基于单元过滤的自支撑结构拓扑优化方法

王雷; 闫素娜; 赵强强; 洪军

doi:10.7652/xjtuxb202105006

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基于单元过滤的自支撑结构拓扑优化方法

更新时间：2025-07-09

- 基于单元过滤的自支撑结构拓扑优化方法
- A Topology Optimization Method for Self-supporting Structures Based on Element Filtering
- 西安交通大学学报 2021年55卷第5期页码：45-55
- 作者机构：
  
  1. 西安交通大学机械工程学院,西安,710049
  2. 西安交通大学现代设计及转子轴承系统教育部重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2021-01-06。作者简介: 王雷(1994—),男,硕士生;洪军(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金重点资助项目(51805419)
- DOI：10.7652/xjtuxb202105006
  中图分类号： TH122
- 网络首发：2021-05-10，
  
  纸质出版：2021
- 稿件说明：
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王雷, 闫素娜, 赵强强, 等. 基于单元过滤的自支撑结构拓扑优化方法[J]. 西安交通大学学报, 2021,55(5):45-55.

A Topology Optimization Method for Self-supporting Structures Based on Element Filtering[J]. 2021, 55(5): 45-55.
王雷, 闫素娜, 赵强强, 等. 基于单元过滤的自支撑结构拓扑优化方法[J]. 西安交通大学学报, 2021,55(5):45-55. DOI： 10.7652/xjtuxb202105006.

A Topology Optimization Method for Self-supporting Structures Based on Element Filtering[J]. 2021, 55(5): 45-55. DOI： 10.7652/xjtuxb202105006.

摘要

为了避免零部件在增材制造过程中使用支撑结构

基于单元过滤提出一种面向增材制造的自支撑结构拓扑优化方法。采用四节点矩形单元离散设计域建立悬垂特征有限元模型。模拟增材制造逐层堆积材料的成型过程

构建一种基于Heaviside函数的自支撑单元过滤法则

采用此法则逐层保留自支撑单元并删除非自支撑单元。基于固体各向同性材料惩罚模型(SIMP)变密度法

建立面向增材制造的自支撑结构拓扑优化模型

并采用移动渐近线法(MMA)求解此模型。将自支撑结构拓扑优化方法应用到三点弯曲简支梁(MBB)拓扑优化中。数值案例结果表明:与传统拓扑优化方法相比

自支撑结构拓扑优化方法能够在4个打印方向上对MBB梁进行优化设计

实现打印过程自支撑

并节省打印材料最多达20.6%

缩短打印时间最多达16.6%

解决了传统拓扑优化结构在增材制造过程中需要使用支撑的问题。

Abstract

To avoid the use of support structures in the additive manufacturing process of components

this paper proposes an additive manufacturing oriented topology optimization method for self-supporting structures based on element filtering. By using 4-node rectangular element to discretize the design domain

a finite element model of overhang is established. A filtering rule of the self-supporting element based on Heaviside function is constructed by simulating the layer-by-layer forming process of additive manufacturing. The self-supporting elements are retained

and the non-self-supporting elements are deleted by this rule layer-by-layer. Based on the solid isotropic material with penalization(SIMP)model

the additive manufacturing oriented self-supporting structure topology optimization model is formulated

and the method of moving asymptotes is used to solve this optimization problem. The topology optimization method of self-supporting structures is applied to the topology optimization for the Messerschmidt-Bölkow-Blohm(MBB)beam. The results of case studies show that compared with the traditional topology optimization method

this method can achieve optimal design of self-supporting structure for the MBB beams along four printing directions

and moreover

the material and printing time can be saved up to 20.6% and 16.6% at most

respectively. It can solve the problem that traditional topology optimization structures need supports in additive manufacturing process.

关键词

Keywords

references

卢秉恒, 李涤尘. 增材制造(3D打印)技术发展 [J]. 机械制造与自动化, 2013, 42(4): 1-4.

LU Bingheng, LI Dichen. Additive manufacturing(3D printing)technology development [J]. Machinery Manufacturing and Automation, 2013, 42(4): 1-4.

刘书田, 李取浩, 陈文炯, 等. 拓扑优化与增材制造结合: 一种设计与制造一体化方法 [J]. 航空制造技术, 2017, 60(10): 26-31.

LIU Shutian, LI Quhao, CHEN Wenjiong, et al. The combination of topology optimization and additive manufacturing: an integrated method of design and manufacturing [J]. Aviation Manufacturing Technology, 2017, 60(10): 26-31.

朱继宏, 周涵, 王创, 等. 面向增材制造的拓扑优化技术发展现状与未来 [J]. 航空制造技术, 2020, 63(10): 24-38.

ZHU Jihong, ZHOU Han, WANG Chuang, et al. Development status and future of topology optimization technology for additive manufacturing [J]. Aviation Manufacturing Technology, 2020, 63(10): 24-38.

DAS P, CHANDRAN R, SAMANT R, et al. Optimum part build orientation in additive manufacturing for minimizing part errors and support structures [J]. Procedia Manufacturing, 2015, 1: 343-354.

MORGAN H D, CHERRY J A, JONNALAGADDA S, et al. Part orientation optimization for the additive layer manufacture of metal components [J]. The International Journal of Advanced Manufacturing Technology, 2016, 86(5/6/7/8): 1679-1687.

STRANO G, HAO L, EVERSON R M, et al. A new approach to the design and optimization of support structures in additive manufacturing [J]. The International Journal of Advanced Manufacturing Technology, 2013, 66(9/10/11/12): 1247-1254.

LEARY M, MERLI L, TORTI F, et al. Optimal topology for additive manufacture: a method for enabling additive manufacture of support-free optimal structures [J]. Materials and Design, 2014, 63: 678-690.

