内部结构自支撑的三维打印浮体平衡优化算法  

Balancing Floating Bodies with Interior Support-Free Structure for 3D Fabrication

作　　者：王继东 赵瑞斌[2] 魏明强[3,4,5] Wang Jidong;Zhao Ruibin;Wei Mingqiang(School of Teacher Education,Huzhou University,Huzhou 313000;Department of Educational Technology,Nanjing Normal University,Nanjing 210097;School of Computer Science and Technology,Nanjing University of Aeronautics and Astronautics,Nanjing 210016;MIIT Key Laboratory of Pattern Analysis and Machine Intelligence,Nanjing 210016;State Key Laboratory for Novel Software Technology,Nanjing University,Nanjing 210023)

机构地区：[1]湖州师范学院教师教育学院,湖州313000 [2]南京师范大学教育技术系,南京210097 [3]南京航空航天大学计算机科学与技术学院,南京210016 [4]模式分析与机器智能工业和信息化部重点实验室,南京210016 [5]南京大学计算机软件新技术国家重点实验室,南京210023

出　　处：《计算机辅助设计与图形学学报》2020年第3期493-500,共8页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(61502137);中央高校基本科研业务费(NJ2019010);计算机软件新技术国家重点实验室开题课题(KFKT2018B20);浙江省哲学社会科学规划课题(20NDJC186YB);浙江省教育厅一般科研项目(Y201839474);湖州师范学院人文社科预研究项目(2019SKYY08).

摘　　要：为了使浮体能够在熔融挤压式三维打印机中一次成型,提出一种内部结构自支撑的浮体平衡优化算法.首先在给定漂浮姿势的输入模型内部,利用递归细分方法生成自支撑的格子结构,并把输入模型与格子结构组合为初始浮体模型.然后以初始浮体模型中格子单元体积为变量构建平衡优化方程,根据方程解算结果调整初始浮体模型中每个格子单元的体积,从而生成最终的浮体模型.实验结果表明,文中算法生成的浮体模型可以使用熔融挤压式三维打印机直接打印,打印的实体不但能够按照预设的姿势漂浮在液体中,而且具有较好的抗压能力;算法中的递归细分策略能够在模型内部产生较多的格子单元,具有节省打印材料的优势.In order to shape a floating body all at once by fused deposition modeling 3 D printer, an optimization algorithm to balance floating bodies with interior support-free structures was proposed. First, a recursive subdivision method is used to create the self-supporting lattice structure inside the input model on basics of its preset floating posture, and then the lattice structure and the input model are assembled to an initial floating body model. Next, for the initial model, a balance optimization equation with lattice cell volume as variables is constructed and solved. The resulting model is generated by changing the volume of each lattice cell in the initial model, based on the solution result of the optimization equation. Experimental results show that the resulting models generated by the algorithm can be printed directly by a fused deposition modeling 3 D printer. The printed objects can not only float in the liquid according to their predefined floating postures, but also have high pressure resistance. In addition, thanks to the recursive subdivision method, which takes advantages from the perspective of saving printing materials, more lattice cells are generated inside input models.

关 键 词：自支撑 结构优化 浮力平衡 三维打印 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]