Basic Principle and Contact Analysis of Internal Meshing Gear Drive with Curve Configuration

Dong Liang; Sheng Meng; Ming Li; Xiangyang Xu; Zeyin He

doi:10.16578/j.issn.1004.2539.2022.02.002

您当前的位置：

首页 >

文章列表页 >

Basic Principle and Contact Analysis of Internal Meshing Gear Drive with Curve Configuration

Theory·Reserach | 更新时间：2022-09-25

- Basic Principle and Contact Analysis of Internal Meshing Gear Drive with Curve Configuration
- Journal of Mechanical Transmission Vol. 46, Issue 2, Pages: 7-14(2022)
- 作者机构：
  
  1.重庆交通大学机电与车辆工程学院，重庆 400074
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.02.002
  CLC：
扫描看全文
梁栋,孟胜,李明等.内啮合曲线构型齿轮传动基本原理及接触分析[J].机械传动,2022,46(02):7-14.

Liang Dong,Meng Sheng,Li Ming,et al.Basic Principle and Contact Analysis of Internal Meshing Gear Drive with Curve Configuration[J].Journal of Mechanical Transmission,2022,46(02):7-14.
梁栋,孟胜,李明等.内啮合曲线构型齿轮传动基本原理及接触分析[J].机械传动,2022,46(02):7-14. DOI： 10.16578/j.issn.1004.2539.2022.02.002.

Liang Dong,Meng Sheng,Li Ming,et al.Basic Principle and Contact Analysis of Internal Meshing Gear Drive with Curve Configuration[J].Journal of Mechanical Transmission,2022,46(02):7-14. DOI： 10.16578/j.issn.1004.2539.2022.02.002.

摘要

在齿轮传动共轭曲线理论研究的基础上，以内啮合曲线构型齿轮传动为对象，推导了沿给定接触角方向的空间共轭曲线副啮合方程，建立内啮合条件下空间共轭曲线副表达式，根据空间等距包络方法构建继承内啮合共轭曲线副特性的啮合齿面，通过改变成型曲面的相对运动位置及等距半径，提出凸齿廓-凸齿廓、凸齿廓-平面和凸齿廓-凹齿廓3种接触型式；以空间圆柱螺旋曲线为例，结合理论分析结果及主要设计参数，建立凸齿廓-凹齿廓内啮合曲线构型齿轮副三维实体模型；定义齿面接触点压力角，给出基于空间共轭曲线的齿面滑动率计算算法，完成内啮合齿面接触迹线计算及分析，后续将对齿面啮合性能、接触力学特性及制造方法进行研究。

Abstract

Based on gear transmission conjugate-curve theory research， taking the internal meshing gear transmission with curve element as the object， general meshing equation of spatial conjugate curves along the designated contact angle position is derived and general expressions of space conjugate curves under internal contact conditions are also obtained. According to space equidistant-enveloping method， conjugate surfaces which inherit the meshing characteristics of spatial conjugate curves are generated and three contact types including convex-to-convex， convex-to-plane and convex-to-concave forms are proposed if changing the relative motion position and equidistant radius. Taking the spatial cylindrical spiral curve as an example， combined with the theoretical analysis results and given design parameters， three-dimensional solid models of internal meshing gear pair with convex-to-concave contact are established. The pressure angle on the tooth surface contact point is defined and calculation method of sliding ratio for the mated tooth surfaces is also put forward in terms of space conjugate curves. Calculation and analysis of the contact locus of conjugated internal meshing tooth surfaces are conducted. Further studies on meshing characteristics， contact mechanics and manufacturing method of tooth profiles will be carried out.

关键词

内啮合曲线元素基本原理齿面成型计算分析

Keywords

Internal meshingCurve elementBasic principleTooth surface generationCalculation and analysis

references

杨传营.双行星排齿轮减速器动态特性的优化设计［D］.贵阳：贵州大学，2010：1-5.

YANG Chuanying.Dual planetary gear reducer dynamic characteristics of the platoon is optimized［D］.Guiyang：Guizhou University，2010：1-5.

LITVIN F L，FUENTES A.Gear geometry and applied theory［M］.Cambridge：Cambridge University Press，2004：304-314.

DEMENEGO A，VECCHIATO D，LITVIN F L，et al.Design and simulation of meshing of a cycloidal pump［J］.Mechanism and Machine Theory，2001，37（3）：311-332.

