中国机械工程

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Ease-off拓扑修正的准双曲面齿轮齿面修形方法

聂少武1,2;蒋闯2;邓效忠2;苏建新2;杨建军1;王建华3   

  1. 1.河南科技大学机电工程学院,洛阳,471003
    2.河南科技大学机械装备先进制造河南省协同创新中心,洛阳,471003
    3.拖拉机动力系统国家重点实验室,洛阳,471039
  • 出版日期:2019-11-25 发布日期:2019-11-26
  • 基金资助:
    国家自然科学基金资助项目(51705134,51775171,51705135);
    河南省科技攻关项目(182102210287,192102210057);
    河南科技大学博士科研启动基金资助项目(13480004);
    拖拉机动力系统国家重点实验室开放课题资助项目(AKT2019001)

Flank Modification Method of Hypoid Gears with Ease-off Topology Correction

NIE Shaowu1,2;JIANG Chuang2;DENG Xiaozhong2;SU Jianxin2;YANG Jianjun1;WANG Jianhua3   

  1. 1.School of Mechatronics Engineering, Henan University of Science and Technology,Luoyang,Henan,471003
    2.Advanced Manufacturing Machinery and Equipment in Henan Province Collaborative Innovation Center,Henan University of Science and Technology, Luoyang,Henan,471003
    3.State Key Laboratory of Power System of Tractor, Luoyang, Henan,471039
  • Online:2019-11-25 Published:2019-11-26

摘要: 为了提升驱动桥准双曲面齿轮传动的啮合性能,针对准双曲面齿轮刀倾半展成法(HFT)提出一种Ease-off拓扑修正方法。在建立齿面共轭啮合数学模型的基础上,推导出小轮基准齿面方程,通过计算小轮实际齿面与基准齿面之间的偏差,构建出Ease-off拓扑。借助二阶多项表达式对Ease-off拓扑分解,计算出齿面失配系数,通过调整齿面失配系数构建出修正Ease-off拓扑。通过比较当前Ease-off拓扑与修正Ease-off拓扑,消除小轮当前齿面与修正齿面之间的偏差,反求出小轮加工参数。最后以一对准双曲面齿轮为例进行齿面拓扑修形与磨齿加工,实际齿面印痕与仿真结果一致,验证了齿面拓扑修形方法的有效性。齿面加载接触分析结果表明,修形后齿面接触应力分布得到了改善,实际载荷下齿面接触重合度增加,从而验证了修形方案的合理性。

关键词: 准双曲面齿轮, 共轭齿面, Ease-off修正, 拓扑修形, 加载接触分析

Abstract: In order to improve meshing performance of drive bridge hypoid gears, a kind of Ease-off topology modification method was proposed for hypoid gears with HFT method. On the basis of establishing conjugate mesh mathematical model, the pinion base tooth flank equation was derived by means of calculating the deviations between the pinion actual tooth flank and pinion base tooth flank, and the Ease-off topology was constructed. The Ease-off topology was decomposed by means of second-order surface approximation, and the tooth flank mismatch factors were calculated, and the modified Ease-off topology was established after correcting mismatch factors. After comparing the current Ease-off topology and the modified Ease-off topology and correcting the deviations between the pinion current flank and the pinion modified flank, the pinion correction processing parameters were obtained. Finally, taking a pair of hypoid gear for example, the flank topology modification and grinding experiments were executed, and the validity of tooth flank topology modification was verified because of the real contact pattern coinciding with the meshing simulation results. The load tooth contact analysis results indicate that the modified tooth flank contact stress distribution is improved and the actual tooth contact ratios under loads are increased, so the validity of modification project is verified.

Key words: hypoid gear, conjugate tooth flank, Ease-off correction;topology modification, load contact analysis

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