The invention discloses a method for profiling a spherical
involute spiral bevel gear. The method is characterized by comprising the steps that S1, a
mathematical model of a spherical
involute spiralbevel gear pair is established; S2, a
tooth surface equation of a
concave surface and a convex surface of a pair of meshing gears is derived; S3, a tangent plane of the position, at the center point,of the
tooth surface is established, and a plane coordinate
system is established on the tangent plane; S4, a point on the
tooth surface is projected to a the tangent plane, and the coordinate of theprojected point in the tangent plane coordinate
system is obtained; S5, the coordinate of the projected point in the S4 is substitute to a shape correction equation to obtain the correction amount ofeach point on the tooth surface; S6, the point on the tooth surface in the S2 is shifted towards the interior of the gear teeth along the tooth surface normal vector at the point; S7, the point cloudobtained after shifting in S6 undergoes high order fitting to form a
smooth surface; and S8, a shape correction three-dimensional model of the
spiral bevel gear is established on the basis of the profiling tooth surface. The method has the beneficial effects that a very smooth profiling tooth surface can be obtained, full controllable shape correction is achieved, and the
transmission quality of the gear pair is effectively guaranteed.