Optimized Filling of a Given Cuboid with Spherical Powders for Additive Manufacturing  

作　　者：Zoya Duriagina Igor Lemishka Igor Litvinchev Jose Antonio Marmolejo Alexander Pankratov Tatiana Romanova Georgy Yaskov 

机构地区：[1]Lviv Polytechnic National University,Lviv 79013,Ukraine [2]Katolicki Uniwersytet Lubelski Jana Pawła II,Al.Racławickie 14,20950 Lublin,Poland [3]Graduate Program in Systems Engineering,Nuevo Leon State University(UANL),Monterrey,CP 66455 San Nicolas de los Garza,Nuevo Leon,Mexico [4]Engineering Department,Panamerican University,CP 03920 Mexico City,Mexico [5]Department of Mathematical Modeling and Optimal Design,Institute for Mechanical Engineering Problems,the National Academy of Sciences of Ukraine,Kharkiv 61046,Ukraine [6]Department of Systems Engineering of Kharkiv National University of Radio Electronics,Kharkiv 61166,Ukraine

出　　处：《Journal of the Operations Research Society of China》2021年第4期853-868,共16页中国运筹学会会刊（英文）

摘　　要：In additive manufacturing(also known as 3D printing),a layer-by-layer buildup process is used for manufacturing parts.Modern laser 3D printers can work with various materials including metal powders.In particular,mixing various-sized spherical powders of titanium alloys is considered most promising for the aerospace industry.To achieve desired mechanical properties of the final product,it is necessary to maintain a certain proportional ratio between different powder fractions.In this paper,a modeling approach for filling up a rectangular 3D volume by unequal spheres in a layer-by-layer manner is proposed.A relative number of spheres of a given radius(relative frequency)are known and have to be fulfilled in the final packing.A fast heuristic has been developed to solve this special packing problem.Numerical results are compared with experimental findings for titanium alloy spherical powders.The relative frequencies obtained by using the imposed algorithm are very close to those obtained by the experiment.This provides an opportunity for using a cheap numerical modeling instead of expensive experimental study.

关 键 词：Sphere packing Heuristic algorithm Titanium alloy spherical powders 3D printing 

分 类 号：TG146.23[一般工业技术—材料科学与工程]