Modeling and Meshing Analysis of 3-DOF Spherical Gear

Litong Zhang; Xianting Lu; Dashun Zhang; Baichao Wang; Zhenquan Xu

doi:10.16578/j.issn.1004.2539.2021.02.019

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Modeling and Meshing Analysis of 3-DOF Spherical Gear

Test·Analysis | 更新时间：2022-11-10

- Modeling and Meshing Analysis of 3-DOF Spherical Gear
- Journal of Mechanical Transmission Vol. 45, Issue 2, Pages: 124-128(2021)
- 作者机构：
  
  1.长春理工大学机电工程学院，吉林长春 130022
  2.中国兵器工业集团第55研究所数字化制造研究室，吉林长春 130000
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.02.019
  CLC：
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张澧桐,路先亭,张大舜等.3自由度球齿轮建模与啮合分析[J].机械传动,2021,45(02):124-128.

Zhang Litong,Lu Xianting,Zhang Dashun,et al.Modeling and Meshing Analysis of 3-DOF Spherical Gear[J].Journal of Mechanical Transmission,2021,45(02):124-128.
张澧桐,路先亭,张大舜等.3自由度球齿轮建模与啮合分析[J].机械传动,2021,45(02):124-128. DOI： 10.16578/j.issn.1004.2539.2021.02.019.

Zhang Litong,Lu Xianting,Zhang Dashun,et al.Modeling and Meshing Analysis of 3-DOF Spherical Gear[J].Journal of Mechanical Transmission,2021,45(02):124-128. DOI： 10.16578/j.issn.1004.2539.2021.02.019.

摘要

提出一种3自由度球齿轮，轮齿齿面由渐开线环形齿面和半球型锥齿轮弧形齿面组合而成，可实现无原理误差传动。基于渐开线成形原理和坐标变换理论，推导了环形齿和弧形齿齿廓曲面方程;根据齿轮啮合原理与运动分析，得到弧形齿面的共轭齿面。利用计算机得到仿真齿面以及球齿轮三维实体模型，验证了齿面方程的正确性。该研究为3自由度球齿轮机构的运动学和动力学分析提供了依据。

Abstract

The 3-DOF spherical gear is proposed and its tooth surface is composed of involute ring tooth surface and semi-spherical bevel tooth surface， the error-free transmission can be realized. Based on the involute forming principle and the coordinate transformation theory， the curved surface equations of annular tooth and arc tooth are derived. According to the meshing principle and motion analysis， the conjugate tooth surface of the arc tooth surface is obtained. The simulation tooth surface and 3D model of 3-DOF spherical gear are obtained by computer， the correctness of tooth surface equation is verified. The basis for the kinematics and dynamics analysis of the 3-dof spherical gear mechanism is provided.

关键词

3自由度球齿轮齿面方程啮合原理

Keywords

3-DOFSpherical gearTooth surface equationMeshing principle

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