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以全展成法加工的摆线齿锥齿轮为研究对象,以获得中部较平坦的高阶传动误差曲线为目标,提出了一种齿廓修形方法,即将刀廓曲线设计为四阶曲线,而不改变切齿过程中产形运动关系,在传统的机械摇台式机床上即可实现齿廓修形。利用优化算法对修形齿面进行了数值计算,并进行了齿面修形数值仿真。在建立摆线齿锥齿轮啮合数学模型的基础上,对修形齿面进行了齿面接触分析。算例分析表明,通过合理选取各阶修形系数可以获得高阶传动误差曲线和所需的齿面接触印痕。与传统的抛物线形状传动误差相比,高阶传动误差曲线幅值小,转换点处两切线夹角大,能有效减少齿轮副在轻载运行下的振动和冲击、降低噪声。
Aiming at the relatively flat high-order transmission error curve in the middle part, a method of tooth profile modification is proposed, which is to design the profile curve as a fourth-order curve, Without changing the relationship between the progenies in the process of cutting teeth, the tooth profile modification can be realized on a traditional mechanical shaking table machine tool. The optimized tooth surface is numerically calculated and optimized by numerical simulation. Based on the establishment of the meshing mathematical model of cycloidal bevel gear, the tooth surface contact analysis was carried out on the modified tooth surface. The case study shows that the higher-order transmission error curve and the required tooth-surface contact impression can be obtained by reasonably choosing the modification coefficients of each step. Compared with the traditional parabolic shape transmission error, the high-order transmission error curve has a small amplitude and the angle between the two tangent lines at the conversion point is large, which can effectively reduce the vibration and impact of the gear pair under light-load operation and reduce the noise.