In order to establish the design method of a noncircular face gear (NFG) with intersecting axes, the meshing theory of this gear is investigated based on the principle of space gear meshing. A generalized approach for designing closed pitch curve of the NFG with intersecting axes was proposed based on Fourier series. The mathematical model of the NFG generated by a shaper cutter was established. The fundamental design parameters of the gears were defined, with the principle for determining their values discussed. The prototype of a NFG was machined by 5-axis CNC milling and the motion rule was tested. Experimental results verify the feasibility of the innovative transmission mechanism and the correctness of the mathematical model of NFG with intersecting axes.

为了建立具有相交轴线的非圆齿轮的设计方法，基于空间齿轮啮合原理研究了该齿轮的啮合原理。提出了一种基于傅里叶级数的通用设计交汇的闭式节距曲线的通用方法。建立了整形刀具产生的NFG的数学模型。定义了齿轮的基本设计参数，并讨论了确定其值的原理。NFG的原型通过5轴CNC铣削加工，并测试了运动规则。实验结果验证了新型传动机构的可行性以及具有相交轴的NFG数学模型的正确性。