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响应面法与粒子群算法集成的激光熔覆工艺参数优化方法

胡言峰 杜彦斌 许磊 周志杰 舒林森

胡言峰, 杜彦斌, 许磊, 周志杰, 舒林森. 响应面法与粒子群算法集成的激光熔覆工艺参数优化方法[J]. 机械科学与技术, 2023, 42(4): 629-637. doi: 10.13433/j.cnki.1003-8728.20200645
引用本文: 胡言峰, 杜彦斌, 许磊, 周志杰, 舒林森. 响应面法与粒子群算法集成的激光熔覆工艺参数优化方法[J]. 机械科学与技术, 2023, 42(4): 629-637. doi: 10.13433/j.cnki.1003-8728.20200645
HU Yanfeng, DU Yanbin, XU Lei, ZHOU Zhijie, SHU Linsen. Optimization Method of Processing Parameters in Laser Cladding by Integrating Response Surface Methodology and Particle Swarm Optimization[J]. Mechanical Science and Technology for Aerospace Engineering, 2023, 42(4): 629-637. doi: 10.13433/j.cnki.1003-8728.20200645
Citation: HU Yanfeng, DU Yanbin, XU Lei, ZHOU Zhijie, SHU Linsen. Optimization Method of Processing Parameters in Laser Cladding by Integrating Response Surface Methodology and Particle Swarm Optimization[J]. Mechanical Science and Technology for Aerospace Engineering, 2023, 42(4): 629-637. doi: 10.13433/j.cnki.1003-8728.20200645

响应面法与粒子群算法集成的激光熔覆工艺参数优化方法

doi: 10.13433/j.cnki.1003-8728.20200645
基金项目: 

国家自然科学基金项目 51775071

重庆市自然科学基金联合基金重点项目 CSTB2022NSCQ-LZX0011

重庆市高校创新研究群体项目 CXQT21024

重庆英才计划"包干制项目" cstc2022ycjh-bgzxm0056

重庆英才计划 CQYC20210302226

详细信息
    作者简介:

    胡言峰(1997-), 硕士研究生, 研究方向为激光增材再制造, 2015111219@email.ctbu.edu.cn

    通讯作者:

    杜彦斌, 教授, 博士, duzi2009@163.com

  • 中图分类号: TP18;TG17

Optimization Method of Processing Parameters in Laser Cladding by Integrating Response Surface Methodology and Particle Swarm Optimization

  • 摘要: 为制备高质量的熔覆层, 保证再制造机械零部件再服役寿命, 提出了一种响应面法与粒子群算法集成的激光熔覆工艺参数优化方法。该方法以熔覆层质量为优化目标, 以工艺参数为优化变量, 基于实验结果构建工艺参数与熔覆层质量间的响应面近似数学模型, 使用粒子群算法对优化问题进行求解得到最优工艺参数组合。最后通过激光多道熔覆实验进行验证, 结果表明该方法优化后的工艺参数能够有效改善熔覆层质量, 进而节约实验成本、提高生产效率。
  • 图  1  激光多道熔覆层横截面示意图

    图  2  粒子更新过程

    图  3  基于粒子群算法的工艺参数优化求解流程图

    图  4  M2粉末的形貌

    图  5  实验设备

    图  6  表面平整度模型残差正态概率分布图

    图  7  表面平整度模型残差与预测值分布图

    图  8  表面平整度模型预测值与实际值分布图

    图  9  稀释率模型残差正态概率分布图

    图  10  稀释率模型残差与预测值分布图

    图  11  稀释率模型预测值与实际值分布图

    图  12  适应度曲线

    表  1  45钢与M2各元素的质量分数 %

    材料 Fe C Mn Si Cr V W Mo Ni Cu
    45钢 Bal 0.46 0.65 0.27 0.17 - - - 0.24 -
    M2 Bal 0.85 0.25 0.4 4.0 2.10 6.40 5.0 0.26 0.20
    下载: 导出CSV

    表  2  激光熔覆工艺参数与编码水平数

    工艺因素 水平(编码及真实值)
    -2 -1 0 +1 +2
    A/W 2 400 2 430 2 460 2 490 2 520
    B/(mm·s-1) 10 11 12 13 14
    C/(r·min-1) 1.7 1.8 1.9 2.0 2.1
    D/% 35 40 45 50 55
    下载: 导出CSV

