Drawing Analysis and Calculation of Root Transition Curves of Root Cutting Gears

Zhou Yanfang; Zhang Wei; Hou Keqing

doi:10.16578/j.issn.1004.2539.2023.11.012

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Drawing Analysis and Calculation of Root Transition Curves of Root Cutting Gears

Design· Calculation | 更新时间：2023-12-01

- Drawing Analysis and Calculation of Root Transition Curves of Root Cutting Gears
- Journal of Mechanical Transmission Vol. 47, Issue 11, Pages: 80-85(2023)
- 作者机构：
  
  长治职业技术学院机械电子工程系，山西长治 046011
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2023.11.012
  CLC：
- Published：15 November 2023，
  
  Received：10 April 2023，
  
  Revised：18 July 2023，
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周艳芳,张伟,侯克青.根切齿轮齿根过渡曲线图解分析与计算[J].机械传动,2023,47(11):80-85.

Zhou Yanfang,Zhang Wei,Hou Keqing.Drawing Analysis and Calculation of Root Transition Curves of Root Cutting Gears[J].Journal of Mechanical Transmission,2023,47(11):80-85.
周艳芳,张伟,侯克青.根切齿轮齿根过渡曲线图解分析与计算[J].机械传动,2023,47(11):80-85. DOI： 10.16578/j.issn.1004.2539.2023.11.012.

Zhou Yanfang,Zhang Wei,Hou Keqing.Drawing Analysis and Calculation of Root Transition Curves of Root Cutting Gears[J].Journal of Mechanical Transmission,2023,47(11):80-85. DOI： 10.16578/j.issn.1004.2539.2023.11.012.

摘要

依据齿轮参数和几何尺寸，基于范成法加工齿轮原理，建立了根切齿轮齿根过渡曲线和轮齿渐开线的参数方程，准确绘制出根切齿轮齿形图；并用Matlab软件编制程序，精确计算了齿根最小弦齿厚和最大根切半径。为建立根切轮齿的有限元模型、量化分析根切齿轮齿根弯曲疲劳强度与变位系数的关系、确定根切齿轮的最佳变位系数、研究根切齿轮在工业生产中应用的可行性等提供了可靠依据。

Abstract

According to the parameters and geometric dimensions of the gear

the parametric equations of the transition curve and involute line of the root cutting gear are established based on the principle of machining the gear with the generating method

the tooth shape diagram of the root cutting gear is accurately drawn

and the minimum chord tooth thickness and maximum root cutting radius are accurately calculated with the Matlab software. It provides a reliable basis for establishing the finite element model of the root cutting gear

quantifying the relationship between the bending fatigue strength and the displacement coefficient of the root cutting gear

determining the best displacement coefficient of the root cutting gear

and studying the feasibility of the use of the root cutting gear in the industrial production.

关键词

根切齿轮过渡曲线延伸渐开线等距曲线

Keywords

Root cutting gearTransition curveExtended involute lineEquidistant curve

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