Runout Evaluation of Bevel Gears by Pitch Deviation Measurements

doi:10.7652/xjtuxb201307011

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Runout Evaluation of Bevel Gears by Pitch Deviation Measurements

更新时间：2025-07-09

- Runout Evaluation of Bevel Gears by Pitch Deviation Measurements
- Vol. 47, Issue 7, Pages: 57-61+79(2013)
- 作者机构：
  
  西安交通大学机械制造系统工程国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201307011
  CLC： TH132.41
- Online First：10 July 2013，
  
  Published：2013
- 稿件说明：
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Runout Evaluation of Bevel Gears by Pitch Deviation Measurements[J]. 2013, 47(7): 57-61+79.
DOI：

Runout Evaluation of Bevel Gears by Pitch Deviation Measurements[J]. 2013, 47(7): 57-61+79. DOI： 10.7652/xjtuxb201307011.

摘要

为了在齿轮测量中心上给出锥齿轮径向跳动的客观准确评价

提出了利用周节偏差处理径向跳动的新方法。采用二阶曲面近似代替理论齿面建立了被测锥齿轮齿面模型

利用切平面法来确定假想球形测头的直径

根据周节偏差建立了虚拟测量的数学模型

通过求解测头球面与被测锥齿轮齿面的约束接触方程组

计算出锥齿轮的径向跳动。通过对一个准双曲面齿轮小轮的实例分析表明:新方法与传统方法相比

缩短了齿轮检测时间; 与切平面法和圆柱面法相比

能够更准确地建立齿面模型

径向跳动迭代值的变化量可以小于被测锥齿轮径向跳动一级精度公差值的1/10

从而提高了锥齿轮径向跳动评价结果的可信度。

Abstract

To obtain accurate and objective runout evaluations of bevel gears on coordinate measurement machines(CMMs)

a new runout measurement strategy by pitch deviation was put forward. The model of measured bevel gear was established via replacing the theoretical tooth surface with quadric surface

the diameter of imaginary ball probe was determined by the tangent plane method

the mathematical model for virtual measurement was constructed by pitch deviation

and hence the runout was determined by solving the system equations governing the tangent contact relation between the probe and the tooth surface of the measured gear. A case of hypoid pinion indicates that the variation in the runout iterations gets less than one-tenth of the tolerance value of grade one for the measured bevel gear

showing the reliability of the model.

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Keywords

references

AGMA. ANSI-AGMA 2009-B01 Bevel gear classification, tolerances and measuring methods [S]. Alexandria, USA: AGMA, 2001: 4-13.

GOCH G. Gear metrology [J]. Annals of the CIRP, 2003, 52(2): 659-695.

GUENTHER A. Evaluation of runout deviation at bevel gears based on pitch measurements [J]. Annals of the CIRP, 2006, 55(1): 539-542.

石照耀, 左序涛, 林虎. 锥齿轮单项误差测量仪器的研制 [J]. 北京工业大学学报, 2009, 35(9): 1163-1167.

SHI Zhaoyao, ZUO Xutao, LIN Hu. Development of bevel gear deviations measuring machine [J]. Journal of Beijing University of Technology, 2009, 35(9): 1163-1167.

齿轮手册编委会. 齿轮手册 [M]. 2版. 北京: 机械工业出版社, 2000.

苏智剑, 吴序堂, 毛世民, 等. 基于齿面参数化表示的准双曲面齿轮的设计 [J]. 西安交通大学学报, 2005, 39(1): 17-20

SU Zhijian, WU Xutang, MAO Shimin, et al. Design of hypoid gear tooth surface represented by non-uniform rational B-spline polynomial [J]. Journal of Xi'an Jiaotong University, 2005, 39(1): 17-20.

陈维恒. 微分几何 [M]. 北京: 北京大学出版社, 2006: 176-181.

吴序堂. 齿轮啮合原理 [M]. 西安: 西安交通大学出版社, 2009: 195-196.

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