| As a kind of gear generating method,gear shaving is widely used in the finishing of cylindrical gears in automobile,ship and other fields,because of high efficiency,good forming quality,high tool durability and so on.However,the existence of tooth profile concave error would increase the noise of gear transmission and reduce the service life of gear.In order to meet the manufacturing requirements of gear enterprises,this paper starts from the angle of shaving cutting parameters,and takes the shaving cutting force and the shaving cutting speed as the characterization variables to deeply study the mechanism of tooth profile concave error.Moreover,in order to reduce or eliminate the shaving tooth profile concave error,this paper also optimizes the shaving cutting parameters.According to the gear meshing principle,the shaving motion model was established to reflect the movement of gear shaving.Meanwhile,based on the principle of metal cutting,considering the elastic deformation of the tooth surface of the workpiece gear,a shaving cutting force model with shaving cutting parameters was established.Based on the principle of single variable,the influence of different shaving cutting parameters on the shaving cutting force was studied and analyzed.It was emphatically discussed that the variation law of the shaving cutting force at the pitch of the workpiece gear.At the same time,the mechanism of the shaving tooth profile concave error was explained from the angle of the shaving cutting force and the main factors affecting the cutting force of shaving were determined,according to the differential method.Finally,the validity of the model was confirmed by the finite element method.In order to further reveal the mechanism of tooth profile concave error,the shaving cutting speed model with shaving cutting parameters was established by analyzing the shaving cutting speed of meshing points.Based on the principle of single variable,it was studied and analyzed that the influence of different shaving cutting parameters on the cutting speed of shaving.The variation law of shaving cutting speed at the pitch of the workpiece gear was mainly discussed.At the same time,considering the cutting force and shaving cutting speed,it is one of important reasons for the tooth profile concave error that the large cutting force and the small shaving cutting speed at the pitch circle position of the workpiece gear.Through the orthogonal test of gear shaving,the mathematical model of tooth profile error of the workpiece gear was established.Based on the sensitivity analysis method,the sensitivity model with shaving cutting parameters was established,and the influence degree of different shaving cutting parameters was obtained.Meanwhile,taking the expected small characteristic of tooth profile error as the objective function,the shaving cutting parameters were optimized by calculating the SNR of tooth profile error,and the effectiveness of the method was verified by the shaving test.The research not only have important significance for the systematic study on the formation mechanism of tooth profile concave error,but also provide a new research idea for solving the problem of tooth profile concave error.Moreover,this method has certain application value. |