齿轮测量中心的工件圆度误差测量与分析
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摘要
为了研究齿轮测量中心测量轴运动轨迹不垂直和工件安装倾斜对工件圆度测量结果的影响,通过建立齿轮测量中心测量轴运动轨迹不垂直数学模型和工件倾斜数学模型,结合圆度误差测量软件,进行了测量轴不垂直模型和工件倾斜模型的仿真实验.分析了测量轴不垂直和工件安装倾斜两种因素对工件圆度误差测量结果的影响.结果表明:测量轴垂直度误差大于0.000 5°时,使圆度测量结果产生0.1μm以上的误差,测量得到的工件形状呈现椭圆状;工件安装倾斜角度大于0.2°时,使圆度测量结果产生0.1μm以上的误差,测量得到的工件形状呈现椭圆状.两测量轴运动轨迹不垂直和工件倾斜均导致工件圆度测量误差值偏大,且使圆度测量形状呈椭圆状.
The influence of non vertical motion trajectory of gear measuring center's measuring axle and tilting of workpiece installation on the workpiece roundness measurement results is researched.The mathematical models of non vertical motion trajectory of gear measuring center's measuring axle and workpiece tilting are established.Workpiece roundness measurement is simulated based on non vertical measuring axle model and workpiece tilting model.It turns out:When measuring axis perpendicularity error is greater than 0.000 5°,the measuring error is more than 0.1μm and the measured workpiece becomes oval;When the workpiece installation inclination angle is greater than 0.2°,the measuring error is more than0.1μm and the measured workpiece appears oval.The non vertical measuring axle moving trajectory and workpiece tilting installation result in measuring error of workpiece roundness and the shape of workpiece appears oval.
The influence of non vertical motion trajectory of gear measuring center's measuring axle and tilting of workpiece installation on the workpiece roundness measurement results is researched.The mathematical models of non vertical motion trajectory of gear measuring center's measuring axle and workpiece tilting are established.Workpiece roundness measurement is simulated based on non vertical measuring axle model and workpiece tilting model.It turns out:When measuring axis perpendicularity error is greater than 0.000 5°,the measuring error is more than 0.1μm and the measured workpiece becomes oval;When the workpiece installation inclination angle is greater than 0.2°,the measuring error is more than0.1μm and the measured workpiece appears oval.The non vertical measuring axle moving trajectory and workpiece tilting installation result in measuring error of workpiece roundness and the shape of workpiece appears oval.
引文
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[2]董兆鹏,黄富贵.圆度误差测量及评定方法综述[J].工具技术,2011,45(2):14.DONG Zhaopeng,HUANG Fugui.Review of Measurement and Evaluation Methods for Roundness Error[J].Tool Engineering,2011,45(2):14.(in Chinese)
[3]李先海.圆度测量实验装置的研究[D].合肥:合肥工业大学,2008.LI Xianhai.Research on Roundness Measurement of Experimental Device[D].Hefei:Hefei University of Technology,2008.(in Chinese)
[4]谢燕生.影响圆度测量误差的因素[J].内燃机与配件,2000(5):27.XIE Yansheng.Factors Affecting Roundness Measurement Error[J].Internal Combustion Engine&Parts,2000(5):27.(in Chinese)
[5]彭晓南,刘飞,雷贤卿.一种利用坐标测量机实现圆度误差评价的方法[J].仪器仪表学报,2008,29(8):1654.PENG Xiaonan,LIU Fei,LEI Xianqing.Roundness Error Evaluation Algorithm Using Coordinate Measuring Machine[J].Chinese Journal of Scientific Instrument,2008,29(8):1654.(in Chinese)
[6]魏瑞贞.工件圆度测量时轴线倾斜引起的测量误差计算[J].轴承,2006(4):37.WEI Ruizhen.Calculation of Measuring Error Caused by Axis Incline in Roundness Measurement of Workpieces[J].Bearing,2006(4):37.(in Chinese)
[7]葛磊,邹鲲.基于Matlab的圆度误差分析[J].机床与液压,2011,39(22):99.GE Lei,ZOU Kun.Roundness Error Analysis Based on Matlab[J].Machine Tool&Hydraulics,2011,39(22):99.(in Chinese)
[8]刘震.两坐标轴垂直度误差测量方法的探讨[J].质量技术监督研究,2014(5):8.LIU Zhen.Discussion on the Two Coordinate Axis Perpendicularity Error Measurement Method[J].Quality and Technical Supervision Research,2014(5):8.(in Chinese)
[9]唐宇慧.圆度误差检测的现状与展望[J].机床与液压,2004(11):6.TANG Yuhui.The State and Development Trend of Roundness Error Inspection[J].MachineTool&Hydraulics,2004(11):6.(in Chinese)
[10]沈云波.在坐标测量机上测量圆度误差[J].计量技术,2006(11):23.SHEN Yunbo.Measuring Roundness Error on a Coordinate Measuring Machine[J].Measurement Technique,2006(11):23.(in Chinese)
[11]范晋伟,刘宏旭,胡勇,等.3920型齿轮测量中心几何结构建模分析[J].中国工程机械学报,2006,4(2):133.FAN Jinwei,LIU Hongxu,HU Yong,et al.Researeh on Geometric Error Compensation Method of the Coordinate Gearing Measure Machine[J].Chinese Journal of Construction Machinery,2006,4(2):133.(in Chinese)
[12]宋远.齿轮测量中心误差补偿技术研究[D].南昌:南昌大学,2013.SONG Yuan.The Research of Error Compensation Technology about Gear Measuring Center[D].Nanchang:Nanchang University,2013.(in Chinese)
[13]黄志辉,余朋,罗大庸,等.两坐标工作台运动轴线垂直度的精密测量[J].工具技术,1999,33(9):29.HUANG Zhihui,YU Peng,LUO Dayong,et al.Precise Measurement for Verticality of Moving Axes of X-Y Table[J].Tool Engineering,1999,33(9):29.(in Chinese)
[14]魏东,李冬梅,黄有群.三维图形绕坐标轴连续旋转的算法与实现[J].沈阳工业大学学报,2007,29(6):696.WEI Dong,LI Dongmei,HUANG Youqun.Algorithm and Implementation of Continuous Rotation of Three-Dimensional Graphic Around Coordinate Axis[J].Journal of Shenyang University of Technology,2007,29(6):696.(in Chinese)