Comparison of different cellular structures for the design of selective laser melting parts through the application of a new lightweight parametric optimisation method

  • Rubén PazEmail author
  • Mario D. Monzón
  • Philippe Bertrand
  • Alexey Sova


Interest in lightweight geometries and cellular structures has increased due to the freeform capabilities of additive manufacturing technologies. In this paper, six different cellular structures were designed and parameterised with three design variables to carry out the lightweight optimisation of an initial solid sample. According to the limitations of conventional computer-aided design (CAD) software, a new parametric optimisation method was implemented and used to optimise these six types of structures. The best one in terms of optimisation time and stiffness was parameterised with nine design variables, changing the dimensions of the internal cellular structure and the reinforcement zones. These seven optimised geometries were manufactured in a Phenix ProX200 selective laser melting machine without using support. The samples obtained were tested under flexural load. The results show that the cubic cell structures have some advantages in terms of CAD definition, parameterisation and optimisation time because of their simpler geometry. However, from the flexural test results it can be concluded that this type of cell structure and those with horizontal bars experience a loss of stiffness compared to the estimates of the finite element analysis because of imperfections in the manufacturing process of hanging structures.

Key words

Parametric optimisation Cellular structures Selective laser melting (SLM) Finite element analysis Design of experiments Refinement 

通过新型轻量化参数优化方法比较激光选区熔化 部件设计的不同细胞结构



1. 提出一种在外型不变的部件内模拟不同细胞结 构的方法;2. 发展激光选区熔化(SLM)部件轻 量化参数设计的新方法;3. 利用这一方案实现优 化设计并比较不同细胞结构的质量。


1. 提出基于拉丁超立方实验设计、遗传算法、克 里金元模型和有限元方法的轻量化优化方案; 2. 该方法可通过较少的采样获得良好的结果并 能克服几何奇点(内部网格细化算法)的问题。


1. 进行内部细胞结构的生成和参数化;2. 根据输 入数据(设计变量和约束条件等)采用拉丁超立 方实验设计模拟所选样本;3. 利用先前的数据创 建克里金元模型并利用预测的元模型来计算遗 传算法演化过程中的适应函数;4. 将模拟实现的 优化结果添加到数据中更新元模型,并通过数次 重复迭代提高元模型的准确度直至误差小于 5%;5. 将这一概念应用于不同的几何结构,然后 通过SLM 加工制造优化后的几何结构,并在弯 曲载荷下进行测试。


1. 该优化算法通过适当的参数化克服了SLM 技 术的相关限制,可适用于SLM部件的优化;2. 立 方单元格在计算机辅助设计定义、参数化和时间 优化等方面有一些优势,但和有限元分析的估计 结果相比,其存在的缺乏坚实支撑的水平条(悬 挂结构)会造成机械性能损失;3. 将立方单元结 构与用户自定义的参数化增强相结合可以得到 更有效的设计结果(更高的比刚度),但更多的 设计变量也延长了所需要的优化时间。


参数优化 细胞结构 激光选区熔化 有限元分析 实验设计 精细化 

CLC number

TH164 TG665 


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Copyright information

© Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Universidad de Las Palmas de Gran CanariaDepartamento de Ingeniería MecánicaLas Palmas de Gran CanariaSpain
  2. 2.University of Lyon, ENISELTDS CNRS UMR 5513Saint-EtienneFrance

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