汽車驅(qū)動橋螺旋錐齒輪齒面測量誤差補(bǔ)償方法

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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

螺旋錐齒輪是機(jī)械設(shè)備中關(guān)鍵基礎(chǔ)元件之一，廣泛應(yīng)用于汽車、造船、工程機(jī)械、建筑機(jī)械和交通運(yùn)輸機(jī)械等領(lǐng)域[1]。（剩余11115字）