Research on Calculation Method of Meshing Stiffness of Straight Bevel Gear

Siyu Chen; Rulong Tan; Xiaodong Guo

doi:10.16578/j.issn.1004.2539.2021.09.009

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Research on Calculation Method of Meshing Stiffness of Straight Bevel Gear

Design· Calculation | 更新时间：2022-11-10

- Research on Calculation Method of Meshing Stiffness of Straight Bevel Gear
- Journal of Mechanical Transmission Vol. 45, Issue 9, Pages: 62-67(2021)
- 作者机构：
  
  1.重庆理工大学机械工程学院，重庆 400054
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.09.009
  CLC：
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陈思宇,谭儒龙,郭晓东.直齿锥齿轮啮合刚度计算方法研究[J].机械传动,2021,45(09):62-67.

Chen Siyu,Tan Rulong,Guo Xiaodong.Research on Calculation Method of Meshing Stiffness of Straight Bevel Gear[J].Journal of Mechanical Transmission,2021,45(09):62-67.
陈思宇,谭儒龙,郭晓东.直齿锥齿轮啮合刚度计算方法研究[J].机械传动,2021,45(09):62-67. DOI： 10.16578/j.issn.1004.2539.2021.09.009.

Chen Siyu,Tan Rulong,Guo Xiaodong.Research on Calculation Method of Meshing Stiffness of Straight Bevel Gear[J].Journal of Mechanical Transmission,2021,45(09):62-67. DOI： 10.16578/j.issn.1004.2539.2021.09.009.

摘要

针对直齿锥齿轮啮合刚度的计算问题，将其齿形转换成齿宽中点处的当量直齿圆柱齿形，再把当量齿轮的轮齿简化为齿根圆上的悬臂梁，通过能量法计算分析了单齿啮合刚度；基于位移容差的原理，进一步提出了齿轮时变啮合刚度计算模型；将其与有限元计算结果对比，并分析误差来源，完成了计算方法的验证。文中提出的计算方法不仅进一步丰富和发展了齿轮刚度的计算理论，对齿轮动力学的研究也具有重要意义。

Abstract

Aiming at the calculation problem of straight bevel gear meshing stiffness， to convert the tooth to tooth width of midpoint equivalent straight tooth cylindrical gear， then the equivalent of the gear tooth is simplified to the cantilever beam on the dedendum circle， through the energy method， the single tooth meshing stiffness is calculated the analyzed. Based on the principle of displacement tolerance further gear time-varying meshing stiffness calculation model is put forward. Compared with the finite element results， and the source of the error is analyzed， the verification of the calculation method is completed. The proposed calculation method not only enriches and develops the calculation theory of gear stiffness， but also has important significance to the study of gear dynamics.

关键词

直齿锥齿轮当量直齿圆柱齿轮单齿啮合刚度能量法时变啮合刚度有限元法

Keywords

Straight bevel gearEquivalent spur gearMesh stiffness of single teethEnergy methodTime-varying meshing stiffnessFinite element method

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