A greedy algorithm for optimal heating in powder-bed-based additive manufacturing

Journal of Mathematics in Industry

Anders Snis¹  Robert Forslund²  Stig Larsson³ 

[1] Arcam EBM, Designvägen 2, SE–435 33, Mölnlycke, Sweden;Arcam EBM, Designvägen 2, SE–435 33, Mölnlycke, Sweden;Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE–412 96, Gothenburg, Sweden;Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE–412 96, Gothenburg, Sweden;

关键词: Additive manufacturing;    Powder bed fusion;    Process control;    Greedy optimization;   

DOI  :  10.1186/s13362-021-00110-x

来源: Springer

【 摘 要 】

Powder-bed-based additive manufacturing involves melting of a powder bed using a moving laser or electron beam as a heat source. In this paper, we formulate an optimization scheme that aims to control this type of melting. The goal consists of tracking maximum temperatures on lines that run along the beam path. Time-dependent beam parameters (more specifically, beam power, spot size, and speed) act as control functions. The scheme is greedy in the sense that it exploits local properties of the melt pool in order to divide a large optimization problem into several small ones. As illustrated by numerical examples, the scheme can resolve heat conduction issues such as concentrated heat accumulation at turning points and non-uniform melt depths.

【 授权许可】

CC BY