Orthogonal Face Gear Grinding And Its Dynamics Simulation Analysis

The tooth surface shape of the orthogonal face gear is complex,and the tooth surface grinding method is a key problem in the manufacturing of the face gear,and it is also a hot spot and focus of research.Domestic and foreign scholars have done a lot of research on the tooth surface forming principle and grinding method,but the integrity of the tooth surface transition surface of the orthogonal face gear,the grinding tooth grinding margin determination method is not clear,the versatility of the grinding method And the research on the rationality of the grinding trajectory is insufficient.In this paper,the tooth surface grinding of orthogonal face gears is studied.The main research contents are as follows:Firstly,Aiming at the incomplete problem of the orthogonal face gear tooth root transition surface,this paper is based on the principle of the orthodontic face gear with the toothed corner fillet to calculate the complete orthogonal face gear tooth root transition surface equation.And build its 3D model.The research shows that the curvature of the tooth surface of the orthogonal face gear made by the shaper with rounded corners is relatively large,and the transition is smooth;the integrity of the three-dimensional model of the orthogonal face gear is improved.Secondly Aiming at the problem that the method for determining the grinding allowance of the orthogonal face gear is not clear,this paper proposes a method to reserve the grinding allowance by changing the displacement of the gear shaping cutter.The tooth surface mathematical model and three-dimensional model of the orthogonal face gear before grinding are constructed by using the principle of tooth surface displacement of the orthogonal face gear.The grinding allowance equation of the tooth surface is derived;fit the curve of the grinding allowance.the quantitative relationship between the grinding allowance and the displacement coefficient is obtained.The research shows that the grinding allowance of each point on the tooth surface of the face gear corresponding to the same pinion tool displacement is different,and the value of the grinding allowance closer to the inner diameter is larger.Then,Aiming at the problem of poor versatility of the equipment used in the orthogonal face gear grinding method,this paper proposes a method of grinding the tooth surface of the opposite gear by the robot.The kinematic equations of robot grinding are constructed and solved.The grinding trajectory of the gear surface grinding based on Hilbert space filling curve is proposed,and the tooth surface model after grinding is obtained.The research analysis shows that the face gear tooth surface obtained by the application robot according to the Hilbert space filling curve planning is no error compared with the theoretical tooth surface.Finally,In this paper,the meshing performance of the orthotropic face gear after grinding is simulated and analyzed.By changing the number of teeth of the spur gear and the rotational speed,the kinetic simulation results are obtained,and the influence of the change of the number of teeth of the spur gear and the rotational speed on the accuracy of the face gear transmission is analyzed.Research and analysis show that The closer the number of teeth of the spur gear is to the number of teeth of the gear,the smaller the radial error of the transmission of the face gear;the larger the speed,the greater the angular acceleration of the face gear.In this paper,the transition surface equations of the orthodontic face gears with the toothed-toothed fillet are considered,and the construction method and model of the face gear tooth surface are improved,which plays an important role in improving the dynamic analysis accuracy.In this paper,the method of reserve grinding allowance is proposed,and the quantitative relationship between grinding allowance and displacement coefficient is obtained.The idea of general robot grinding surface gear tooth surface is proposed,and the grinding trajectory planning is carried out.Finally,the dynamics simulation analysis of the ground gear after grinding was carried out.The research work in this paper has certain theoretical significance and application value for the research of face gear grinding.