基于 Nelder-Mead 算法的 3D 打印模型最优化放置-《计算机技术与发展》

文章信息/Info

Title:: Orientation Optimization of 3D Printed Model Based on Nelder-Mead Algorithm

作者:: 秦爽¹; 黄先锋¹; 张帆¹; 陈伟 ²; 向东清²; 1. 武汉大学测绘遥感信息工程国家重点实验室,湖北武汉 430079; 2. 珠海赛纳打印科技股份有限公司,广东珠海 519060

Author(s):: QIN Shuang¹; HUANG Xian-feng¹; ZHANG Fan¹; CHEN Wei²; XIANG Dong-qing²; 1. State Key Laboratory of Information Engineering in Surveying,Mapping and Remote Sensing,Wuhan University,Wuhan 430079,China; 2. Zhuhai Seine Technology Co. ,Ltd. ,Zhuhai 519060,China

Keywords:: 3D printing; Nelder-Mead algorithm; supporting volume; printing time; intelligent optimization

摘要:: 针对 3D 打印材料费用昂贵、打印成本高的问题,在保证打印模型的稳定性和表面质量的前提下提出了一种优化算法。该算法首先通过计算打印模型在任意摆放角度下的模型体积和模型顶面投影体积来计算出模型支撑耗材体积,然后利用提出的模型打印时间算法计算出任意摆放角度下的打印时间,最后构造出打印模型在任意摆放角度下的支撑结构耗材体积和打印时间的目标函数。利用经典的 Nelder-Mead 算法,计算出使目标函数最低的摆放角度,即打印模型绕 X轴、 Y 轴和 Z 轴所旋转的最优角度,从而实现了对打印模型的最优化放置。实验结果表明,该算法在保证模型表面质量和稳定性的前提下,减少了打印支撑耗材体积,缩短了打印时间,具有明显的成本优势。

Abstract:: Aiming at the problem of expensive 3D printing materials and high printing cost,we propose an optimization algorithm on the premise of ensuring the stability and surface quality of the printing model. Firstly,we calculate the supporting materials volume by calculating the volume of the model and the projection volume of the top surface of the model at any angle,and then calculate the printing time at any angle by the model printing time algorithm proposed. Finally,we construct the objective function of the supporting materials volume and the printing time at any orientation. Using the classic Nelder-Mead algorithm,the optimal placement angle of the print model is calculated to minimize the objective function,that is,the optimal angle of rotation of the print model around the axis X , Y and Z ,thus achieving the optimal placement of the print model. Experiment shows that the proposed algorithm can reduce the supporting material volume and shorten the printing time while ensuring the model’s surface quality and stability with obvious advantages in the cost.