Influences of Crack Faults on TVMS of Gear Teeth

doi:10.3969/j.issn.1004-132X.2022.16.002

Abstract

Abstract: Aiming at the decreases of TVMS caused by cracks, the influence laws of crack faults on TVMS were studied. Firstly, the complete tooth profile curve was constructed. The influences of the coupling effects of adjacent teeth on TVMS were analyzed. The calculation formula of TVMS was modified based on the traditional potential energy method. Secondly, the location of crack initiation points was determined by FEM. A crack curve extending along the depth was proposed. The effects of crack depth on TVMS and load sharing ratio were analyzed. A model of mid-early fault cracks with both of length and depth was studied. Finally, the models of different fault gear pairs were constructed. FEM was used to verify the results of cracks along the depth. The results show that the potential energy method is consistent with the FEM.

Key words: crack, time-varying mesh stiffness(TVMS), potential energy method, fault model, finite element method(FEM)

摘要： 针对裂纹引起齿轮时变啮合刚度（TVMS）减小这一现象，研究了裂纹故障对TVMS的影响规律。首先，构建了完整的轮齿齿廓曲线，基于传统势能法分析了相邻齿耦合效应对TVMS的影响，对TVMS计算公式进行修正。其次，采用有限元法确定了裂纹萌生点所在位置，提出了一种沿深度拓展的裂纹曲线，分析了裂纹深度对TVMS和负载分担比的影响，研究了裂纹同时沿深度与长度方向拓展的中早期故障模型。最后，构建了不同故障齿轮副模型，采用有限元法对裂纹沿深度结果进行验证，结果表明势能法与有限元法相吻合。

关键词: 裂纹, 时变啮合刚度, 势能法, 故障模型, 有限元法

CLC Number:

TH132.4

MENG Zong, LI Jiasong, PAN Zuozhou, PANG Xiushen, CUI Lingli, FAN Fengjie. Influences of Crack Faults on TVMS of Gear Teeth[J]. China Mechanical Engineering, 2022, 33(16): 1897-1905，1911.

孟宗, 李佳松, 潘作舟, 庞修身, 崔玲丽, 樊凤杰. 裂纹故障对轮齿时变啮合刚度的影响分析[J]. 中国机械工程, 2022, 33(16): 1897-1905，1911.

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