TUNALIOGLU M S，TUC B.Theoretical and experimental investigation of wear in internal gears［J］.Wear，2014，309（1/2）：208-215.

URIU K，OSAFUNE T，MURAKAMI T，et al.Effects of shaft angle on cutting tool parameters in internal gear skiving［J］.Journal of Mechanical Science and Technology，2017，31（12）：5665-5673.

王延忠，李圆，任少英，等.基于圆弧啮合线内啮合齿轮设计与特性分析［J］.中南大学学报（自然科学版），2018，49（5）：1118-1125.

WANG Yanzhong，LI Yuan，REN Shaoying，et al.Design and analysis of internal gear drive with arc contact path［J］.Journal of Central South University（Science and Technology），2018，49（5）：1118-1125.

王延忠，赵鹏坤，李圆，等.双内啮合行星齿轮传动设计与试验研究［J］.机械传动，2017，41（10）：146-151.

WANG Yanzhong，ZHAO Pengkun，LI Yuan，et al.Design and experimental study of double intermeshing planetary gear transmission［J］.Journal of Mechanical Transmission，2017，41（10）：146-151.

贵新成，詹隽青，叶鹏，等.高重合度内啮合复合摆线齿轮传动设计与分析［J］.机械工程学报，2017，53（1）：55-64.

GUI Xincheng，ZHAN Junqing，YE Peng，et al.Design and analysis of internal compound cycloid gear transmission with high contact ratio［J］.Journal of Mechanical Engineering，2017，53（1）：55-64.

康星虎.内啮合多圆弧齿轮啮合原理及其成形铣刀的设计研究［D］.银川：宁夏大学，2013：18-27.

KANG Xinghu.Multiple-ares internal gear meshing theory and design study of its formed milling cutter［D］.Yinchuan：Ningxia University，2013：18-27.

许爱芬，贾巨民，高波，等.大重合度内啮合齿轮传动设计及试验研究［J］.机械传动，2018，42（6）：176-180.

XU Aifen，JIA Jumin，GAO Bo，et al.Study on design and experiment for internal gear transmission with high contact ratio［J］.Journal of Mechanical Transmission，2018，42（6）：176-180.

魏伟锋，张广鹏，杜真一，等.参数化直线共轭内啮合泵齿廓设计方法［J］.机械工程学报，2014，50（3）：49-55.

WEI Weifeng，ZHANG Guangpeng，DU Zhenyi，et al.Design method of internal rotary gear pump by parameterized line conjugated tooth profile［J］.Journal of Mechanical Engineering，2014，50（3）：49-55.

胡翰林，崔建昆，徐金波.直线共轭内啮合齿轮副齿形参数优化设计［J］.机械传动，2015，39（1）：77-79.

HU Hanlin，CUI Jiankun，XU Jinbo.Optimal design of tooth profile parameter of straight-conjugate internal gear pair［J］.Journal of Mechanical Transmission，2015，39（1）：77-79.

王振，刘忠明.内啮合摆线齿轮泵摆线轮齿廓参数化设计分析［J］.机械传动，2010，34（2）：35-37，40.

WANG Zhen，LIU Zhongming.Parameter design and anlaysis of internal meshing cyclodial gear pump［J］.Journal of Mechanical Transmission，2010，34（2）：35-37，40.

陈兵奎，梁栋，高艳娥.齿轮传动共轭曲线原理［J］.机械工程学报，2014，50（1）：130-136.

CHEN Bingkui，LIANG Dong，GAO Yan'e.The principle of conjugate curves for gear transmission［J］.Journal of Mechanical Engineering，2014，50（1）：130-136.

梁栋.共轭曲线齿轮啮合理论研究［D］.重庆：重庆大学，2015：23-25.

LIANG Dong.Research on meshing theory of conjugate-curve gear transmission［D］.Chongqing：Chongqing University，2015：23-25.

陈兵奎，高艳娥，梁栋.共轭曲线齿轮齿面的构建［J］.机械工程学报，2014，50（3）：18-24.

CHEN Bingkui，GAO Yan'e，LIANG Dong.Tooth profile generation of conjugate-curve gears［J］.Journal of Mechanical Engineering，2014，50（3）：18-24.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Influence of Walker Curve Tooth Root Modification on Thermoelastic Grease Lubrication Characteristics of Large Internal Gears

Related Author

No data

Related Institution

College of Mechanical Engineering, Shenyang University of Technology

⁰