Solving Method for the Tooth Mesh Stiffness based on Transmission3D

Weixia Li; Tao Zhang

doi:10.16578/j.issn.1004.2539.2021.08.015

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Solving Method for the Tooth Mesh Stiffness based on Transmission3D

Design· Calculation | 更新时间：2022-11-10

- Solving Method for the Tooth Mesh Stiffness based on Transmission3D
- Journal of Mechanical Transmission Vol. 45, Issue 8, Pages: 105-109(2021)
- 作者机构：
  
  1.中国航发商用航空发动机有限责任公司机械系统部，上海 200241
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.08.015
  CLC：
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李伟霞,张涛.基于Transmission3D的轮齿啮合刚度求解方法[J].机械传动,2021,45(08):105-109.

Li Weixia,Zhang Tao.Solving Method for the Tooth Mesh Stiffness based on Transmission3D[J].Journal of Mechanical Transmission,2021,45(08):105-109.
李伟霞,张涛.基于Transmission3D的轮齿啮合刚度求解方法[J].机械传动,2021,45(08):105-109. DOI： 10.16578/j.issn.1004.2539.2021.08.015.

Li Weixia,Zhang Tao.Solving Method for the Tooth Mesh Stiffness based on Transmission3D[J].Journal of Mechanical Transmission,2021,45(08):105-109. DOI： 10.16578/j.issn.1004.2539.2021.08.015.

摘要

提出了一种基于Transmission3D（T3D）的轮齿啮合刚度求解方法，该方法通过建立半有限元/半接触力学模型，保证齿轮副啮合分析的求解精度和效率。利用该方法求解了典型齿轮副的时变啮合刚度和平均啮合刚度，求解结果与ISO 6336—1996标准误差对比仅为2.6%，证明了求解方法的合理性。针对现有标准的不足，基于T3D研究了轴孔半径对啮合刚度的影响规律;结合一般有限元法进行了影响机理分析，在此基础上给出了航空齿轮系统动力学建模和模态分析时的啮合刚度处理方法。

Abstract

A method is proposed to calculate the tooth meshing stiffness based on Transmission3D （T3D）. FE/CM model is built to ensure the solving accuracy and efficiency. By using this method， the time-varying meshing stiffness and average value of a spur gear pair are both calculated， and the difference is 2.6% compared with the value solved by ISO 6336—1996， the rationality of the solution method is proved. Aiming at the deficiency of existing standards， the influence of shaft hole radius on the meshing stiffness is analyzed based on T3D and the mechanism is discussed combing the general FE method. On this basis， the meshing stiffness treatment method for the dynamics modeling and modal analysis of the aero-gear system is given.

关键词

航空齿轮系统轮齿啮合刚度T3D精度和效率轴孔半径

Keywords

Aircraft gear systemTooth meshing stiffnessT3DAccuracy and efficiencyShaft hole radius

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