Research of the Influence of Spur Gear Tooth Bilateral Crack on Its Stiffness

Junjie Lai; Yanxue Wang; Chaoyang Jiang

doi:10.16578/j.issn.1004.2539.2021.04.004

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Research of the Influence of Spur Gear Tooth Bilateral Crack on Its Stiffness

Theory·Reserach | 更新时间：2022-11-10

- Research of the Influence of Spur Gear Tooth Bilateral Crack on Its Stiffness
- Journal of Mechanical Transmission Vol. 45, Issue 4, Pages: 20-28(2021)
- 作者机构：
  
  1.桂林电子科技大学机电工程学院，广西桂林 541000
  2.北京建筑大学机电与车辆学院，北京 100044
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.04.004
  CLC：
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赖俊杰,王衍学,蒋超阳.直齿轮轮齿双侧裂纹对其刚度影响的研究[J].机械传动,2021,45(04):20-28.

Lai Junjie,Wang Yanxue,Jiang Chaoyang.Research of the Influence of Spur Gear Tooth Bilateral Crack on Its Stiffness[J].Journal of Mechanical Transmission,2021,45(04):20-28.
赖俊杰,王衍学,蒋超阳.直齿轮轮齿双侧裂纹对其刚度影响的研究[J].机械传动,2021,45(04):20-28. DOI： 10.16578/j.issn.1004.2539.2021.04.004.

Lai Junjie,Wang Yanxue,Jiang Chaoyang.Research of the Influence of Spur Gear Tooth Bilateral Crack on Its Stiffness[J].Journal of Mechanical Transmission,2021,45(04):20-28. DOI： 10.16578/j.issn.1004.2539.2021.04.004.

摘要

齿轮副的时变啮合刚度（Time-varying meshing stiffness，TVMS）是机械动力学分析中一个极为重要的参数，其准确程度直接影响着动力学分析结果的准确性。首先，从理论角度推导了剪切刚度的计算公式，并在案例分析中应用，将求得结果与有限元分析结果进行对比，结果显示相差较小；然后，建立了一种新的裂纹故障模型——轮齿双侧非对称裂纹模型；在基于精确全齿廓的能量法基础上，推导了轮齿双侧裂纹模型的时变啮合刚度计算公式，分析了裂纹形状参数对时变刚度的影响；最后，通过有限元法（Finite element method，FEM）进行了分析验证。结果表明，有限元法和能量法计算的结果基本一致。

Abstract

The time-varying meshing stiffness （TVMS）of gear pair is a major parameter of mechanical dynamics analysis， and its accuracy directly affects the accuracy of dynamics analysis results. At first， the formula for computation of shear stiffness is derived theoretically， and it is applied in the case analysis， the obtained result is compared with and the result of finite element analysis， the result shows that the difference is small. Then， a kind of new crack failure model is established， which is called the gear tooth bilateral asymmetrical crack model. On the basis of the energy method based on the accurate full tooth profile， the calculation formula of TVMS of gear tooth bilateral asymmetrical crack model is derived. Then influence of crack shape on TVMS is analyzed. At last， the analysis validation is carried out by finite element method （FEM）， and the results indicate， the results of finite element method and energy method are basically the same.

关键词

时变啮合刚度非对称裂纹模型精确全齿廓能量法有限元法

Keywords

TVMSAsymmetrical crack modelAccurate full tooth profileEnergy methodFEM

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