高重合度弧齿锥齿轮高阶传动误差设计与分析

Design and analysis of high-order transmission error for high contact ratio spiral bevel gears

为减少高重合度弧齿锥齿轮的振动和噪声,提出基于齿面曲率修正方法的高阶传动误差设计.首先,根据预设高阶传动误差曲线和齿面接触印痕,对与配对大轮完全共轭的小轮齿面进行修形,获得小轮目标齿面;然后,建立基于齿面曲率修正方法的小轮齿面数学模型;最后,建立齿面优化模型,并利用第二代非支配排序遗传算法（NSGA-II）反求与目标齿面高度逼近的小轮齿面曲率修正系数.算例表明：通过齿面曲率修正方法能够获得满足设计要求的高阶传动误差;与传统的传动误差相比,高阶传动误差在降低高重合度弧齿锥齿轮的承载传动误差的同时可以改善齿轮副的载荷分布,改善齿轮副的啮合性能.

To reduce vibration and noise of high contact ratio spiral bevel gears,higher-order transmission error was designed based on the modified curvature motion method.First,based on the predesigned higher-order transmission error curve and contact pattern,the pinion target tooth surface was acquired by modifying the conjugated tooth surface derived from the mating gear.Second,the mathematical model of pinion tooth surface based on the modified curvature motion method was established.Finally,an optimization model solved by non-dominated sorting genetic algorithm II（NSGA-II） was proposed to solve the parameters of the modified curvature motion correction.Example shows that the higher-order transmission error can meet the design requirements by the modified curvature motion method.Compared with the traditional transmission error,the high-order transmission error not only can decrease the load transmission error of high contact ratio spiral bevel gear,but also improve the stress distribution,improving the meshing performance of gear pair.