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A fabrication method is adopted for which an imaginary gear simultaneously realizes conjugated meshing with an arc tooth cylindrical gear and an arc tooth face-gear.The cutter fllet and tooth crest edge form the tooth root fllet of the gear,and the linear tooth surface equation of the imaginary gear and the position vector of the curvature center of the cutter fllet are constructed with certain cutter inclination to deduce a working arc tooth surface equation.The tooth root fllet equation of the arc tooth face-gear is derived from the meshing geometry and kinematics.A numerically controlled machining model of the arc tooth face-gear is established through the transformation of adjustment parameters from the cutter-tilt milling machine to a common multi-axis NC machine.Motion parameters of each movement axis of the NC machine are acquired.A processing example is presented to verify the precision of the fabrication method in processing the arc tooth face-gear.The method provides a theoretical and tentative basis for the analysis of tooth surface contact stress,tooth root bending stress and dynamics.A hobbing test is conducted to demonstrate the good meshing condition of the arc tooth face-gear pair.
A fabrication method is adopted for which an imaginary gear simultaneously realizes conjugated meshing with an arc tooth cylindrical gear and an arc tooth face-gear. The cutter fllet and tooth crest edge form the tooth root fl flce of the gear, and the linear tooth surface equation equation of the imaginary gear and the position vector of the curvature center of the cutter fllet are constructed with certain cutter inclination to deduce a working arc tooth surface equation. The tooth root fllet equation of the arc tooth face-gear is derived from the meshing geometry and kinematics. A numerically controlled machining model of the arc tooth face-gear is established through the transformation of adjustment parameters from the cutter-tilt milling machine to a common multi-axis NC machine. Motion parameters of each movement axis of the NC machine are acquired . A processing example is presented to verify the precision of the fabrication method in processing the arc tooth face-gear. Method tical and tentative basis for the analysis of tooth surface contact stress, tooth root bending stress and dynamics. A hobbing test is conducted to demonstrate the good meshing condition of the arc tooth face-gear pair.