice structure based on triply periodic minimal surface(TPMS)has been widely used in structural lightweight design and biological implants because of its advantages,such as light weight,high strength,good connectivity,and controllable topology.However,there are some problems in the modeling of TPMS lattice,such as tedious process,error-prone,and long calculation time.How to model a TPMS lattice structure with complex contours efficiently and stably has become an urgent problem to be solved.Therefore,based on TPMS and voxel distance field,a modeling method of complex contour TPMS lattice is proposed in this paper.The triangular patch model of TPMS unit is modeled by the marching cube method.Based on the topological position relationship between the points and the geometric model,the points in the space are voxelized,and the points on the contour boundary of the model are extracted.By calculating the distance field of the boundary points and doing Boolean operation with the distance field of TPMS,the modeling of a complex contour TPMS lattice structure is realized.The verification of an example shows that the method proposed in this paper can model the complex contour TPMS lattice structure efficiently and stably.
作者
余学伟
李琳慧
张涛
张正文
YU Xuewei;LI Linhui;ZHANG Tao;ZHANG Zhengwen(School of Mechanical Engineering,Chongqing University,Chongqing 400044,P.R.China)
出处
《重庆大学学报》
CSCD
北大核心
2022年第6期75-84,共10页
Journal of Chongqing University
基金
重庆市自然科学基金重点项目资助(cstc2020jcyj-zdxmX0021)。
关键词
增材制造
点阵结构
体素化
符号距离场
三周期极小曲面
additive manufacture
lattice
voxelization
sign distance field
triply periodic minimal surface
