Design of Uniform Depth Forming Method for HRH Gear with Longitudinal Modification
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摘要: 研究了准双曲面齿轮的节锥和轮齿收缩的形成与演变规律，分析了刀盘半径、齿根角、节锥等参数之间的耦合关系。根据节点纵向变位原理，提出了等高成形法高减比准双曲面(High reduction hypoid，HRH)齿轮的制式设计方法；通过纵向变位系数和刀盘半径的恰当匹配，确定了适合等高成形法HRH齿轮的节锥角、齿根角的几何可行域，其中等径刀盘设计为工程应用提供了便利。给出了3种HRH齿轮等高成形法的几何制式设计样例，完成了3∶60、1∶60两种HRH齿轮加工、滚检与动态性能试验，试验所设计HRH齿轮齿形与啮合关系正确，接触性能良好。证明了所提出的纵向变位HRH齿轮等高成形法设计方法的可行性。Abstract: The formation and evolution of the pitch cone and tooth shrinkage of hypoid gear are studied. The coupling relationship among the parameters such as cutter radius, root angle and pitch cone is analyzed. According to the longitudinal displacement principle of the joint, a design method of high reduction hypoid(HRH) gear with high reduction hypoid gear is proposed. By matching the longitudinal displacement coefficient and the radius of the cutter disc, the geometric feasible region of pitch angle and root angle suitable for the HRH gear with equal height forming method is determined, among them the design of equal diameter cutter head provides the convenience for engineering application. The geometric design examples of three kinds of HRH gear equal high forming method are presented. The machining, rolling inspection and dynamic performance tests of three HRH gears are completed. The gear shape and meshing relationship of HRH gear are correct and the contact performance is good. The feasibility of the design method of the high forming method of the longitudinal variable position HRH gear is proved.
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Key words:
- hypoid gear /
- uniform depth /
- longitudinal displacement /
- forming method
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表 1 纵向变位对齿轮几何形状的影响
纵向变位系数 齿高收缩 节锥角 外径 大轮 小轮 大轮 小轮 增加(+) 减弱 减小 增大 不变 增大 减小(-) 加强 增大 减小 不变 减小 
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表 2 3种齿数比的HRH齿轮基本几何参数
参数名 5∶60 3∶60 1∶60 偏置距/mm 40 45 45 大轮外径/mm 145.08 144.976 144.994 节锥距/mm 62.917 63.099 61.839 节锥角/(°) 70.588 74.266 80.565 齿根角/(°) 1.887 1.742 0.758 小轮外径/mm 39.849 33.836 4 21.789 节锥角/(°) 14.961 11.192 7 6.474 小轮螺旋角/(°) 70 75 82 纵向变位系数 -0.15 0.05 0.0
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