Meshing Stiffness Calculation of Spur Bevel Gears Considering the Tooth Pair Coupling

Li Feifei; Dong Huimin; Zhang Chu

doi:10.16578/j.issn.1004.2539.2023.12.008

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Meshing Stiffness Calculation of Spur Bevel Gears Considering the Tooth Pair Coupling

Design· Calculation | 更新时间：2023-12-21

- Meshing Stiffness Calculation of Spur Bevel Gears Considering the Tooth Pair Coupling
- Journal of Mechanical Transmission Vol. 47, Issue 12, Pages: 53-59(2023)
- 作者机构：
  
  大连理工大学机械工程学院，辽宁　大连　116024
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2023.12.008
  CLC：
- Published：15 December 2023，
  
  Received：26 September 2022，
  
  Revised：14 October 2022，
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李菲菲,董惠敏,张楚.考虑齿对耦合的直齿锥齿轮啮合刚度计算方法[J].机械传动,2023,47(12):53-59.

Li Feifei,Dong Huimin,Zhang Chu.Meshing Stiffness Calculation of Spur Bevel Gears Considering the Tooth Pair Coupling[J].Journal of Mechanical Transmission,2023,47(12):53-59.
李菲菲,董惠敏,张楚.考虑齿对耦合的直齿锥齿轮啮合刚度计算方法[J].机械传动,2023,47(12):53-59. DOI： 10.16578/j.issn.1004.2539.2023.12.008.

Li Feifei,Dong Huimin,Zhang Chu.Meshing Stiffness Calculation of Spur Bevel Gears Considering the Tooth Pair Coupling[J].Journal of Mechanical Transmission,2023,47(12):53-59. DOI： 10.16578/j.issn.1004.2539.2023.12.008.

摘要

为了解决直齿锥齿轮时变啮合刚度计算效率和准确性问题，提出了一种考虑齿对耦合效应的直齿锥齿轮啮合刚度切片计算方法。基于切片离散方法，将锥齿轮轮齿和轮体分别沿齿宽方向和轴线方向离散为若干宽度相等的薄片，并基于背锥等效原理将薄片展开，当薄片宽度足够小时，锥齿轮可近似为一系列直齿圆柱齿轮，可通过能量法计算各薄片啮合刚度；为考虑多齿啮合时齿对间耦合效应，在双齿啮合刚度计算中引入轮体刚度修正系数，减少了双齿啮合刚度计算误差；建立误差状态下锥齿轮啮合刚度模型，计算了理想和装配误差条件下直齿锥齿轮啮合刚度、各薄片中心点角位移与齿面载荷分布；最后，通过与有限元计算结果对比，验证了本文方法的准确性和高效性。

Abstract

In order to solve the problem of calculation efficiency and accuracy of time-varying meshing stiffness of spur bevel gears

a slice calculation method of meshing stiffness of spur bevel gears considering the coupling effect of tooth pairs is proposed. Based on the slice discretization method

the bevel gear tooth and the gear body are discretized into several slices with the same width along the tooth width direction and the axis direction respectively

and the slices are expanded based on the back cone equivalence principle. When the slice width is small enough

the bevel gear can be approximated as a series of spur gears

and the meshing stiffness of each slice can be calculated by the energy method. In order to consider the coupling effect of multi-tooth meshing

the correction coefficient of gear stiffness is introduced in the calculation of double tooth meshing stiffness

which reduces the calculation error of double tooth meshing stiffness. The meshing stiffness model of bevel gears under the error condition is established. The meshing stiffness of spur bevel gears

the angular displacement of the center point of each slice and the load distribution of the tooth surface under the ideal and assembly error conditions are calculated and analyzed. Finally

the accuracy and efficiency of the proposed method are verified by comparing with the finite element calculation results.

关键词

直齿锥齿轮时变啮合刚度切片方法齿对耦合装配误差

Keywords

Spur bevel gearTime-varying meshing stiffnessSlicing methodTooth pair couplingAssembly error

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