用等间距法直线逼近非圆曲线

265201010MachineDesignandResearchVo.l26No.5Oct.,2010收稿日期:2010-05-10文章编号:1006-2343(2010)05-017-03用等间距法直线逼近非圆曲线1,2,2,3,2(1.兰州石化职业技术学院机械工程系,甘肃兰州730060,E-mai:[e-mail];2.上海交通大学机械与动力工程学院,上海200240;3.山东水利职业学院机械工程系,山东日照276800):用等间距法直线逼近非圆曲线易于实现手工宏程序编程改变逼近精度,且可读性强针对如何确定间距的问题,结合等弦长法提出了一种新方法通过实例验证该方法的有效性和可行性,具有很高的实用和参考价值:;;:TG519.1:ATheResonableApproachofDeterminingStepSizeforInterpolationofNon-circleCurvebyLinearApproximationNIChun-jie1,2,YAOZhen-qiang2,ZHANGL-iwen3,2(1.DepartmentofMechanicalEngineering,LanzhouPetrochemicalofVacationalTechnology,Lanzhou,Gansu730060,China;2.SchoolofMechanicalEngineering,ShanghaiJiaotongUniversity,Shanghai200240,China;3.DepartmentofMechanical&ElectricalEngineering,ShandongWaterPolytechnic,Rizhao,Shandong276826,China)Abstract:Withtheapproachofequidistantinterpolationofthenon-circlecurvebylinearapproximation,Itpseasyforusertoachievethemacroprogrammingmanually,tochangetheapproximationaccuracyandtheprogramisreada-ble.Anexampleispresentedtodeterminestepsizeproperly,whichiscombinedwiththeapproachofequa-lchord.Itdemonstratesthatthemethodofequidistantinterpolationisfeasibleformanualmacroprogramming.Itpsalsohighlypracticalandusefu.lKeywords:equidistant;non-circlecurve;macroprogram,,,,,[1,2],,,,[3],,,,[4],;[5],,,,,,NC,,,,,,,[6]:0.1100D,D,DDD,,D1等间距法基本原理(D[D),1,X$x,yi=f(xi),X()$x,xi+1=xi?$x,yi+1=f(xi+1),2确定间距长度$x的计算方法$xD,(),$xmin:2.1R=(1+yc2)3/2yd(1)2.2$l$lU8RminD(2)[5,7]2.3(xa,ya),,$l,(x1,y1),2,$l(x2,y2)(x3,y3)(x-xa)2+(z-za)2=$l2y=f(x)(3)w1w22.4,,3应用实例3,O3x=6cos(10z)+34,(-12.356FzF0),Z,,4w3w43.1MATLAB(1)Rmin$lMATLABM,MATLABdif,f(1),z0.1,,(5),,z=0D=0.01,6MATLAB,0.1828,Rmin5.4713,$l0.6616w5w6$lMATLAB1826(2)MATLABM,(3)MATLABfsolve,7w7MATLABMATLAB,,Z$z,1,$zmin=0.4571,$z=0.453.2SINUMERIK810DT[8],,,83mm,w84结论,,,,,,,参考文献[1],.CAD/CAM[J].,2008,183(2):61~62.[2].[J].,2009,37(5):42~45.[3],,.[J].,2006,(10):30~32.[4].[J].,2002,(3):29~31.[5].[J].,2008,(2):63~65.[6].[J].,2007,7(4):5~7.[7],,.[J].,2002,(5):158~161,151.[8]siemens.SINUMERIK840D/840Di/810D)[DB/OL].03.04,2004,:倪春杰(1970-),女,副教授,主要从事数控加工方面的科研和教学工作,发表论文7余篇请向各地邮局订阅20115机械设计与研究6195: