Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear

Xu Aifen; Jia Jumin; Chen Yuqing

doi:10.16578/j.issn.1004.2539.2017.08.027

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Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear

更新时间：2022-10-20

- Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear
- Vol. 41, Issue 8, Pages: 128-132(2017)
- 作者机构：
  
  1. 1. 陆军军事交通学院军事物流系 2. 41军工兵力
- 作者简介：
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- DOI：10.16578/j.issn.1004.2539.2017.08.027
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[1]许爱芬,贾巨民,陈雨青.螺旋非圆锥齿轮齿面设计及运动仿真研究[J].机械传动,2017,41(08):128-132.

Xu Aifen, Jia Jumin, Chen Yuqing. Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear. [J]. 41(8):128-132(2017)
[1]许爱芬,贾巨民,陈雨青.螺旋非圆锥齿轮齿面设计及运动仿真研究[J].机械传动,2017,41(08):128-132. DOI： 10.16578/j.issn.1004.2539.2017.08.027.

Xu Aifen, Jia Jumin, Chen Yuqing. Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear. [J]. 41(8):128-132(2017) DOI： 10.16578/j.issn.1004.2539.2017.08.027.

摘要

应用微分几何的曲线曲面论定理,基于课题组已成功研发的直齿非圆锥齿轮的三维齿廓,对螺旋非圆锥齿轮齿面节线的构建原理进行了研究。基于映射法构建了螺旋非圆锥齿轮齿面节线的数学模型,依据密切面的思想及算法,完成了螺旋非圆锥小齿轮实体模型的构建。应用包络原理,完成了螺旋非圆锥大齿轮实体模型的构建。运动学仿真结果验证了算法及模型的正确性。研究成果为变传动比限滑差速器非圆锥齿轮设计及其啮合理论的完善及创新提供了理论和技术支撑。

Abstract

Applied the theory of curve and surface of differential geometry,based on the noncircular bevel gear profile researched and developed successfully by research team. The construction principle of the tooth section line of the spiral noncircular bevel gear is studied. Based on the mapping method,the mathematical model of the tooth section line of the spiral noncircular bevel gear is built. On the basis of the theory and algorithm of osculating planes,the solid model of the spiral noncircular bevel gear is built. The solid model of another spiral noncircular bevel gear is built according to the enveloping principle. The correctness of the algorithm and the model is verified by the kinematics simulation results. The research results provide theoretical and technical support for the improvement and innovation of the design and meshing theory of the spiral noncircular bevel gear in the variable ratio limited slip differential.

关键词

变传动比非圆锥齿轮齿面节线数学模型运动仿真

Keywords

Variable ratioNoncircular bevel gearTooth section lineMathematical modelsMovement simulation

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College of Mechanical Engineering, North China University of Science and Technology

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