Research On Heat Treatment Deformation Control Of Spiral Bevel Gear Tooth Profile Based On Reverse Adjustment Of Gear Cutting Parameters

Spiral bevel gear as an important cross shaft transmission parts,is widely used in automobile,aviation,mining,navigation and other fields with its advantages of smooth transmission,strong bearing capacity and low noise.The tooth surface structure of the spiral bevel gear is complex and requires high machining accuracy.During the heat treatment process of spiral bevel gears,tooth profile deformation inevitably occurs,which can cause poor meshing of the gears,generate noise,and directly affect the transmission performance and service life of the gears.Aiming at the tooth profile deformation problem of spiral bevel gears during heat treatment,a reverse adjustment correction model of tooth cutting is established in this paper.Based on the Levenberg-Marquardat algorithm,a stable and accurate numerical solution of the gear cutting counter adjustment is obtained.The thermal treatment tooth profile deformation is compensated in the gear cutting stage,and the tooth profile deformation of spiral bevel gear is controlled during heat treatment.Firstly,the precise modeling of spiral bevel gear based on cutting parameters is studied deeply.Secondly,the influence of cutting parameters on tooth profile error was studied.Finally,the reverse cutting correction model of spiral bevel gear tooth profile deformation during heat treatment was established.The main research contents of this paper are as follows:(1)The mathematical model of spiral bevel gear tooth surface is established based on the cutting parameters.According to the cutting and meshing principles of spiral bevel gears,the tooth surface equation of spiral bevel gear with tooth root transition surface is derived through coordinate transformation;Using MATLAB software to solve discrete points on the tooth surface,the three-dimensional modeling of spiral bevel gears is established in UG software.(2)Based on the multi field coupling model,the simulation research on the heat treatment process of spiral bevel gears is carried out.The thermophysical properties parameters of20 Cr Mn Ti low carbon alloy steel during heat treatment were calculated using JMat Pro software;Based on the coupling model of carburizing field-temperature field-structure field-stress-strain field,the finite element method was used to simulate the multi-field coupling heat treatment of spiral bevel gear,the carbon element distribution,temperature field,microstructure field,and tooth surface deformation of gears during heat treatment are analyzed.The results show that after heat treatment,the carburized layer depth on the tooth surface is 1.14 mm,the carbon element distribution is uniform,the tooth surface hardness is 63.5HRC,and the gear core hardness is 33.8HRC,which is consistent with the actual machining.(3)The influence of various cutting parameters on tooth profile error is studied through the method of artificially setting small variable perturbations of gear cutting parameters.The influence rules of adjusting various gear cutting parameters on the tooth profile structure and the influence weights of various tooth profile errors are studied.The results show that the rolling ratio has the greatest influence on the tooth profile error among all the cutting parameters.The cumulative tooth profile errors of the concave and convex surfaces caused by the fine-tuning of the rolling ratio by 0.01 are 5.901 mm and 7.228 mm,respectively.Secondly,radial cutter position,cutter Angle,blank installation Angle,vertical wheel position,and other parameters have little influence.(4)The establishment and experimental study of the reverse cutting correction model of spiral bevel gear tooth profile deformation in heat treatment.According to the established mapping relationship between cutting parameters and tooth profile error,the sensitivity coefficient matrix of tooth surface error was constructed;Combined with the compensation amount of tooth surface,the reverse adjustment correction model of tooth surface deformation during heat treatment was established;Conduct thermal tooth profile error experimental detection on the tooth surfaces before and after reverse gear cutting.The experimental results show that the cumulative error and the maximum error of the concave and convex surfaces of the gear have been greatly reduced after the reverse gear cutting,verifying the validity and feasibility of the modified model for reverse gear cutting.