Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring

Yuqi Wang; Xiaoxia Chen; Jingzhong Xing; Yunpeng Yao

doi:10.16578/j.issn.1004.2539.2021.12.002

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Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring

Theory·Reserach | 更新时间：2022-09-15

- Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring
- Journal of Mechanical Transmission Vol. 45, Issue 12, Pages: 8-14(2021)
- 作者机构：
  
  1.天津工业大学机械工程学院，天津 300387
  2.天津工业大学天津市现代机电装备技术重点实验室，天津 300387
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.12.002
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王玉琦,陈晓霞,邢静忠等.变厚度齿圈柔轮空间变形规律研究[J].机械传动,2021,45(12):8-14.

Wang Yuqi,Chen Xiaoxia,Xing Jingzhong,et al.Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring[J].Journal of Mechanical Transmission,2021,45(12):8-14.
王玉琦,陈晓霞,邢静忠等.变厚度齿圈柔轮空间变形规律研究[J].机械传动,2021,45(12):8-14. DOI： 10.16578/j.issn.1004.2539.2021.12.002.

Wang Yuqi,Chen Xiaoxia,Xing Jingzhong,et al.Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring[J].Journal of Mechanical Transmission,2021,45(12):8-14. DOI： 10.16578/j.issn.1004.2539.2021.12.002.

摘要

鼓形齿可改善齿面间的啮合状态，提高谐波齿轮的负载能力。为揭示鼓形径向修形形成的变厚度齿圈柔轮的变形规律，提出了变中面半径齿圈的空间变形理论计算方法。推导出轴向中面半径变化的齿圈中线的径向、周向及转角位移公式。建立了包含真实齿廓的参数化实体单元杯形柔轮有限元模型，通过接触分析计算了齿圈轴向前、中、后横截面内的中线变形；齿圈各截面的有限元结果与理论值吻合良好。通过与等厚度齿圈模型对比，研究了变厚度齿圈的空间变形特征。结果表明，变厚度齿圈加剧了母线的非线性特征；从中截面到后截面的长轴区母线和从前截面到中截面的短轴区的母线非线性特征更显著。

Abstract

Crowned tooth can improve the meshing state between tooth surfaces and enhance the load capacity of harmonic gears. In order to reveal the deformation law of the flexspline with variable thickness of tooth ring formed by the radial modification of drum shape，a theoretical method of spatial deformation of the gear with variable neutral layer radius is proposed. The formulas of radial，circumferential and angular displacements of the neutral line of the gear ring with the axial midface radius changing are derived. A parametric solid unit element finite element model of cup type flexspline with real tooth profile is established，and the neutral line deformation in the forward，middle and back cross sections of the tooth ring is calculated by contact analysis. The finite element results of each section of the tooth ring agree well with the theoretical values. The spatial deformation characteristics of variable thickness tooth ring are studied by comparing with the model of equal thickness tooth ring. The results show that the nonlinear characteristics of the generatrix are aggravated by the variable thickness ring. The nonlinear characteristics of the generatrix in the long axis region from the middle section to the back section and the generatrix in the short axis region from the front section to the middle section are more significant.

关键词

变厚度齿圈柔轮谐波齿轮空间变形实体单元有限元模型

Keywords

Variable thickness tooth ringFlexsplineHarmonic gearSpatial deformationSolid unit finite element model

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