汽车驱动桥螺旋锥齿轮齿面测量误差补偿方法

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Compensation method for tooth surface measurement error of spiral bevel gear of automotive drive axle

LIUYongsheng12，TANJiamin1，WANG Ruifu1，HU Panru2，GANXinbin1，CHENYixin*1 （1.KeyLaboratoryofRodConstructionTechnologyandEquipmentofOE，Chang'anUniversityXi'an76，in 2.AVICJONHONOptronic Technology Co.，LTD.，Luoyang471003，China.）

Abstract：Inorderto ensurethesafetyand energysaving performanceof the vehicle，it is crucial toimprove the machining qualityof spiral bevel geartooth surface.An Iterative Closest Point （ICP）errorcompensation method optimized by dual quaternion was proposed for the measurement eror of the measured and theoretical tooth surface.The error compensation problem was transformed into the matching of two surfaces.Dual quaternions were used torepresent the tooth surface matching model，which helped toobtain theerror matrix.Theerrormatrix waslinearizedandaconvexrelaxationglobal optimizationalgorithmwasapplied tooptimize thereal partof the matrix.And then the precision matchingof the spiral bevel gear tooth surfaceswasachieved.Theresults show that the error compensation for the concave tooth surface reaches up to 77% Specifically，the maximum error is reduced from 22.11 μm to 5.64μ m and the average error is reduced from 10.34μ m to 2.38μ m .Compared with thetraditionalSingularValue Decomposition （SVD）method，Quaternionmethodand Levenberg-Marquardt （LM）method，theproposedalgorithmhashigheraccuracyandstabilityprovingthattheproposedcompensation method is feasible.

Key words：driveaxle；spiral bevel gears；dual quaternions；iterative closest point （ICP）algorithm； global optimization

螺旋锥齿轮是机械设备中关键基础元件之一，广泛应用于汽车、造船、工程机械、建筑机械和交通运输机械等领域[1]。（剩余11115字）