LI Z, ZHANG D Z, DONG P, et al. A lightweight and support-free design method for selective laser melting [J]. The International Journal of Advanced Manufacturing Technology, 2016, 90(9/10/11/12): 2943-2953.

桂馨. 考虑悬挑角度和最小尺寸约束的自支撑结构拓扑优化 [D]. 武汉: 华中科技大学, 2018: 41-55.

GARAIGORDOBIL A, ANSOLA R, SANTAMARIA J, et al. A new overhang constraint for topology optimization of self-supporting structures in additive manufacturing [J]. Structural and Multidisciplinary Optimization, 2018, 58(5): 2003-2017.

QIAN Xiaoping. Undercut and overhang angle control in topology optimization: a density gradient based integral approach [J]. International Journal for Numerical Methods in Engineering, 2017, 111(3): 247-272.

ZHANG K, CHENG G, XU L. Topology optimization considering overhang constraint in additive manufacturing [J]. Computers and Structures, 2019, 212: 86-100.

ZHAO D, LI M, LIU Y. A novel application framework for self-supporting topology optimization [J/OL]. The Visual Computer [2021-01-04]. https:∥link.springer.com/article/10.1007%2Fs00371-020-01 860-2#citeas.

KUO Y H, CHENG C C. Self-supporting structure design for additive manufacturing by using a logistic aggregate function [J]. Structural and Multidisciplinary Optimization, 2019, 60(3): 1109-1121.

邹君, 姚卫星, 张悦超, 等. 基于渐进演化策略的增材制造自支撑结构拓扑优化算法 [J/OL]. 计算力学学报[2021-01-04]. https:∥kns.cnki.net/kcms/detail/detail.aspx?FileName=JSJG2020121800XDb Name=CAPJ2020.

ZOU Jun, YAO Weixing, ZHANG Yuechao, et al. Topology optimization algorithm of additive manufacturing self-supporting structure based on progressive evolution strategy [J/OL]. Chinese Journal of Computational Mechanics [2021-02-04]. https:∥kns.cnki. net/kcms/detail/detail.aspx?FileName=JSJG202012 1800XDbName=CAPJ2020.

GAYNOR A T, GUEST J K. Topology optimization considering overhang constraints: eliminating sacrificial support material in additive manufacturing through design [J]. Structural and Multidisciplinary Optimization, 2016, 54(5): 1157-1172.

LANGELAAR M. An additive manufacturing filter for topology optimization of print-ready designs [J]. Structural and Multidisciplinary Optimization, 2016, 55(3): 871-883.

LANGELAAR M. Combined optimization of part topology, support structure layout and build orientation for additive manufacturing [J]. Structural and Multidisciplinary Optimization, 2018, 57(5): 1985-2004.

PELLENS J, LOMBAERT G, LAZAROY B S, et al. Combined length scale and overhang angle control in minimum compliance topology optimization for additive manufacturing [J]. Structural and Multidisciplinary Optimization, 2019, 59(6): 2005-2022.

WANG X, ZHANG C, LIU T. A topology optimization algorithm based on the overhang sensitivity analysis for additive manufacturing [J]. Proceedings of the IOP Conference Series Materials Science and Engineering, 2018, 382(3): 032036.

杜义贤, 徐明, 周鹏, 等. 适应增材制造构件倾角约束的拓扑优化方法 [J]. 机械设计与制造, 2020(11): 191-194.

DU Yixian, XU Ming, ZHOU Peng, et al. Topology optimization method to adapt to the inclination angle constraints of additive manufacturing components [J]. Machinery Design and Manufacturing, 2020(11): 191-194.

ZOU Jun, ZHANG Yuechao, FENG Zhenyu. Topology optimization for additive manufacturing with self-supporting constraint [J/OL]. Structural and Multidisciplinary Optimization [2021-01-04]. https:∥link. springer.com/article/10.1007/s00158-020-028 15-w.

LUO Y, SIGMUND O, LI Q, et al. Additive manufacturing oriented topology optimization of structures with self-supported enclosed voids [J]. Computer Methods in Applied Mechanics and Engineering, 2020, 372: 113385.

GUO Xu, ZHOU Jianhua, ZHANG Weisheng, et al. Self-supporting structure design in additive manufacturing through explicit topology optimization [J]. Computer Methods in Applied Mechanics and Engineering, 2017, 323: 27-63.

EMIEL V D V, MAAS R, AVAS C, et al. Continuous front propagation-based overhang control for topology optimization with additive manufacturing [J]. Structural and Multidisciplinary Optimization, 2018, 57(5): 2075-2091.

王亚光, 高进城, 亢战. 考虑增材制造中悬空角约束的水平集拓扑优化设计 [C]∥2018年全国固体力学学术会议摘要集: 上. 北京: 中国力学学会, 2018: 581.

韩永生, 徐斌, 赵磊. 面向增材制造考虑自支撑约束的连续体结构拓扑优化方法研究 [C]∥2018年全国固体力学学术会议摘要集: 下. 北京: 中国力学学会, 2018: 328.

THOMAS D. The development of design rules for selective laser melting [D]. Wales, UK: University of Wales, 2009: 87-88.

ANDREASSEN E, CLAUSEN A, SCHEVENELS M, et al. Efficient topology optimization in MATLAB using 88 lines of code [J]. Structural and Multidisciplinary Optimization, 2011, 43(1): 1-16.

SVANBERG K. The method of moving asymptotes: a new method for structural optimization [J]. International Journal for Numerical Method Engineering, 1987, 24(2): 359-373.

SIGMUND O. A 99 line topology optimization code written in Matlab [J]. Structural and Multidisciplinary Optimization, 2001, 21(2): 120-127.

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