A Forming Method and Theoretical Verification of Curvilinear Cylindrical Gears for Adjustable Contact Area

Xuegang Zhang; Yongchun Xie; Pengfei Wang

doi:10.16578/j.issn.1004.2539.2022.07.006

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A Forming Method and Theoretical Verification of Curvilinear Cylindrical Gears for Adjustable Contact Area

Theory·Reserach | 更新时间：2022-09-24

- A Forming Method and Theoretical Verification of Curvilinear Cylindrical Gears for Adjustable Contact Area
- Journal of Mechanical Transmission Vol. 46, Issue 7, Pages: 38-45(2022)
- 作者机构：
  
  1.攀枝花学院智能制造学院，四川攀枝花 617000
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.07.006
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张学刚,谢永春,王鹏飞.一种接触区可调的曲线圆柱齿轮成形方法与理论验证[J].机械传动,2022,46(07):38-45.

Zhang Xuegang,Xie Yongchun,Wang Pengfei.A Forming Method and Theoretical Verification of Curvilinear Cylindrical Gears for Adjustable Contact Area[J].Journal of Mechanical Transmission,2022,46(07):38-45.
张学刚,谢永春,王鹏飞.一种接触区可调的曲线圆柱齿轮成形方法与理论验证[J].机械传动,2022,46(07):38-45. DOI： 10.16578/j.issn.1004.2539.2022.07.006.

Zhang Xuegang,Xie Yongchun,Wang Pengfei.A Forming Method and Theoretical Verification of Curvilinear Cylindrical Gears for Adjustable Contact Area[J].Journal of Mechanical Transmission,2022,46(07):38-45. DOI： 10.16578/j.issn.1004.2539.2022.07.006.

摘要

为了提升曲线圆柱齿轮副的啮合性能，提出了一种可调整齿面接触区的成形方法。首先，制定了调整齿面接触区的基本方案，即，大齿轮采用双刃面铣刀加工，小齿轮凹齿面和凸齿面分别采用半径可调的外刃和内刃面铣刀加工；其次，基于啮合理论，推导了齿轮副的齿面数学模型；然后，基于轮齿接触分析（Tooth contact analysis，TCA），建立了装配误差下齿面接触和传动误差的数学模型；最后，通过8组算例从理论上验证了所提出方案的可行性。研究结果表明,所提出的成形方法是可行的，调整刀盘曲率半径可形成任意长度接触区的齿轮副，较大的齿面接触区可以提升齿轮的力学性能，但是齿面接触区过大会增加传动误差的敏感性。

Abstract

To improve the contact performance of curvilinear cylindrical gears，a forming method for adjusting the contact area of tooth surfaces is proposed. Firstly，a basic scheme is established for adjusting the contact area of tooth surfaces，which means the large gear is formed by a double-edged face-milling cutter，and the concave and convex surfaces of the pinion are formed by the outer-edge and inner-edge face-milling cutters，respectively. Secondly，mathematical models of the gear pair are educed based on meshing theory. Then，under assembly errors，mathematical models of contacting and transmission errors are established based on tooth contact analysis （TCA）. Finally，the feasibility of the proposed scheme is verified through 8 sets of examples. The research results show that the proposed forming method is feasible. Adjusting the curvature radius of the cutter can form gear pairs with any length of contact area. A larger tooth surface contact area can improve the mechanical properties of the gear. If tooth surface contact area is too large，it will increase the sensitivity of transmission errors.

关键词

曲线圆柱齿轮可调接触区成形方法数学模型TCA有限元法

Keywords

Curvilinear cylindrical gearsAdjustable contact areaForming methodMathematical modelTCAFinite element method

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