Optimization Method of Processing Parameters in Laser Cladding by Integrating Response Surface Methodology and Particle Swarm Optimization
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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。Abstract: In order to prepare high-quality cladding layers and ensure the re-service life of remanufactured mechanical parts, a processing parameters optimization method in laser cladding by integrating response surface methodology and particle swarm optimization is proposed. The method takes the quality of the cladding layer as the optimization goal, and takes the processing parameters as the optimization variables, and the response surface approximate model between the process parameters and the quality of cladding layer according to the experimental results is built, and the particle swarm algorithm is used to obtain the optimal processing parameters combination. Finally, it was verified with the laser multi-pass cladding experiments. The results show that the optimized processing parameters of this method can effectively improve the quality of the cladding layer, thereby saving experimental costs and improving production efficiency.
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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 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 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 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值 P值 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 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值 P值 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 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 -
[1] KATTIRE P, PAUL S, SINGH R, et al. Experimental characterization of laser cladding of CPM 9V on H13 tool steel for die repair applications[J]. Journal of Manufacturing Processes, 2015, 20: 492-499. doi: 10.1016/j.jmapro.2015.06.018 [2] 徐国建, 李春光, 郭云强, 等. 激光熔覆Stellite-6+VC混合粉末的熔覆层组织[J]. 焊接学报, 2017, 38(6): 73-78.XU G J, LI C G, GUO Y Q, et al. Organization of clad layer using mixed powder of Stellite 6 and VC[J]. Transactions of the China Welding Institution, 2017, 38(6): 73-78. (in Chinese) [3] 邢如飞, 许星元, 黄双君, 等. 激光沉积修复TA15钛合金微观组织及力学性能[J]. 材料工程, 2018, 46(12): 144-150. doi: 10.11868/j.issn.1001-4381.2016.000406XING R F, XU X Y, HUANG S J, et al. Microstructure and mechanical properties of laser deposition repaired TA15 titanium alloy[J]. Journal of Materials Engineering, 2018, 46(12): 144-150. (in Chinese) doi: 10.11868/j.issn.1001-4381.2016.000406 [4] KAIERLE S, OVERMEYER L, ALFRED I, et al. Single-crystal turbine blade tip repair by laser cladding and remelting[J]. CIRP Journal of Manufacturing Science and Technology, 2017, 19: 196-99. doi: 10.1016/j.cirpj.2017.04.001 [5] 刘立君, 刘大宇, 王晓陆, 等. H13钢激光熔覆陶瓷修复层的参数优化[J]. 焊接学报, 2020, 41(7): 65-70.LIU L J, LIU D Y, WANG X L, et al. Parameter optimization of laser cladding ceramic repair layer of H13 steel[J]. Transactions of the China Welding Institution, 2020, 41(7): 65-70. (in Chinese) [6] CHEN T, WU W N, LI W P, et al. Laser cladding of nanoparticle TiC ceramic powder: Effects of process parameters on the quality characteristics of the coatings and its prediction model[J]. Optics & Laser Technology, 2019, 116: 345-355. [7] ZHANG Z, KOVACEVIC R. Multiresponse optimization of laser cladding steel+VC using grey relational analysis in the Taguchi method[J]. JOM, 2016, 68(7): 1762-1773. doi: 10.1007/s11837-016-1942-x [8] MARZBAN J, GHASEMINEJAD P, AHMADZADEH M H, et al. Experimental investigation and statistical optimization of laser surface cladding parameters[J]. The International Journal of Advanced Manufacturing Technology, 2015, 76(5-8): 1163-1172. doi: 10.1007/s00170-014-6338-x [9] 蒋三生, 梁立帅, 舒凤远. 45钢表面激光熔覆Co基合金覆层工艺优化[J]. 材料导报, 2020, 34(S1): 448-451. https://www.cnki.com.cn/Article/CJFDTOTAL-CLDB2020S1099.htmJIANG S S, LIANG L S, SHU F Y. Process optimization of laser cladding Co-based alloy cladding layer on 45 steel surface[J]. Materials Reports, 2020, 34(S1): 448-451. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CLDB2020S1099.htm [10] 温海骏, 孟小玲, 许向川, 等. 基于神经网络和遗传算法的激光熔覆工艺参数多目标优化[J]. 应用激光, 2019, 39(5): 734-740. https://www.cnki.com.cn/Article/CJFDTOTAL-YYJG201905003.htmWEN H J, MENG X L, XU X C, et al. Multi-objective optimization of laser cladding process parameters based on neural network and genetic algorithm[J]. Applied Laser, 2019, 39(5): 734-740. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YYJG201905003.htm [11] 庞祎帆, 傅戈雁, 王明雨, 等. 