Calculation of Tooth Profile Deviation of Involute Cylindrical Gear Based on NURBS Curve Fitting
In order to improve the fitting accuracy of the existing gear profile curve,aiming at the existing tooth profile devia-tion calculation methods,a tooth profile deviation calculation method of involute cylindrical gear based on NURBS curve fitting is adopted.Firstly,the theoretical mathematical model of tooth profile error of involute cylindrical gear is established.Then,according to the NURBS curve fitting principle and the tooth profile coordinate points measured by CMM,the fitting of actual tooth profile curve and theoretical tooth profile curve is realized by Matlab programming.Combined with the involute equivalent fitting method,the tooth profile deviation of gear is calculated.The fitting results show that NURBS curve has high precision,small error and good fitting effect.The calculation results of tooth profile deviation show that the tooth profile deviation based on NURBS curve fitting is consistent with the measured values,which shows that this method is accurate and effective.
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