ISSN 1000-1239 CN 11-1777/TP

计算机研究与发展 ›› 2015, Vol. 52 ›› Issue (1): 38-44.doi: 10.7544/issn1000-1239.2015.20140108

所属专题: 2015优青专题

• 系统结构 • 上一篇    下一篇

面向3D打印体积极小的拓扑优化技术

徐文鹏1,2,王伟明3,李航1,杨周旺1,刘秀平3,刘利刚1   

  1. 1(中国科学技术大学数学科学学院 合肥 230026); 2(河南理工大学计算机科学与技术学院 河南焦作 454100); 3(大连理工大学数学科学学院 辽宁大连 116023) (wpx@mail.ustc.edu.cn)
  • 出版日期: 2015-01-01
  • 基金资助: 
    基金项目:国家自然科学基金优秀青年基金项目(61222206)|中国科学院“百人”计划基金项目

Topology Optimization for Minimal Volume in 3D Printing

Xu Wenpeng1,2,Wang Weiming3,Li Hang1,Yang Zhouwang1,Liu Xiuping3,Liu Ligang1   

  1. 1(School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026); 2(School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, Henan 454100); 3(School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116023)
  • Online: 2015-01-01

摘要: 与传统制造所生产的产品相比,3D打印产品的成本仍相对较高.因此,如何能在不牺牲打印物体表面质量的前提下通过模型优化来减少打印材料消耗,对于降低打印成本至关重要.针对这一问题,借鉴传统渐进结构优化方法,结合Von Mises应力计算,给出一种面向3D打印体积极小的拓扑优化算法.该算法通过模型力学计算所得的最大Von Mises应力与材料允许应力之比来引导模型体积减小进化,直至最大Von Mises应力达到允许应力值为止.同时,引入多分辨率技术,由粗网格再到细网格进行优化计算,有效地提高了计算效率.与现有其他给定结构模式的方法相比,该优化结果能更好地体现模型荷载受力的传递路径.

关键词: 3D打印, 拓扑优化, 渐进结构优化, 多分辨率

Abstract: Compared with the traditional products manufacturing pattern, the cost of 3D printing products is still relatively high. It is important to optimize model to reduce print material consumption and printing costs without sacrificing print quality of the object surface. To solve this problem, we present a topology optimization algorithm for minimal volume in 3D printing with traditional evolutionary structural optimization methods combined with Von Mises stress. The algorithm calculates Von Mises stress of the model to guide the evolution of the volume reducing, until the maximum Von Mises stress reaches the allowable stress value of the material. Furthermore, we introduce multi-resolution technology to accelerate optimization computing from the coarse tetrahedral meshes to fine meshes, which effectively improves the computational efficiency. Compared with other existing methods, the optimization results of our method can be more flexible and better reflect the load transfer path of model under the given force.

Key words: 3D printing, topology optimization, evolutionary structural optimization, multi-resolution

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