Abstract:To study the forming principle of circular arc gear shaped by rotary cutter

get a reliable circular arc gear 3D model to guide the manufacturing processing and simulation calculation

according to the development of the cutter and the gear workpiece

establish a new reference coordinate system

use the basic knowledge of spatial meshing theory and differential geometry

deduced the tooth surface equations of rotating cutter circular arc gear

derived involute tooth profile of the middle section

analyzed the forming principle of rotating cutter circular arc gear

discussed the range of the parameters of the equation

gave the Calculation formulas under given parameters of the gear workpiece rotation angle

got the digital and three-dimensional model of circular arc gear shaped by rotating cutter. It provides a reference for the parameter selection and design of the circular arc gear

and provides the experimental basis for the following simulation and experiment analysis.