A method of obtaining conjugate tooth profile

Abstract

The invention discloses a method for obtaining a conjugate tooth profile, which comprises the following steps of: equally dividing a tooth profile curve N parts to obtain N-1 curve sections, wherein the curve section between two adjacent discrete points is regarded as an arc; determining coordinates and a normal vector of each discrete point according to the tooth profile curve equation, taking the normal intersection point as the center of a circle of an arc between adjacent discrete points, taking the distance from the normal intersection point to one of the discrete points as the radius ofthe arc, and taking the end point of the tooth profile curve as the Nth arc with the radius of 0; solving a rotation curve and performing equidistant offset on the rotation curve along the normal direction of each discrete point; solving an intersection point of two adjacent rotation curve equidistant offset lines, and intercepting a curve segment of the rotation curve equidistant offset lines between the two adjacent intersection points to form a conjugate tooth profile. According to the method, the conjugate tooth profile is obtained by adopting a rotation curve equidistant offset method, the problem of singular points is avoided, the envelope point and the meshing equation do not need to be solved, the calculation process is simple, and obvious advantages are achieved when the gear withthe small curvature radius change rate of the tooth profile curve is calculated.

Description

technical field [0001] The invention relates to the technical field of gear design, and relates to a calculation method for a conjugate tooth profile. Background technique [0002] The cycle curve is an important concept in the conjugate tooth shape. It refers to the curve formed by the motion trajectory of the point under the given motion relationship. The cycle curve in the common gear transmission form can be divided into four categories: 1) The cycle curve is involute The involute is the trajectory of a certain point on a straight line in the process of pure rolling on a straight line; 2) the cycle curve is a cycloid, and the cycloid is the trajectory of a certain point on a circle in the process of pure rolling on a straight line. ; 3) the cycle curve is an epicycloid, and the epicycloid is the trajectory line of a certain point on a pure rolling circle outside another circle; 4) the cycle curve is a hypocycloid, and the hypocycloid is a circle inside another circle Ma...

AI Technical Summary

Problems solved by technology

[0005] In view of this, the present invention provides a method for obtaining the conjugate tooth shape to solve the problem that the traditional conjugate tooth shape calculation method will have a singular point, resulting in discontinuous or even unsolvable conjugate tooth shape.

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