• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (7): 135-146.doi: 10.3901/JME.2019.07.135

• 数字化设计与制造 • 上一篇    下一篇

选区激光烧结过程传热分析的高效无网格法

陈嵩涛1,2, 段庆林1,2, 王依宁1,2, 李书卉1,2, 李锡夔1,2   

  1. 1. 大连理工大学工业装备结构分析国家重点实验室 大连 116024;
    2. 大连理工大学工程力学系 大连 116024
  • 收稿日期:2018-04-18 修回日期:2018-10-06 出版日期:2019-04-05 发布日期:2019-04-05
  • 通讯作者: 段庆林(通信作者),男,1979年出生,博士,副教授,博士研究生导师。主要研究方向为工程问题的数值方法。E-mail:qinlinduan@dlut.edu.cn
  • 作者简介:陈嵩涛,男,1992年出生,博士研究生。主要研究方向为增材制造过程的高效数值方法。E-mail:chensongtao1221@163.com
  • 基金资助:
    科学挑战专题(TZ2018002,JCKY2016212A502)、中央高校基本科研业务费专项资金(DUT17LK18)、国家自然科学基金(11232003,11372066)、水资源与水电工程科学国家重点实验室开放基金(2015SGG03)和地质灾害防治与地质环境保护国家重点实验室开放基金(SKLGP2016K007)资助项目。

Efficient Meshfree Method for Heat Conduction in Selective Laser Sintering Process

CHEN Songtao1,2, DUAN Qinglin1,2, WANG Yining1,2, LI Shuhui1,2, LI Xikui1,2   

  1. 1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024;
    2. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024
  • Received:2018-04-18 Revised:2018-10-06 Online:2019-04-05 Published:2019-04-05

摘要: 增材制造是通过材料逐层堆积来实现构件无模成形的新型制造技术,近年来受到人们的广泛关注。基于无单元伽辽金法(无网格法)提出了一种可高效模拟以粉末床为主要技术特征的选区激光烧结增材制造过程的数值模拟技术。相应于材料逐层增加过程,逐层引入计算节点和背景积分单元。充分利用无单元法建立近似函数仅依赖于节点而非网格单元的优点,对远离当前加工层的区域自适应地进行“网格”粗化以减小计算规模。为进一步提高计算效率,引入稳定相容节点积分技术,大幅度减少了积分点数目。数值结果表明,所发展方法能够有效模拟选区激光烧结增材制造的热传导过程,再现温度场的演化历程。与使用通用有限元软件的模拟方法以及使用高斯积分的标准无网格法相比,该方法大幅度缩短了计算时间,显著提高了选区激光烧结过程传热分析的计算效率。

关键词: 时变热源, 丝杠, 温度, 关键词:旋风铣削, 节点积分, 热传导, 无网格/无单元, 选区激光烧结, 增材制造

Abstract: Additive manufacturing is an advanced model-free manufacturing technology by means of the layered deposition of materials and in recent years it attracts intensive attentions. Based on the element-free Galerkin method (meshfree method), a numerical technique to efficiently simulate the selective laser sintering additive manufacturing process, in which powder-bed is the main technical characteristic, is presented. Corresponding to the process of laying powder layer by layer, the computational nodes and background integration cells are introduced layer by layer. "Mesh" coarsening is adaptively employed in regions far from current manufacturing layer to reduce the scale of the computation, by making full use of the merit of the element-free method in which the construction of approximation functions only depends on nodes instead of elements of the mesh. In order to further improving the computational efficiency, the stabilized conforming nodal integration technology is introduced and the number of integration points is substantially reduced. Numerical results show that the developed method is able to effectively simulate the heat conduction in selective laser sintering additive manufacturing process and to reproduce the evolution of the thermal field. In comparison with the simulation method using general finite element analysis software and the standard meshfree method using Gauss integration, the proposed method substantially reduces the computational time and significantly improves the computational efficiency of the numerical analysis of the heat conduction in selective laser sintering process.

Key words: Screw, Temperature, Time-varying heat source, Key words: Whirlwind milling, additive manufacturing, heat conduction, meshfree/element-free, nodal integration, selective laser sintering

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