Acquisition Method of Tooth Surface Parameters in Hobbing under Force-induced Error

Abstract

The invention provides a method for obtaining the parameter of gear hobbing tooth surface under the force-induced error. The method comprises the following steps: (1) the error value delta a of the shortest distance between a workpiece main shaft and a hob main shaft can be obtained, and then the delta a is substituted into a formula (4) so that h is obtained; the hob is rotated by Phi angle, anda tooth surface parameter theta value can be obtained through a formula, and then the theta value is substituted into a formula (2) and a tooth surface parameter u value is obtained through the formula, so that the tooth surface parameters u and theta of the tooth surface of the hobbing cutter worm are obtained, and the tooth surface parameters u and theta of the gear side surface II of the hobbing cutter worm can be obtained in the same way; as for different Phi angles, all the meshing points of the tooth surface I and the tooth surface II of the hobbing cutter tooth can be obtained; by the angle (u, theta ), the representation of the set of the meshing points in the workpiece coordinate system is the feature of the tooth surface of the machined workpiece; under the effect of hobbing force, the error value of the shortest distance between the workpiece main shaft and the hobbing cutter main shaft can be obtained; the hobbing cutter tooth surface parameters are obtained according to the error value and the cutting force, and the representation of the set of the meshing points obtained by the obtained tooth surface parameters in the workpiece coordinate system is the tooth surface feature of the machined workpiece, so that a theoretical basis is provided for the processing method of the finish machining gear.

Description

technical field [0001] The invention relates to the field of machining of mechanical parts, in particular to a method for acquiring tooth surface parameters of gear hobbing under force-induced errors. Background technique [0002] Gear hobbing is the machining of gears with a hob, similar to the meshing of a pair of interlaced helical wheels. In this pair of meshing gear transmission pairs, there is also a rack on each tooth surface of the helical normal section of the gear hob, and when the hob rotates continuously, it moves continuously along the tool axis with respect to an infinitely long rack. When the gear hob rotates at a given cutting speed, the workpiece is driven according to the meshing relationship between the gear and the rack (that is, when the hob rotates one circle, it is equivalent to the rack moving one or several tooth pitches, and the gear blank also rotates one or several tooth pitches), the tooth grooves are cut out on the tooth blank to form the invol...

AI Technical Summary

Problems solved by technology

These deformations will affect the shape and position error of the final machining of the gear, if not fully considered, the accuracy of the final product will be adversely affected

However, in the existing technology, there is no accurate analysis of the impact of component deformation caused by cutting force on product accuracy, resulting in the substandard accuracy of the final product and affecting the final application field and scope.

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