    表  3  实验方案与实验结果

    序号 A B C D W/mm H/mm Sc/mm2 Sp/mm2 F D 实验结果
    1 0 -2 0 0 10.389 1.216 8.393 4.378 0.664 4 0.342 8
    2 -1 1 -1 1 9.455 1.140 7.748 2.888 0.719 1 0.271 5
    3 0 0 0 0 10.184 1.121 8.343 3.489 0.731 1 0.294 9
    4 -1 -1 1 1 9.793 0.306 2.234 2.771 0.746 5 0.553 7
    5 -1 -1 -1 -1 10.930 1.292 9.977 4.314 0.706 3 0.301 9
    6 -1 1 1 -1 10.746 1.006 7.870 3.799 0.728 0 0.325 5
    7 0 0 0 0 10.048 1.127 8.359 3.899 0.738 2 0.318 1
    8 1 -1 -1 -1 10.604 1.190 9.156 3.969 0.725 3 0.302 4
    9 0 0 0 -2 10.750 0.993 8.220 2.939 0.769 8 0.263 3
    10 -1 -1 -1 1 9.640 1.344 9.376 3.288 0.723 9 0.259 6
    11 0 0 -2 0 9.870 1.038 7.162 4.391 0.699 2 0.380 1
    12 2 0 0 0 10.196 0.376 3.038 3.654 0.793 3 0.546 0
    13 0 0 0 2 8.870 1.350 8.880 2.659 0.741 8 0.230 4
    14 1 1 1 -1 10.633 0.980 7.664 3.583 0.735 2 0.318 6
    15 -2 0 0 0 10.191 1.095 8.424 3.502 0.754 8 0.293 6
    16 -1 -1 1 -1 10.010 1.114 7.910 3.035 0.709 3 0.277 3
    17 -1 1 -1 -1 9.420 1.235 8.586 2.450 0.738 0 0.222 0
    18 1 1 -1 -1 10.163 1.407 10.556 2.839 0.738 2 0.211 9
    19 -1 1 1 1 10.048 1.121 7.741 3.693 0.687 4 0.323 0
    20 1 1 1 1 9.235 1.153 8.158 2.454 0.766 5 0.231 2
    21 0 0 0 0 10.017 1.318 9.606 2.358 0.727 8 0.197 1
    22 0 0 2 0 10.105 1.356 10.230 2.053 0.746 6 0.167 1
    23 0 2 0 0 9.991 0.993 7.674 3.127 0.773 3 0.289 5
    24 0 0 0 0 10.113 1.318 9.539 3.190 0.715 7 0.250 6
    25 0 0 0 0 10.300 1.388 9.807 3.216 0.686 0 0.246 9
    26 1 -1 1 -1 10.665 1.458 11.013 2.969 0.708 3 0.212 4
    27 1 -1 -1 1 9.838 1.566 10.668 3.476 0.692 4 0.245 8
    28 1 1 -1 1 9.558 1.114 7.859 2.653 0.738 0 0.252 4
    29 1 -1 1 1 9.807 1.446 10.402 2.725 0.733 4 0.207 6
    30 0 0 0 0 10.078 1.222 8.905 2.833 0.723 0 0.241 4
    下载: 导出CSV

    表  4  表面平整度模型方差分析结果

    方差来源 平方和 自由度 均方 F P
    模型 0.020 1 19 0.001 1 14.25 < 0.000 1 显著
    残差 0.000 7 10 0.000 1
    失拟项 0.000 4 5 0.000 1 0.918 0.536 2 不显著
    纯误差 0.000 4 5 0.000 1
    总和 0.020 8 29
    下载: 导出CSV

    表  5  稀释率模型方差分析结果

    方差来源 平方和 自由度 均方 F P
    模型 0.1859 15 0.0124 7.36 0.0003 显著
    残差 0.0236 14 0.0017
    失拟项 0.0118 9 0.0013 0.5589 0.7889 不显著
    纯误差 0.0118 5 0.0024
    总和 0.2094 29
    下载: 导出CSV

    表  6  粒子群算法的初始参数

    参数 c1 c2 ωmin ωmax D N S
    数值 2 2 0.2 1.2 40 500 4
    下载: 导出CSV
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  • 收稿日期:  2021-03-03
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