中文摘要：

为获得给定设计重合度和实际载荷工况下传动误差的不同啮合转换点幅值和最小波动量，提出了小轮采用变性法加工的弧齿锥齿轮四阶传动误差设计方法。通过改变接触迹线方向和参考点位置来获得齿轮副预置重合度和啮合位置对称；预置四阶传动误差的表达式，由逆轮齿接触分析（TCA）方法获得相应的高阶变性系数。算例分析结果表明：调整滚比多项式的前四项系数，可以获得不同啮合转换点幅值的四阶传动误差，并对承载传动误差的波动量及所对应的载荷产生影响；四阶传动误差是通过控制齿面相对修形量来实现的。

英文摘要：

In order to obtain the amplitudes of different meshing transfer points and the minimum fluctuation of the transmission error under a given predesigned contact ratio and applied load,a design method of the fourth-order transmission error is proposed for the spiral bevel gears being cut via the modified roll method on the pinion.In the investigation,a symmetrical design of meshing position with predesigned contact ratio of spiral bevel gears is achieved by adjusting the direction of the contact path and the location of the reference point.Then,a high-order degeneration coefficient is deduced by means of the anti-TCA （Tooth Contact Analysis）method with a pre-designed expression of the fourth-order transmission error.Numerical results show that the fourth-order transmission errors with different amplitudes of meshing transfer points can be obtained by adjusting the former four coefficients of the polynomial,which affects the fluctuation of the loaded transmission error and the corresponding applied load;and that the fourth-order transmission error is controlled by the ease-off of the pinion surface.