蜗轮蜗杆减速机箱体孔轴线垂直度误差模型
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摘要
针对蜗轮蜗杆减速机箱体孔轴线垂直度的异面性检测问题,采用激光准直的方法,通过相机接收棱镜反射的衍射光斑,实现从异面到共面的转换。采用最小包容区域原则,结合三爪卡盘定位误差、光路引入的随机误差,建立了蜗轮蜗杆减速机箱体孔轴线垂直度测量装置的随机误差模型。根据模型分析,当选用光束偏差为0°±5″及90°±3″高精度棱镜时,配套三爪卡盘爪定位误差不应超过3.0μm。选用定位精度0.000 5 mm的超精密三爪卡盘,测量系统总随机误差为δ_1=4.7μm,总随机误差占公差比例约1/10。
As for the out-of-plane detection of the worm gear reducer's body-hole axis verticality, the laser collimation method is adopted to receive the diffracted spot reflected by the prism through the camera, in order to realize the conversion from the opposite plane to the coplanar plane.Based on the principle of minimum containment area, and in conjunction with the positioning error of the three-jaw chuck and the random error introduced by the optical path, the random error model which is used for the measuring device of the worm gear reducer's body-hole axis verticality is set up.Based on the model analysis, when the high-precision prism with a light deviation of 0°±5″ and 90°±3″ is selected, the positioning error of the supporting three-jaw chuck should not exceed 3.0 μm.When the ultra-precision three-jaw chuck with a positioning accuracy of 0.000 5 mm is selected, the total random error of the measuring device is δ_1=4.7 μm; the total random error is about 1/10 of the tolerance.
As for the out-of-plane detection of the worm gear reducer's body-hole axis verticality, the laser collimation method is adopted to receive the diffracted spot reflected by the prism through the camera, in order to realize the conversion from the opposite plane to the coplanar plane.Based on the principle of minimum containment area, and in conjunction with the positioning error of the three-jaw chuck and the random error introduced by the optical path, the random error model which is used for the measuring device of the worm gear reducer's body-hole axis verticality is set up.Based on the model analysis, when the high-precision prism with a light deviation of 0°±5″ and 90°±3″ is selected, the positioning error of the supporting three-jaw chuck should not exceed 3.0 μm.When the ultra-precision three-jaw chuck with a positioning accuracy of 0.000 5 mm is selected, the total random error of the measuring device is δ_1=4.7 μm; the total random error is about 1/10 of the tolerance.
引文
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[2]陈佳岩.减速机常见故障与影响承载因素分析[J].中国机械工程,2015,26(6):151-152.
[3]张荣法,李东升,胡佳成,等.基于自相关算法的减速机蜗轮齿形变化故障检测方法研究[J].计量学报,2014,35(6):599-602.
[4]张向东,马仑,齐瑞梓,等.基于三坐标测量系统针对孔与面间垂直度检测的研究[J].科技创新与应用,2017,33(1):193-194.
[5]于之靖,孙海龙,陶洪伟,等.三轴转台轴系相交度和垂直度的新测量方法[J].机床与液压,2015,43(17):24-28.
[6] Zhang G X,Yao J W,Qiu Z R,et al. Large-scale space angle measurement[J]. CIRP Annals-Manufacturing Technology,2008,57(1):525-528.
[7]司高潞,马步川,郑涛,等.棱镜组件安装误差自动化标定方法研究[J].导航与控制,2016,15(5):100-103.
[8]王学根,孙煜,贺永喜.分光棱镜位置变化对自准直测角光管角度测量误差的影响[J].导弹与航天运载技术,2017,46(1):22-25.
[9]于航,李东升,王梅宝,等.液位传感器校准装置几何误差模型及不确定度评定[J].机床与液压,2016,44(17):105-111.