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

Journal of the Operations Research Society of China 2021年第4期9卷 853-868页

作者： Zoya Duriagina Igor Lemishka Igor Litvinchev Jose Antonio Marmolejo Alexander Pankratov Tatiana Romanova Georgy Yaskov Lviv Polytechnic National University Lviv 79013Ukraine Katolicki Uniwersytet Lubelski Jana Pawła II Al.Racławickie 1420950 LublinPoland Graduate Program in Systems Engineering Nuevo Leon State University(UANL)MonterreyCP 66455 San Nicolas de los GarzaNuevo LeonMexico Engineering Department Panamerican UniversityCP 03920 Mexico CityMexico Department of Mathematical Modeling and Optimal Design Institute for Mechanical Engineering Problemsthe National Academy of Sciences of UkraineKharkiv 61046Ukraine Department of Systems Engineering of Kharkiv National University of Radio Electronics Kharkiv 61166Ukraine

In additive manufacturing(also known as 3D printing),a layer-by-layer buildup process is used for manufacturing *** laser 3D printers can work with various materials including metal *** particular,mixing various-sized spherical powders of titanium alloys is considered most promising for the aerospace *** achieve desired mechanical properties of the final product,it is necessary to maintain a certain proportional ratio between different powder *** 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 *** results are compared with experimental findings for titanium alloy spherical *** relative frequencies obtained by using the imposed algorithm are very close to those obtained by the *** 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

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Rectangular Body-centered Cuboid packing Lattices and Their Possible Applications

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Journal of Computer Science Research 2019年第2期1卷 1-7页

作者： Xiqiang Zheng Department of Science TechnologyHealth and Human ServicesVoorhees CollegeDenmarkSC 29042USA

We first introduce several sphere packing ways such as simple cubic packing(SC),face-centered cubic packing(FCC),body-centered cubic packing(BCC),and rectangular body-centered cuboid packing(recBCC),where the rectangular body-centered cuboid packing means the packing method based on a rectangular cuboid whose base is square and whose height is times the length of one side of its square base such that the congruent spheres are centered at the 8 vertices and the centroid of the *** corresponding lattices are denoted as SCL,FCCL,BCCL,and recBCCL,*** we consider properties of those lattices,and show that FCCL and recBCCL are the *** we point out some possible applications of the recBCC lattices.

关键词： sphere packing Lattices FCC lattices BCC lattices Discretization

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