基于响应面法和遗传神经网络模型的高沉积率激光熔覆参数优化[J]. 中国激光, 2021, 48(6): 0602112. https://www.cnki.com.cn/Article/CJFDTOTAL-JJZZ202106014.htmPANG Y F, FU G Y, WANG M Y, et al. Parameter optimization of high deposition rate laser cladding based on the response surface method and genetic neural network model[J]. Chinese Journal of Lasers, 2021, 48(6): 0602112. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JJZZ202106014.htm [12] PENG S T, LI T, ZHAO J L, et al. Towards energy and material efficient laser cladding process: modeling and optimization using a hybrid TS-GEP algorithm and the NSGA-Ⅱ[J]. Journal of Cleaner Production, 2019, 227: 58-69. [13] 唐忠, 李文强, 李彦. 一种区间不确定性参数的敏感度与可靠性分析方法[J]. 计算机集成制造系统, 2017, 23(12): 2593-2603.TANG Z, LI W Q, LI Y. Sensitivity and reliability analysis method of interval uncertainty parameters[J]. Computer Integrated Manufacturing Systems, 2017, 23(12): 2593-2603. (in Chinese) [14] 李聪波, 杨青山, 陈文倩, 等. 面向响应性能的集成式电子液压制动系统执行器参数优化[J]. 计算机集成制造系统, 2019, 25(11): 2710-2719.LI C B, YANG Q S, CHEN W Q, et al. Parameters optimization of integrated-electro-hydraulic brake system actuator for response performance[J]. Computer Integrated Manufacturing Systems, 2019, 25(11): 2710-2719. (in Chinese) [15] 朱刚贤, 张安峰, 李涤尘. 激光熔覆工艺参数对熔覆层表面平整度的影响[J]. 中国激光, 2010, 37(1): 296-301. https://www.cnki.com.cn/Article/CJFDTOTAL-JJZZ201001056.htmZHU G X, ZHANG A F, LI D C. Effect of process parameters on surface smoothness in laser cladding[J]. Chinese Journal of Lasers, 2010, 37(1): 296-301. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JJZZ201001056.htm [16] 李伦翔, 张德强, 李金华, 等. 激光熔覆镍基合金形貌优化及残余应力分析[J]. 激光与光电子学进展, 2020, 57(17): 171405. https://www.cnki.com.cn/Article/CJFDTOTAL-JGDJ202017023.htmLI L X, ZHANG D Q, LI J H, et al. Residual stress analysis and shape optimization of laser cladded Ni-based alloy coatings[J]. Laser & Optoelectronics Progress, 2020, 57(17): 171405. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JGDJ202017023.htm [17] RAHIMI M H, SHAYGANMANESH M, NOOROSSANA R, et al. Modelling and optimization of laser engraving qualitative characteristics of Al-SiC composite using response surface methodology and artificial neural networks[J]. Optics & Laser Technology, 2019, 112: 65-76. [18] 邓嵘, 敬斌杰, 张文汀. 响应面法在自激脉冲喷嘴结构优化中的应用[J]. 机械科学与技术, 2019, 38(9): 1366-1372.DENG R, JING B J, ZHANG W T. Application of response surface method to structural optimization of self-excited pulse nozzles[J]. Mechanical Science and Technology for Aerospace Engineering, 2019, 38(9): 1366-1372. (in Chinese) [19] 袁健. 基于响应面的汽车超高强度钢淬火参数优化[J]. 金属热处理, 2016, 41(6): 143-147. https://www.cnki.com.cn/Article/CJFDTOTAL-JSRC201606033.htmYUAN J. Optimization of quenching parameters for automobile ultra-high strength steel based on response surface[J]. Heat Treatment of Metals, 2016, 41(6): 143-147. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JSRC201606033.htm [20] 李莉, 张赛, 何强, 等. 响应面法在试验设计与优化中的应用[J]. 实验室研究与探索, 2015, 34(8): 41-45.LI L, ZHANG S, HE Q, et al. Application of response surface methodology in experiment design and optimization[J]. Research and Exploration in Laboratory, 2015, 34(8): 41-45. (in Chinese) [21] 辛彬, 李淑娟, 李玉玺. 单晶硅电火花成形加工试验研究与工艺参数优化[J]. 兵工学报, 2017, 38(9): 1854-1861. https://www.cnki.com.cn/Article/CJFDTOTAL-BIGO201709024.htmXIN B, LI S J, LI Y X. Experimental research and optimization of process parameters in the electrical discharge machining of monocrystalline silicon[J]. Acta Armamentarii, 2017, 38(9): 1854-1861. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-BIGO201709024.htm [22] POLI R, KENNEDY J, BLACKWELL T. Particle swarm optimization[J]. Swarm Intelligence, 2007, 1(1): 33-57. [23] 王琪, 张任, 刘建, 等. 基于粒子群算法的双层剪式液压升降台液压缸位置的多目标优化问题研究[J]. 机械科学与技术, 2015, 34(8): 1229-1234. https://www.cnki.com.cn/Article/CJFDTOTAL-JXKX201508017.htmWANG Q, ZHANG R, LIU J, et al. Multi-object optimization problem research of hydraulic cylinder location of double scissor hydraulic lift platform based on particle swarm algorithm[J]. Mechanical Science and Technology for Aerospace Engineering, 2015, 34(8): 1229-1234. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXKX201508017.htm [24] 单剑锋, 杨雨. 粒子群优化的流形SVM模拟电路故障诊断[J]. 机械科学与技术, 2019, 38(2): 260-264. https://www.cnki.com.cn/Article/CJFDTOTAL-JXKX201902016.htmSHAN J F, YANG Y. Fault diagnosis of manifold svm analog circuit based on particle swarm optimization[J]. Mechanical Science and Technology for Aerospace Engineering, 2019, 38(2): 260-264. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXKX201902016.htm