交错轴渐开线变厚齿轮传动节圆锥设计

基于空间齿轮啮合原理，建立交错轴渐开线变厚齿轮传动节圆锥设计模型，推导空间点接触到线接触的转变计算条件，提出小轴交角交错轴变厚齿轮传动直接设计法和间接设计法，分析设计参数对啮合主方向角的影响；采用有限单元法分析计算齿轮副的啮合特性，表明节锥角对啮合主方向角影响较大，齿线倾斜角对其影响较小；啮合主方向角的增加使得接触面积减小，角度传动误差增大，啮合刚度减小等结论；最后通过试验验证研究方法和理论计算结果的正确性，对交错轴渐开线变厚齿轮副几何参数的匹配设计及优化具有重要的指导意义。

Research on pitch cone design for beveloid gears with crossed axes

Based on the spatial gearing theory, the mathematical model for working pitch cone design of crossed beveloid gears is created. The formulas to determine the transition from point contact to line contact are derived. The direct and in direct methods for pitch cone design of crossed beveloid gears are proposed. The effects of gearing parameters on the angle between the first principle directions are analyzed. The loaded tooth contact analysis is performed using FEM theory. The conclusion indicates that: the angle between the first principle directions is more sensitive to cone angles than to the helix angle. The increase of the angle between the first principle directions can obtain smaller contact area, higher transmission error and lower mesh stiffness. A practical tooth bearing test is conducted to demonstrate the proposed design procedure and the experimental result compared well with the simulation. For the matching design and optimization of beveloid gears, it has both the theoretical and project practical significance.