Method for profiling spherical involute spiral bevel gear

Abstract

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.

Description

technical field [0001] The invention relates to a method for modifying spherical involute spiral bevel gears. Background technique [0002] Compared with straight bevel gears, spiral bevel gears have the advantages of large coincidence, high load capacity, stable transmission, and high strength. The spiral bevel gear launched by American Gleason Company is the most widely used spiral bevel gear at present, but it also has the following problems: on the one hand, it is limited by the processing principle, and the tooth profile of the gear is not a spherical involute tooth profile , that is, the tooth surfaces of the two wheels before the modification are not completely conjugate, and there is a principle error; on the other hand, limited by the Gleason special plane and its tool structure, the gear modification is extremely complicated, and complex machine tools and tools are required. Adjustment and repeated trial cutting and inspection, the production preparation time of t...

AI Technical Summary

Problems solved by technology

The spiral bevel gear launched by Gleason Company of the United States is the most widely used spiral bevel gear at present, but it also has the following problems: on the one hand, it is limited by the processing principle, and the tooth profile of the gear is not a spherical involute tooth profile , that is, the tooth surfaces of the two wheels before modification are not completely conjugate, and there is a principle error; on the other hand, limited by the Gleason special plane and its tool structure, the gear modification is extremely complicated, and complex machine tools and tools are required. Adjustment and repeated trial cutting and inspection, the production preparation time of the gear is long, and the interchangeability of the gear is poor

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