Jixie chuandong (Mar 2023)
Study on an Improved Algorithm for Helical Gear Meshing Stiffness and Its Influencing Factors
Abstract
Based on the potential energy method, an algorithm for modifying the meshing stiffness of helical gears is proposed. This method considers the real machining of the tooth root transition curve, which is a trajectory line formed by the tip angle of the tooth when the tool rolls into motion, and the starting point of the involute is the intersection of the tooth root transition curve and the involute. When calculating the stiffness, the tooth root transition curve equation from the root of the tooth to the starting point of the involute is used for the calculation, and the involute equation from the starting point of the involute to the top of the tooth is used in the calculation. The meshing stiffness calculated by this method is closer to the reality. Compared with the finite element method, the accuracy of the modified algorithm is verified and the calculation accuracy of the helical gear meshing stiffness is improved. Based on this method, the influence of involute shape, meshing position and contact ratio on the meshing stiffness and transmission error of helical gears is analyzed. The research results show that when the pressure angle increases, the radius of curvature of involute will increase. Thus the transverse stiffness of gears is improved. At the same time, the transverse contact ratio will firstly increase and then decrease. Under the influence of transverse stiffness and transverse contact ratio, the variation trend of average meshing stiffness is the same as that of transverse contact ratio; when the meshing position is closer to the node, the meshing stiffness will increase; an increased total contact ratio will make the average stiffness increase, and the transmission error (TE) decrease as a whole. However, when the contact ratio is close to the odd multiple of 0.5, the TE peak-to-peak value will reach a maximum value.
