汽车驱动桥准双曲面齿轮时变啮合刚度计算

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摘要针对汽车准双曲面齿轮动力学系统建模中齿轮时变啮合刚度计算困难的问题，本文提出一种完整的基于有限元法计算准双曲面齿轮啮合刚度的计算方法。首先，详细描述利用有限元方法计算齿轮啮合刚度理论模型，并利用此模型计算直齿渐开线齿轮啮合刚度，结果表明此方法计算结果与KUANG模型计算结果一致。然后，利用MATALAB和CATIA建立了准双曲面齿轮三维几何模型，并在ABAQUS中建立此齿轮准静态啮合有限元模型。最后，详细论述了由准双曲面齿轮啮合有限元分析结果后处理得到啮合刚度计算过程，并对不同载荷下齿轮啮合刚度的变化趋势进行讨论。结果表明，准双曲面齿轮啮合过程中啮合刚度随齿轮旋转位置和所加载力矩周期性变化，其变化周期等于齿轮啮合周期；当齿轮加载力增大齿轮啮合刚度平均值增大，同时啮合刚度的波动减小。

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	刘程1
	史文库1
	陈志勇1
	何伟1
	荣如松2
	宋怀兰2

关键词 ：准双曲面齿轮, 时变啮合刚度, 三维模型, 有限元分析

Abstract：

In the automotive driver axle hypoid gear meshing process, it is difficult to calculate the time varying mesh stiffness. To solve this problem, a complete calculation method is proposed, which is based on the finite element method. Firstly, a detailed process was described for the gear mesh stiffness calculation mathematical model, by the finite element method, and the meshing stiffness of the straight involute gear is calculated using this model. The results indicate that this method is consistent with the results of kuang model. Secondly, a three-dimensional model of hypoid gears is built by MATALAB and CATIA, and a quasi static engagement finite element model is established in ABAQUS software for that. Finally, the calculation process has been discussed detailedly for the gear mesh stiffness, and the gear mesh stiffness variations are analyzed under different loading. The results show that the gear mesh stiffness cycle varies with the gear rotating and the load torque changing, and the period of gear meshing stiffness is equal to the period of gear meshing. The average value of the gear meshing stiffness increases and the fluctuation reduces when the gear load torque increases.

Key words： hypoid gear time varying mesh stiffness three-dimensional model finite element analysis

收稿日期: 2016-06-27 出版日期: 2017-10-15

引用本文:

刘程1，史文库1，陈志勇1，何伟1，荣如松2，宋怀兰2. 汽车驱动桥准双曲面齿轮时变啮合刚度计算[J]. 振动与冲击, 2017, 36(20): 240-247.
SHI Wenku1,LIU Cheng1, CHEN Zhiyong1, HE Wei1, RONG Rusong2, Song Huailan2. A Calculation method for the hypoid time varying Stiffness of the Automobile drive axle. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(20): 240-247.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2017/V36/I20/240

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