基于斜角切削的曲线端铣切削力建模.pdf

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1、第52卷第9期机械工程学报Vol.52No.92016年5月JOURNALOFMECHANICALENGINEERINGMay2016DOI：10.3901/JME.2016.09.184*基于斜角切削的曲线端铣切削力建模罗智文赵文祥焦黎高守锋刘志兵颜培王西彬(北京理工大学先进加工技术国防重点学科实验室北京100081)摘要：切削力预测是制定与优化加工工艺的重要环节。针对曲线端铣加工过程，提出一种基于斜角切削的切削力建模方法。将刀具沿轴向微分，以曲线微分几何计算微元刃上的工作基面。在微元刃的工作法平面参考系中，应用最小能量原理，构建微元刃中力矢量、

2、速度矢量、流屑角、法向摩擦角、法向剪切角及剪应力等切削参数之间的约束。以单齿直线铣削试验对切削参数进行标定，其中法向摩擦角、法向剪切角及剪应力等可表示为瞬时未变形切屑厚度的函数。选取高强度钢PCrNi3MoVA试件，分别进行圆弧和Bézier曲线端铣加工试验。试验结果表明，曲线端铣时切削力的变化与瞬时进给方向和曲线曲率相关。切削力预测值的幅值大小和变化趋势与试验值一致，验证了该切削力建模方法的有效性。关键词：切削力；曲线端铣；斜角切削；最小能量原理中图分类号：TG506CuttingForceModelinginEndMillingofCurved

3、GeometriesBasedonObliqueCuttingProcessLUOZhiwenZHAOWenxiangJIAOLiGAOShoufengLIUZhibingYANPeiWANGXibin(KeyLaboratoryofFundamentalScienceforAdvancedMachining,BeijingInstituteofTechnology,Beijing100081)Abstract：Cuttingforcepredictionisthekeyissueforplanningandoptimizingthemachini

4、ngprocess.Basedonanobliquecuttingprocess,anovelmethodformodelingcuttingforceisproposedinendmillingofcurvedgeometries.Differentiatingcutteralongtheaxil,theworkingreferenceplaneforaninfinitesimalcutterelementiscalculatedbyutilizingdifferentialgeometryofcurves.Inthereferencesyste

5、mofworkingnormalplane,theconnectionbetweencuttingparameters,e.g.,forcevectors,velocityvectors,chipflowangle,normalfrictionangle,normalshearangleandshearstress,isestablishedbytheminimumenergyprinciple.Single-toothstraightmillingtestsareutilizedforcalibratingthecuttingforcecoeff

6、icients,inwhichnormalfrictionangle,normalshearangleandshearstresscanbecharacterizedbythedual-exponentialfunctionofinstantaneousunreformedchipthickness.TwoPCrNi3MoVAcomponentswithcircularandBéziercurvedgeometriesaremachined.Theexperimentalresultsshowthatvariationofcuttingforcei

7、sinfluencedwiththeinstantaneousfeeddirectionandthecurvatureofthecurve.Validityofthecuttingforcemodelisdemonstratedbycomparingpredictedcuttingforceswiththeexperimentalresults.Keywords：cuttingforce；endmillingofcurvedgeometries；obliquecuttingprocess；minimumenergyprinciple[2]HAN等根

8、据不同的径向切深，把圆角铣削分*0前言为五个阶段，将刀齿轨迹近似为圆弧，以迭代法计算了切削力模型中啮合角及瞬时未变形切屑厚