Mathematical model and geometrical design method of noncircular face gear with intersecting axes

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.

Automated summary

The design method of a noncircular face gear with intersecting axes was established based on the principle of space gear meshing. A generalized approach for designing closed pitch curve of the gear was proposed and a mathematical model was established. Prototype machining and testing confirmed the feasibility of the innovative transmission mechanism and the correctness of the mathematical model.