Abstract On this research, the effects of the three different types of blade sections including linear, circular and polynomial on mesh characteristics for face-hobbed hypoid gears are investigated. Firstly, with the equations of three blade sections and the transformation matrixes based on the processing method derived, the mathematical model of gear flank and loaded finite element mesh model are proposed. Then, the impacts of different blade sections on tooth surface deviation and mesh characteristics are analyzed. Results show that the effects are almost identical when the parameters choose reasonable for the three blades. However, with the circular radius reducing, the peak-to-peak value of transmission error decreases but the contact pattern area shrinks and the location of maximum bending stress will change. For the polynomial blade, the effects the design parameters on mesh characteristics are obvious.

中文翻译：

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研究线性、圆形和多项式刀片对双曲面双曲面齿轮接触特性的影响

摘要 在这项研究中，研究了线性、圆形和多项式三种不同类型的叶片截面对双曲面齿轮啮合特性的影响。首先，根据推导出的处理方法，根据三叶截面的方程和变换矩阵，提出齿轮齿面的数学模型和加载有限元网格模型。然后，分析了不同叶片截面对齿面偏差和啮合特性的影响。结果表明，当三个叶片的参数选择合理时，效果几乎相同。然而，随着圆半径的减小，传输误差的峰峰值减小，但接触图案面积缩小，最大弯曲应力的位置将发生变化。对于多项式叶片，