A method for extracting a gear tooth profile edge based on an engagement-pixel image edge tracking method includes defining a transmission ratio relationship between a cutter and an envelope tooth profile, setting a cutter profile step size and an envelope step size, acquiring instantaneous contact images at different engaging times, and performing a binarization processing on each curve envelope cluster image; sweeping a boundary of an envelope curve cluster, acquiring pixel points of the edge; preliminarily tracking a tooth profile edge, and then performing a secondary extraction and compensation on the pixel points; calibrating coordinates of a cutter profile; extracting a pixel coordinate of an instantaneous engaging point; converting the pixel points among different instantaneous engaging images; extracting a final tooth profile coordinate of the gear, and performing a tooth shape error analysis and a contact line error analysis.

A method for extracting a gear tooth profile edge based on an engagement-pixel image edge tracking method includes defining a transmission ratio relationship between a cutter and an envelope tooth profile, setting a cutter profile step size and an envelope step size, acquiring instantaneous contact images at different engaging times, and performing a binarization processing on each curve envelope cluster image; sweeping a boundary of an envelope curve cluster, acquiring pixel points of the edge; preliminarily tracking a tooth profile edge, and then performing a secondary extraction and compensation on the pixel points; calibrating coordinates of a cutter profile; extracting a pixel coordinate of an instantaneous engaging point; converting the pixel points among different instantaneous engaging images; extracting a final tooth profile coordinate of the gear, and performing a tooth shape error analysis and a contact line error analysis.

A cutter head (40) having cutting blade positioning slots (50, 52) wherein a portion of the positioning slots accommodate cutting blades (42) for right-hand cutting and another portion of the positioning slots accommodate cutting blades (46) for left-hand cutting.

A bevel gear manufacturing face cutter head (2) for face hobbing and face milling wherein the face cutter head includes a positive blade seating and stick-type rectangular or square cross-section cutting blades (6) are clamped tight to the positive seating surfaces (14, 18). The cutting blades are adjustable radially by axial movement by a non-self-locking system.

A gear includes teeth 3 to be engaged with teeth of a corresponding gear to transmit a rotational motion, in which a form (b) of a tooth root side of each tooth 3 includes: a first curved surface c which smoothly connects with a tooth surface a having an involute curve and has a profile represented by a curve which is convex in a direction opposite to the involute curve of the tooth surface a; and a second curved surface d which smoothly connects with the first curved surface c and has a profile defined by a quadratic function having a curve being convex in the same direction as that of the first curved surface c. Therefore, a stress generated on the tooth root side at the time of engagement with the teeth of the corresponding gear can be reduced, and the strength of the teeth can be increased.