The meshing principle of staggered-axis helical gears is widely used in gear processing and measurement

The meshing principle of staggered-axis helical gears is widely used in gear processing and measurement, and its characteristic is that the gear pair satisfies the point meshing principle.The contact trace is a collection of instantaneous meshing points on its profile, which is a reflection of the essential properties of the meshing of staggered-axis helical gears.Using the circular vector function and the medium rack as tools, the contact trace equation is deduced and the properties of the contact fan are discussed.The essence of gear machining and measurement based on the principle of point meshing is revealed, and the application of contact traces in gear machining and measurement is expounded