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

The vibration/noise of power transmission gears is one of the serious problems for vehicles, e.g. automobiles, and therefore many researches on gear vibration have been reported. Those reports were, however, concluded by the investigation using numerical simulation which needs input data such as gear dimensions and tooth flank modification. Therefore, the characteristics of transmission error of gears are not clarified theoretically. In this report, the general model of tooth mesh of gears is proposed, where quasi-infinite elastic model composed by springs with stiffness peculiar to gears is incorporated. Transmission error of gears is expressed by theoretical equations. This model is true for 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.