电火花成型变可信度模型构建及工艺参数优化Variable-Fidelity Surrogate Modeling and Process Parameters Optimization of EDM
王洋,马军,邰理想,李晓科
摘要(Abstract):
针对电火花成型(Electro Discharge Machining,EDM)工艺参数优化中建模成本与精度难以平衡带来的困扰,这里利用Co-Kriging变可信度代理模型(Variable-fidelity Surrogate Model,VFM)拟合工艺参数(脉冲电流、周率、占空比)与性能响应(加工效率,表面粗糙度等)之间的隐式关系。采用低成本多脉冲热流仿真实验获得低可信度样本,再利用物理实验得到高可信度样本,通过融合高低可信度数据,建立能够准确表达工艺参数与性能响应之间隐式关系的变可信度(Variable-Fidelity,VF)代理模型,从而实现代理模型构建精度与成本之间的平衡。最后,建立基于Co-Kriging的变可信度优化模型,并采用序列二次规划算法(SQP)对优化模型进行寻优求解。结果表明,相较于低可信度Kriging模型和高可信度Kriging模型,采用Co-Kriging模型求取的最优参数组合材料去除率最高,并且粗糙度能够满足约束要求。因此,所提出的技术在电火花成型加工优化领域具有显著的优势和应用潜力。
关键词(KeyWords): 电火花成型加工;多脉冲热流仿真;变可信度代理模型;Co-Kriging;工艺参数优化
基金项目(Foundation): 河南省科技攻关计划项目(232102220099)
作者(Author): 王洋,马军,邰理想,李晓科
DOI: 10.19356/j.cnki.1001-3997.20260402.016
参考文献(References):
- [1]MING W Y,SHEN F,ZHANG G J,et al.Green machining:A framework for optimization of cutting parameters to minimize energy consumption and exhaust emissions during electrical discharge machining of Al 6061and SKD 11[J].Journal of Cleaner Production,2021(285).
- [2]Quarto M,D′urso G,Giardini C.Micro-EDM optimization through particle swarm algorithm and artificial neural network[J].Precision Engineering,2022(73):63-70.
- [3]常皓,王文建,张文超,等.电极材料对电火花加工金属蒸汽能量传递影响[J].机械设计与制造,2021(12):154-158.(Chang Hao,Wang Wenjian,Zhang Wenchao,et al.Influence of electrode material on energy transfer of vapor torch in EDM processing[J].Machinery Design&Manufacture,2021(12):154-158.)
- [4]ENRIN N,AKINCIO??LU S.Kriyojenik i??lem g??rmü??nikel esasl??süper ala????m??n elektro-erozyon i??leme performans??optimizasyonu[J].Academic Platform-Journal of Engineering and Science,2019,7(1):115-126.
- [5]MA J,HAN X Y,XU Q,et al.Reliability-based EDM process parameter optimization using kriging model and sequential sampling[J].Mathematical Biosciences and Engineering,2019,16(6):7421-7432.
- [6]MING W Y,ZHANG G G,Li H,et al.A hybrid process model for EDMbased on finite-element method and Gaussian process regression[J].The International Journal of Advanced Manufacturing Technology,2014,4(9):1197-1211.
- [7]THAKUR S,PRADHAN S,SHARMA U.Modeling and parametric analysis of ceramic,mixed EDM process[J].Materials Today:Proceedings,2022(68):1233-1240.
- [8]MADHAB B,RAHANG M.Surface modification of Al-7075 using CuCNT green tool in EDM[J].Surface Engineering,2022:1-10.
- [9]王续跃,胡辉,梁延德,等.钛合金小孔电火花加工有限元仿真研究[J].中国机械工程,2013,24(13):1738-42+48.(Wang Xuyue,Hu Hui,Liang Yande,et al.Finite element simulation of small-hole on titanium alloy drilled by EDM[J].China Mechanical Engineering,2013,24(13):1738-42+48.)
- [10]曲周德,杨平,李敏.基于ABAQUS的单脉冲电火花表面强化数值模拟[J].热加工工艺,2016,45(2):123-6.(Qu Zhoude,Yang Ping,Li Min.Numerical simulation of process of EDM surface strengthenging based on ABAQUS[J].Hot Working Technology,2016,45(2):123-6.)
