2733 General Characteristics of Vibration of Gears with Convex Form Modification of Tooth Flank : 1st Report, General Model of Meshing Condition of Gears

It has been reported that the vibration of the gears with convex tooth flank form is low when the actual contact ratio takes integer+0.6 approximately. Those reports were, however, concluded only by the investigation for some sample gears. It is, therefore, not confirmed whether the particular relationship between the gear vibration and the actual contact ratio is generally true. In this report, the general model of tooth mesh of gears is proposed. This model can be applied into not only spur and helical gear, but also hypoid gear, bevel gear, and internal gear. This model clarifies that the qualitative characteristics of transmission error of gears are not influenced by the quantity of tooth flank modification, that of stiffness, and torque although the form of tooth flank modification and the distribution of stiffness have effects on them.