磁场辅助电火花加工放电间隙数学模型的建立
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摘要
与微细电极正交布置的磁场通过影响放电通道,扩大放电间隙改善放电环境并且增大放电能量,有效提高了电火花加工效率。为了预测及调控磁场辅助电火花加工(MF-EDM)的放电间隙,采用部分析因试验设计方法,应用数学优化分析软件1stOpt,基于正交磁场辅助单脉冲电火花放电的试验数据进行非线性多项式拟合,建立了放电间隙的数学模型,并通过进一步试验验证模型的可靠性,实际值与估算值误差控制在8%以内。
The magnetic field which is orthogonal with micro electrode can improve the efficiency of EDM by affecting the discharge channel,expanding the discharge gap and improving the discharge environment. In order to predict and control the magnetic field assisted EDM(MF-EDM)discharge gap,the method of experiment has been designed by fractional factorial experimental methods and then mathematical model of discharge gap has been established by the 1 stOpt that is a mathematical optimization analysis software,which is based on orthogonal magnetic field assisted the electric single-pulse discharge test data.And then through further more reliability test,the error between actual and estimated is restricted within 8%.
The magnetic field which is orthogonal with micro electrode can improve the efficiency of EDM by affecting the discharge channel,expanding the discharge gap and improving the discharge environment. In order to predict and control the magnetic field assisted EDM(MF-EDM)discharge gap,the method of experiment has been designed by fractional factorial experimental methods and then mathematical model of discharge gap has been established by the 1 stOpt that is a mathematical optimization analysis software,which is based on orthogonal magnetic field assisted the electric single-pulse discharge test data.And then through further more reliability test,the error between actual and estimated is restricted within 8%.
引文
[1]马丽华,杨世春,曹明让.永磁磁场与电火花复合加工试验分析[J].新技术新工艺,2008,2008(4):36-38.(Ma Li-hua,Yang Shi-chun,Cao Ming-rang.The experimental analysison the permanent magnet field and EDM compound machining[J].NewTechnology and New Process,2008,2008(4):36-38.)
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[3]袁永全.垂直磁场辅助的电火花加工的机理研究与试验分析[D].太原:太原理工大学,2007.(Yuan Yong-quan.Study on the mechanism of perpendicular magneticfield assisted EDM and simulation analysis[D].Taiyuan:Taiyuan Unive-rsity of Technology,2007.)
[4]刘宇,阎长罡,张生芳.外加磁场对铁磁材料电火花小孔加工的影响[J].电加工与模具,2014(1):4.(Liu Yu,Yan Chang-gang,Zhang Sheng-fang.Influence of the additionalmagnetic field on small-hole EDM of ferromagnetic material[J].ElectroMachining and Mould,2014(1):4.)
[5]Manesh K K,Narayanan A A.Numerical simulation of magnetic field-assisted material removal in Micro-EDM[C].Materials Science Forum.Trans Tech Publications,2015(830):104-107.
[6]Joshi S,Govindan P,Malshe A.Experimental characterization of dry EDMperformed in a pulsating magnetic field[J].CIRP Annals-ManufacturingTechnology,2011,60(1):239-242.
[7]Kuriachen B,Mathew J.Modeling of material removal mechanism inmicro electric discharge milling of Ti-6Al-4V[J].Applied Mechanics andMaterials. Trans Tech Publications,2014(592):516-520.
[8]袁建民.电火花加工实验数学模型的建立[J].现代制造工程,2006,2006(9):134-135.(Yuan Jian-ming.EDM experimental mathematical models[J].ModernManufacturing Engineering,2006,2006(9):134-135.)
[9]刘畅,李军.电火花微小孔加工速度的预测[J].机械设计与制造,2013(11):251-252.(Liu Chang,Li Jun.The prediction for the processing speed of EDM ma-chining micro-hole[J].Machinery Design&Manufacture,2013(11):251-252.)
[10]白基成,刘晋春.特种加工[M].北京:机械工业出版社,2013.(Bai Ji-cheng,Liu Jing-chun.Non-Traditional Machining[M].Beijing:China Machine Press,2013.)
[2]Cao M R,Wang Y Q,Yang S Q.Experimental and mechanism researchon EDM combined with magnetic field[C].Key Engineering Materials.Tr-ans Tech Publications,2009(416):337-341.
[3]袁永全.垂直磁场辅助的电火花加工的机理研究与试验分析[D].太原:太原理工大学,2007.(Yuan Yong-quan.Study on the mechanism of perpendicular magneticfield assisted EDM and simulation analysis[D].Taiyuan:Taiyuan Unive-rsity of Technology,2007.)
[4]刘宇,阎长罡,张生芳.外加磁场对铁磁材料电火花小孔加工的影响[J].电加工与模具,2014(1):4.(Liu Yu,Yan Chang-gang,Zhang Sheng-fang.Influence of the additionalmagnetic field on small-hole EDM of ferromagnetic material[J].ElectroMachining and Mould,2014(1):4.)
[5]Manesh K K,Narayanan A A.Numerical simulation of magnetic field-assisted material removal in Micro-EDM[C].Materials Science Forum.Trans Tech Publications,2015(830):104-107.
[6]Joshi S,Govindan P,Malshe A.Experimental characterization of dry EDMperformed in a pulsating magnetic field[J].CIRP Annals-ManufacturingTechnology,2011,60(1):239-242.
[7]Kuriachen B,Mathew J.Modeling of material removal mechanism inmicro electric discharge milling of Ti-6Al-4V[J].Applied Mechanics andMaterials. Trans Tech Publications,2014(592):516-520.
[8]袁建民.电火花加工实验数学模型的建立[J].现代制造工程,2006,2006(9):134-135.(Yuan Jian-ming.EDM experimental mathematical models[J].ModernManufacturing Engineering,2006,2006(9):134-135.)
[9]刘畅,李军.电火花微小孔加工速度的预测[J].机械设计与制造,2013(11):251-252.(Liu Chang,Li Jun.The prediction for the processing speed of EDM ma-chining micro-hole[J].Machinery Design&Manufacture,2013(11):251-252.)
[10]白基成,刘晋春.特种加工[M].北京:机械工业出版社,2013.(Bai Ji-cheng,Liu Jing-chun.Non-Traditional Machining[M].Beijing:China Machine Press,2013.)