Calculation of Mesh Stiffness for ZC3 Worm Gear and Worm based on the Finite Element Method

Chen Wei; Wang Guomin; Lin Jiajie; Zhang Zhiyong

doi:10.16578/j.issn.1004.2539.2018.01.013

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Calculation of Mesh Stiffness for ZC3 Worm Gear and Worm based on the Finite Element Method

更新时间：2022-10-20

- Calculation of Mesh Stiffness for ZC3 Worm Gear and Worm based on the Finite Element Method
- Vol. 42, Issue 1, Pages: 61-64(2018)
- 作者机构：
  
  1. 中国科学院国家天文台南京天文光学技术研究所
  2. 中国科学院天文光学技术重点实验室
  3. 中国科学院大学
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2018.01.013
  CLC：
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[1]陈伟,王国民,林佳杰,张志永.基于有限元法的ZC3型蜗轮蜗杆啮合刚度计算[J].机械传动,2018,42(01):61-64.

Chen Wei, Wang Guomin, Lin Jiajie, et al. Calculation of Mesh Stiffness for ZC3 Worm Gear and Worm based on the Finite Element Method. [J]. 42(1):61-64(2018)
[1]陈伟,王国民,林佳杰,张志永.基于有限元法的ZC3型蜗轮蜗杆啮合刚度计算[J].机械传动,2018,42(01):61-64. DOI： 10.16578/j.issn.1004.2539.2018.01.013.

Chen Wei, Wang Guomin, Lin Jiajie, et al. Calculation of Mesh Stiffness for ZC3 Worm Gear and Worm based on the Finite Element Method. [J]. 42(1):61-64(2018) DOI： 10.16578/j.issn.1004.2539.2018.01.013.

摘要

蜗轮蜗杆啮合刚度计算是其动力学分析的基础,针对乌兹别克斯坦Maidanak天文台1 m望远镜蜗轮蜗杆传动改造项目,基于ZC3型蜗轮蜗杆加载接触有限元分析原理,提出了ZC3型蜗轮蜗杆时变啮合刚度计算方法,应用有限元软件Workbench构建有限元模型并得到了ZC3型蜗轮蜗杆啮合刚度曲线。计算结果表明,ZC3型蜗杆副啮合曲线具有明显的周期性,啮合刚度的最小值出现在双齿接触区内前1对轮齿退出啮合的位置,最小啮合刚度为104.4 MN·m。啮合刚度的最大值出现在单齿接触区的中部,最大啮合刚度为219.7 MN·m。研究结果为该改造项目后续的动力学分析提供了基础条件。

Abstract

The calculation of the meshing stiffness of the worm gear is the basis of the foundation of dynamics analysis. In view of the Uzbekistan Maidanak observatory 1 m telescope worm gear and worm drive renovation project,based on the theory of finite element analysis for ZC3 worm gear with loaded contact,a method for calculating the time-varying meshing stiffness of ZC3 worm gear is proposed. The finite element model is built by using Workbench and the meshing stiffness curve is obtained. The results show that the meshing curve of ZC3 worm has obvious periodicity. The minimum value of the meshing stiffness is 104. 4 MN·m,which appears at the position where the front pair of teeth exits meshing in the double tooth contact area of the teeth.And the maximum value of the meshing stiffness is 219. 7 MN·m,which appears in the middle of the single tooth contact zone. The basic conditions for the dynamics analysis of reconstruction project is provided by the research result.

关键词

ZC3型蜗轮蜗杆加载接触分析啮合刚度有限元法

Keywords

ZC3 worm gearLoading contact analysisMesh stiffnessFinite element method

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