Research On Tooth Surface Twist Reduction Technology Of Form Grinding Based On Multi-Axis Additional Motion Optimization

Modification gear as high-end gear can overcome force and thermal coupling deformation under high-speed and heavy-duty conditions and is widely used in the transmission of automobiles,wind power,ships and other industries.In the system,the service performance of the transmission system such as vibration,noise and fatigue life is directly determined by the modification gear.Form grinding inevitably causes principle errors when machining modification tooth surface because of its geometrical motion characteristics.And this principle error is determined by the forced meshing process of the form grinding,which is essentially different from the machining error of the machine tool.The difficulties of research lie in the establishment of the error model and error compensation.This paper proposes a method to compensate the principle error by optimizing the multi-axis additional motion and matching contact lines.This method has practical application value for improving the form grinding accuracy of topological modification tooth surface,and provides the theoretical basis for form grinding of highprecision and complex-modification tooth surface.The main research contents in this paper include:First of all,the positive and negative calculation of wheel profile and topological modification tooth surface are carried out.Based on standard involute helical surface,the tooth profile modification curve is superimposed on the standard involute profile and the tooth lead modification curve is superimposed on the standard helix curve,and then the topological modification tooth surface model is established.Then,the wheel profile is calculated,and by planning the trajectory of the wheel the modification tooth surface is obtained.And the positive and negtive tooth surface are simulated.Secondly,the twist error of topological modification tooth surface is traced and analyzed,and the error model is established.Through the simulation,the actual enveloping modification tooth surface and the theoretical modification tooth surface are obtained.And by calculating the profile errors at different position along the width of tooth surface the twist of tooth surface is manifested.Then through analyzing the effect of the contact line and the x、y、c additional movement on the twist of tooth surface,the respective error models and comprehensive model are established,which lays the theoretical foundation for the compensation for the twist of tooth surface.Then,a tooth surface twist error compensation method based on multi-axis additional motion optimization is proposed.Firstly by optimizing the setting angle of the wheel,the height of the contact line along the tooth width is minimized,and the tooth profile slope deviation caused by the contact line is reduced;Then,the compensation method of optimizing the amount of x、y、c additional movement is proposed.Taking genetic algorithm as optimization means,the optimization is carried out and the tooth surface errors of new tooth surface are manifested which verifies the validity of the method.Finally,the research results are applied to the system software development of twist compensation function module in CNC gear forming grinding machine.And through grinding experiments,the validity of the compensation method is verified.