The invention discloses a
point contact shape correcting method of a Niemain worm gear. The method includes the steps that S1, an original precise model is established; S2, coordinates of a central point of an exit region and the normal vector of the
tooth surface of the point are acquired; S3, a tangent plane of the
tooth surface of the worm gear is established by passing the central point of the exit region, and a coordinate
system is established on the plane; S4, points on the
tooth surface of the worm gear are projected on the tangent plane; S5, projection point coordinates are substituted into a shape correcting amount equation to obtain the shape correcting amount of projected points; S6, the points on the tooth surface of the worm gear deviate into gear teeth along the normal vectors of the tooth surfaces of the points; S7, the deviating points are fit into a
smooth surface, namely a shape-corrected tooth surface in a high order mode; S8, the shape-corrected tooth surface and the original tooth surface are subjected to deviation comparison in three-dimensional
software, if spots meet requirements, the operation is completed, or else, shape correcting amount equation coefficients in S5 are adjusted, and S5 to S8 are repeated. The method has the advantages that the sensitivity of the tooth surface of the Niemain worm gear to errors and tooth surface contact
stress concentration are effectively improved, drive precision is improved, and the vibration and
noise level of engagement is reduced.