承载传动误差最小的高重合度弧齿锥齿轮波动齿面设计

为改善航空弧齿锥齿轮的承载啮合性能，结合ease-off技术提出一种波动齿面设计方法以降低高重合度弧齿锥齿轮的承载传动误差。鉴于中凹型修形曲线（修形齿面的几何传动误差曲线）可极大地减小高重合度弧齿锥齿轮传动的承载传动误差波动幅值，创建一种与高重合度相适应的波动齿面修形模型；结合ease-off技术建立以降低承载传动误差波动幅值为目标的优化模型；通过优化得到具有良好啮合性能的高重合度弧齿锥齿轮。分析发现:优化后2阶传动误差设计弧齿锥齿轮传动的承载传动误差波动幅值降低了34.152%，而由波动齿面设计方法所得改进修形弧齿锥齿轮的承载传动误差进一步降低了61.492%，有效地改善了高重合度弧齿锥齿轮传动性能，为高性能弧齿锥齿轮齿面设计奠定理论基础。 

Wave tooth surface design of high contact ratio spiral bevel gear with minimum loaded transmission error

To improve the meshing performance of spiral bevel gear，a novel wave tooth surface design method was proposed to reduce the loaded transmission error of high contact ratio spiral bevel gear based on the ease-off technology.In view of the fact that the concave transmission error can reduce the loaded transmission error of high contact ratio spiral bevel gear transmission，the wave tooth surface modification model suitable for the high contact ratio was established.Based on the ease-off technology，an optimization model with the pinion processing parameters as the optimization variable was established for reducing the loaded transmission error amplitude，and the spiral bevel gear transmission with good meshing performance was obtained by optimization.Through simulation analysis，it was found that the loaded transmission error amplitude of the optimized high contact ratio spiral bevel gear with second-order parabolic transmission error was reduced by 34.152%，and the loaded transmission error amplitude of the innovative modification spiral bevel gear obtained by the wave tooth surface design method was reduced by 61.492%.Therefore，the wave tooth surface design method proposed can effectively improve the meshing performance of high contact ratio spiral bevel gears，laying a theoretical foundation for tooth surface modification of spiral bevel gear transmission with good meshing performance.