Calculation and Analysis of Mesh Stiffness of Spur Gear based on LTCA

Zhengjiu Feng; Guanghu Jin; Rupeng Zhu

doi:10.16578/j.issn.1004.2539.2019.08.014

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Calculation and Analysis of Mesh Stiffness of Spur Gear based on LTCA

Design· Calculation | 更新时间：2022-09-25

- Calculation and Analysis of Mesh Stiffness of Spur Gear based on LTCA
- Journal of Mechanical Transmission Vol. 43, Issue 8, Pages: 78-83(2019)
- 作者机构：
  
  1.南京航空航天大学直升机传动技术试验室，江苏南京 210016
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2019.08.014
  CLC：
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冯正玖,靳广虎,朱如鹏.基于LTCA的直齿轮啮合刚度的计算与分析[J].机械传动,2019,43(08):78-83.

Feng Zhengjiu,Jin Guanghu,Zhu Rupeng.Calculation and Analysis of Mesh Stiffness of Spur Gear based on LTCA[J].Journal of Mechanical Transmission,2019,43(08):78-83.
冯正玖,靳广虎,朱如鹏.基于LTCA的直齿轮啮合刚度的计算与分析[J].机械传动,2019,43(08):78-83. DOI： 10.16578/j.issn.1004.2539.2019.08.014.

Feng Zhengjiu,Jin Guanghu,Zhu Rupeng.Calculation and Analysis of Mesh Stiffness of Spur Gear based on LTCA[J].Journal of Mechanical Transmission,2019,43(08):78-83. DOI： 10.16578/j.issn.1004.2539.2019.08.014.

摘要

采用Matlab软件，运用三维有限元法获得了直齿轮齿面的柔度矩阵，对比分析了三种柔度矩阵的计算方法；建立了直齿轮啮合副的线接触和面接触两种轮齿承载接触分析模型，获得了齿轮副的啮合刚度，并分析了齿轮轮缘厚度、腹板厚度、施加载荷以及不同接触模型对啮合刚度的影响。研究结果表明：两种接触模型情况下获得的啮合刚度误差较小。轮缘厚度较小时，对啮合刚度影响较大；而腹板的厚度对啮合刚度的影响较小。在算例给定的参数下，当轮缘厚度与模数的比值大于3.5左右时，轮缘厚度对啮合刚度的影响趋于平缓。

Abstract

Using Matlab software and three-dimensional finite element method, the flexibility matrix of spur gear tooth surface is obtained, and three calculation methods of matrix are compared and analyzed. The mesh stiffness of spur gear pair is obtained by establishing two kinds of loaded tooth contact analysis (LTCA) models, including line-contact and face-contact model. The effects of wheel flange thickness, web thickness,applied load and different contact models on mesh stiffness are analyzed.The results show that the mesh stiffness difference obtained by two kinds of contact model is small. When the flange thickness is small, the meshing stiffness is greatly affected while the web thickness has little effect on the mesh stiffness. In the given example, the influence of flange thickness on meshing stiffness tends to be gentle when the ratio of flange thickness to modulus is more than 3.5.

关键词

齿轮有限元法啮合刚度LTCA

Keywords

GearFinite element analysisMesh stiffnessLTCA

references

闻邦椿.机械设计手册：单行本：齿轮传动［M］.北京：机械工业出版社，2015：85-88.

WU S H，TSAI S J.Contact stress analysis of skew conical involute gear drives in approximate line contact［J］.Mechanism & Machine Theory，2009，44（9）：1658-1676.

YEH H Y，TSAI S J，KUO R J.Contact characteristics of spur gear pairs with and without tip relieves along and beyond the normal line of action［C］// Proceedings of the 3th IFToMM Asian Conference on Mechanism and Machine Science and 2014 International Conference on Mechanism and Machine Science，2014：1-8.

CONRY T F，SEIREG A.A mathematical programming method for design of elastic bodies in contact［J］.Journal of Applied Mechanics，1971，38（2）：387.

CONRY T F，SEIREG A.A mathematical programming technique for the evaluation of load distribution and optimal modifications for gear systems［J］.Journal of Engineering for Industry，1973，95（4）：1115.

YE S Y，TSAI S J.A computerized method for loaded tooth contact analysis of high-contact-ratio spur gears with or without flank modification considering tip corner contact and shaft misalignment［J］.Mechanism & Machine Theory，2016，97：190-214.

刘伟平.人字齿星型齿轮传动系统动态效率研究［D］.南京：南京航空航天大学机电学院，2017：8-27.

CHANG L，LIU G，WU L.A robust model for determining the mesh stiffness of cylindrical gears［J］.Mechanism & Machine Theory，2015，87：93-114.

卜忠红，刘更，吴立言.斜齿轮啮合刚度变化规律研究［J］.航空动力学报，2010（4）：957-962.

何穷.一个改进的八节点三维非协调等参元［J］.上海交通大学学报，1981（4）：105-114.

鹿晓阳，刘玉文，许焕然，等.Wilson非协调元的研究与改进［J］.力学学报，1989，21（3）：379-384.

TAYLOR R L，BERESFORD P J，WILSON E L.A non‐conforming element for stress analysis［J］.International Journal for Numerical Methods in Engineering，1976，10（6）：1211-1219.

常乐浩，刘更，郑雅萍，等.一种基于有限元法和弹性接触理论的齿轮啮合刚度改进算法［J］.航空动力学报，2014，29（3）：682-688.

刘更.一种确定内啮合和外啮合斜齿圆柱齿轮荷载分布的有效方法［J］.机械工程学报，1991，27（3）：20-26.

方宗德.齿轮轮齿承载接触分析（LTCA）的模型和方法［J］.机械传动，1998（2）：1-3.

LI S T.Gear contact model and loaded tooth contact analysis of a three-dimensional，thin-rimmed gear［J］.Journal of Mechanical Design，2002，124（3）：511-517.

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