- [11]JOSHI S N,PANDE S S.Development of an intelligent process model for EDM[J].The International Journal of Advanced Manufacturing Technology,2009,45(3):300-317.
- [12]IZQUIERDO B,SANCHEZ J A,PLAZA S,et al.A numerical model of the EDM process considering the effect of multiple discharges[J].International Journal of Machine Tools and Manufacture,2009,49(3-4):220-229.
- [13]TANG L,JI Y,REN L,et al.Thermo-electrical coupling simulation of powder mixed EDM Si C/Al functionally graded materials[J].The International Journal of Advanced Manufacturing Technology,2019,105(5):2615-2628.
- [14]QUARTO M,D’URSO G,GIARDINI C,et al.A comparison between finite element model(FEM)simulation and an integrated artificial neural network(ANN)-particle swarm optimization(PSO)approach to forecast performances of micro electro discharge machining(micro-EDM)drilling[J].Micromachines,2021,12(6):667.
- [15]余剑武,胡其丰,文丞,等.基于支持向量机的电火花加工8418钢表面粗糙度预测模型[J].中国机械工程,2018,29(7):771-4+93.(Yu Jianwu,Hu Qifeng,Wen Cheng,et al.Prediction model of surface roughness of 8418 steel by EDM base on SVM[J].China Mechanical Engineering,2018,29(7):771-4+93.)
- [16]XIE Z P,ZHNEG J M,QUAN B L.Optimization by grey relational analysis of EDM parameters on machining Ti-6Al-4V[C]Advanced Materials Research.Trans Tech Publications Ltd,2010(139):540-544.
- [17]HUU P N,MUTHURAMALINGAM T.Multi criteria decision making of vibration assisted EDM process parameters on machining silicon steel using Taguchi-DEAR methodology[J].Silicon,2021,13(6):1879-1885.
- [18]BASHA S K,RAJU M,RAJU M,et al.Multi response optimization of EDM process parameters for inconel x-750 using MOORA[J].Journal of Mechanical Engineering Research&Developments(JMERD),2019,42(1):30-40.
- [19]PAUL T R,SAHA A,MAJUMDER H,et al.Multi-objective optimization of some correlated process parameters in EDM of Inconel 800 using a hybrid approach[J].Journal of the Brazilian Society of Mechanical Sciences and Engineering,2019,41(7):1-11.
- [20]AICH U,BANERJEE S.Modeling of EDM responses by support vector machine regression with parameters selected by particle swarm optimization[J].Applied Mathematical Modelling,2014,38(11-12):2800-18.
- [21]YEO S H,KURNIA W,TAN P C.Critical assessment and numerical comparison of electro-thermal models in EDM[J].Journal of Materials Processing Technology,2008,203(1-3):241-251.
- [22]SALONITIS K,STOURNARAS A,STAVROPOULOS P,et al.Thermal modeling of the material removal rate and surface roughness for diesinking EDM[J].The International Journal of Advanced Manufacturing Technology,2009,40(3):316-323.
- [23]JIANG C,HU Z,LIU Y X,et al.A sequential calibration and validation framework for model uncertainty quantification and reduction[J].Computer Methods in Applied Mechanics and Engineering,2020(368):113172.
- [24]LI X K,ZHU H,CHEN Z Z,et al.Limit state Kriging modeling for reliability-based design optimization through classification uncertainty quantification[J].Reliability Engineering&System Safety,2022(224):108539.
- [25]LIU X W,ZHAO W W,WAN D C.Multi-fidelity Co-Kriging surrogate model for ship hull form optimization[J].Ocean Engineering,2022(243):110239.
- [26]ROHIT R J,GANGULI R.Co-kriging based multi-fidelity uncertainty quantification of beam vibration using coarse and fine finite element meshes[J].International Journal for Computational Methods in Engineering Science and Mechanics,2022,23(2):147-168.
- [27]SHAN S Q,WANG G G.Survey of modeling and optimization strategies to solve high-dimensional design problems with computationallyexpensive black-box functions[J].Structural and Multidisciplinary Optimization,2010,41(2):219-41.
- [28]ZHANG K S,HE S J,HAN Z H.Comparative studies of support vector regression and kriging-theory and applications[C].2018 Multidisciplinary Analysis and Optimization Conference,2018:3748.