Numerical Compensation Method for Measuring Error of Tooth Profile of ZC1 Worm on Shaft Section

Zhiqiang Zhu; Jie Tang; Zhaoyao Shi

doi:10.16578/j.issn.1004.2539.2022.03.006

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Numerical Compensation Method for Measuring Error of Tooth Profile of ZC1 Worm on Shaft Section

Theory·Reserach | 更新时间：2022-09-24

- Numerical Compensation Method for Measuring Error of Tooth Profile of ZC1 Worm on Shaft Section
- Journal of Mechanical Transmission Vol. 46, Issue 3, Pages: 39-43(2022)
- 作者机构：
  
  1.北京工业大学材料与制造学部北京市精密测控技术与仪器工程技术研究中心，北京 100124
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.03.006
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朱志强,汤洁,石照耀.ZC1蜗杆轴截面齿廓测量误差数值补偿方法[J].机械传动,2022,46(03):39-43.

Zhu Zhiqiang,Tang Jie,Shi Zhaoyao.Numerical Compensation Method for Measuring Error of Tooth Profile of ZC1 Worm on Shaft Section[J].Journal of Mechanical Transmission,2022,46(03):39-43.
朱志强,汤洁,石照耀.ZC1蜗杆轴截面齿廓测量误差数值补偿方法[J].机械传动,2022,46(03):39-43. DOI： 10.16578/j.issn.1004.2539.2022.03.006.

Zhu Zhiqiang,Tang Jie,Shi Zhaoyao.Numerical Compensation Method for Measuring Error of Tooth Profile of ZC1 Worm on Shaft Section[J].Journal of Mechanical Transmission,2022,46(03):39-43. DOI： 10.16578/j.issn.1004.2539.2022.03.006.

摘要

依据ZC1蜗杆轴截面齿廓数学模型，可得到蜗杆轴截面齿廓理论离散点，而在ZC1蜗杆轴截面齿廓坐标测量中，由于, $x$ ,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34918497&type=,http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=34918493&type=,2.53999996,2.70933342,轴对不准引入了原理误差。为此，用细分法、牛顿插值法和三次样条插值法求解出与实际接触点较为接近的齿廓理论接触点，可得到补偿后的齿廓偏差数值。以模数为4 mm的ZC1蜗杆为例，与未作补偿的齿廓总偏差评定结果相比，分别用细分法、3阶牛顿插值法、三次样条法得到补偿后的齿廓总偏差结果，与同一试件在德国克林贝格P26齿轮测量中心得到的法向齿廓总偏差较为接近。给出的补偿方法效果明显，在接触式精密测量中具有一定的通用性。

Abstract

According to the mathematical model of ZC1 worm shaft section tooth profile，the theoretical discrete points of worm shaft section tooth profile can be obtained. In the coordinate measurement of ZC1 worm shaft section tooth profile，the principle error is introduced due to the misalignment of ,x, axis. Therefore，the tooth profile theoretical contact points close to the actual contact points are solved by subdivision method，Newton interpolation method and cubic spline interpolation method，and the compensated tooth profile deviation can be obtained. Taking the ZC1 worm with modulus of 4 mm as an example，compared with the evaluation results of the total deviation of the tooth profile without compensation，the total deviation results of the compensated tooth profile obtained by subdivision method，third-order Newton interpolation method and cubic spline method are close to the total deviation of the normal tooth profile obtained from the same specimen at the P26 gear measuring center in Klingelnberg，Germany. The compensation method has obvious effect and presents certain universality in contact precision measurement.

关键词

ZC1蜗杆误差补偿齿廓偏差齿轮测量中心

Keywords

ZC1 wormError compensationTooth profile deviationGear measuring center

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