Research On The Characteristics Of Meshing Transmission Of Shaving And The Design Of Shaving Cutter

Shaving process has the advantages of high production efficiency and it has been widely used in the gear manufacturing industry.However,the defect of the method is that the tooth profile of the workpiece will produce a different degree of Concave error in the shaving tooth shape near the pitch circle.Especially when the coincidence degree is less than 2,the concave error phenomenon is the most significant,which seriously affects the accuracy of gear surface and the state of meshing transmission.In this paper,the mechanism analysis of the concave error of the tooth profile,the transmission characteristics and the shaving cutter design are systematically analyzed.According to the principle of space meshing of interlace helical gear,the meshing process of shaving gear is researched.Starting with the mechanism of the influence of coincidence degree on the concave error of tooth shape,the space meshing model,meshing equation derivation,instantaneous contact point number and location area calculation are used to obtain the change of the coincidence degree to the meshing.The change law of the number of contact points and positions in the period,and the analysis of the change of contact stress curve by using the knowledge of statics and elasticity,and so on,the relationship between the three factors of the coincidence degree-the contact deformation-the concave error of the tooth shape is obtained.In the view of the influence of various design parameters of shaving cutter?the number of teeth,the coefficient of displacement,the angle of the axis?on gear transmission characteristics?transmission error,transmission ratio and transmission efficiency?.Through the experiment,the influence of the gear meshing transmission characteristics of different coincidence degree on the concave error of the tooth profile is obtained and the transmission error is used as the standard,which provides an important theoretical criterion for the design of the shaving cutter.Based on the principle of negative variable displacement shaving and balanced shaving,the non equilateral tooth profile of the traditional negative variable position shaving cutter is designed.By reducing the maximum radius of the curvature of the vice working surface,the main and secondary working surfaces of the shaving cutter are meshed at the same time,and the balanced shaving is realized.The method effectively eliminates the three point meshing area near the pitch circle,and improves the meshing uneven force between the shaving cutter and the workpiece gear in this area.Taking the transmission error as the outline,the comparison of the meshing process between the non equal edge shaving cutter and the original negative shaving cutter and the workpiece gear shows that the non equilateral shaving cutter can optimize the deficiency of the negative variable position shaving and the difficult to realize the balance shaving condition,so that the rodent force between the teeth in the meshing process of the gear shaving tends to be smooth and realizes flat.The balance shaving gear reduces the amplitude of transmission error,which provides a new technical idea for eliminating the concave error of gear shaving.^[1]The three-dimensional solid modeling of the shaving cutter and workpiece gear is carried out by CATIA,and the dynamic finite element simulation analysis of the whole meshing process is carried out through the Abaqus finite element analysis software.The transmission error and the contact stress contrast curve are obtained.The validity of the non equilateral shaving cutter is verified,and the important data support is provided to improve the concave error of the tooth profile.