Study On Measurement Method Of Spiral Bevel Gear Based On Three-Dimensional Scanning Probe

Spiral bevel gears are widely used in aerospace,agricultural machinery,engineering vehicles and military machinery due to their advantages such as high coincidence,strong bearing capacity,good transmission performance and long service life.Domestically,the spiral bevel gears are mainly measured by gear measuring center equipped with onedimensional probe at present.Because of the unilateral force of one-dimensional measuring probe,it is necessary to adjust the direction of the force of the measuring probe and the operation is cumbersome when measuring the tooth form deviation and tooth pitch error of the spiral bevel gear.In practice,spiral bevel gears are also measured using a gear measuring center equipped with a two-dimensional probe.Whether it is equipped with a onedimensional probe or a two-dimensional probe,when measuring spiral bevel gears with large spiral angles,it is not possible to accurately compensate the position of the measuring probe in the direction of the normal vector of the discrete point of the tooth surface.For the measurement of spiral bevel gears by a gear measuring center equipped with a triggered three-dimensional probe,the measurement efficiency is low due to the point-by-point measurement.In view of the above problems,this paper studies the measurement method of spiral bevel gears based on scanning three-dimensional probe with the help of scanning threedimensional probe scanning point and the measuring probe forced in three directions.In order to measure spiral bevel gears,it can simplify the measurement operation,improve the efficiency of collecting point,measure the spiral bevel gears with large spiral angle,and increase the measurement projects.The research contents of this paper is as follows:1.Based on the analysis of the traditional machining methods of spiral bevel gears,the solution method of tooth surface equation and tooth surface mesh point coordinates is deduced.On the basis of this,the equation of the surface of tooth root is reconstructed,and the solution method of mesh point coordinates of tooth root surface is determined.2.According to the established theoretical model of spiral bevel gears,combined with the structural characteristics and working principle of the gear measuring center and the scanning three-dimensional probe,the installation and positioning scheme of the gear is determined.By establishing the measuring coordinate system,the position of the measuring probe coordinate system in the random coordinate system after the gear measuring center is started up is determined.On the basis of the theoretical measurement model of spiral bevel gears,the measurement path is planned according to the measurement requirements of tooth form,tooth pitch,tooth root,tooth top and normal chord tooth thickness and the measuring points are calculated.3.According to the measured method,controlled the probe to contact the tooth surface and sample,obtained the measurement of the mesh points corresponding to the gear measurement center of the axis coordinates,the measurement of the probe,and the phase angle of the turntable.Through the analysis and processing of these measured data,the data processing of tooth form,tooth pitch,tooth root,tooth top and normal chord tooth thickness is completed.Furthermore,the key algorithms in data processing are verified to ensure the correctness of the theoretical algorithm.4.Based on the bevel gear measurement and analysis software system,software development was completed in the Microsoft Visual Studio 2010 Platform using the C + + programming language.Using this software,the measurement experiments of tooth form,tooth pitch,tooth root,tooth top and normal chord tooth thickness are completed,and the correctness of the measurement method is verified by comparative experiments.