Fundamental Research on Gear Noise and Vibration : (6th Report, Generation Mechanism of Radial and Axial Vibration of Spur Gears)

Abstract

The generation mechanism of the radial vibration and the axial one of spur gears is theoretically analyzed in consideration of not only the stiffness of shafts and bearings but also the mass of shafts in this report, where the concerned system of an infinite degree-of-freedom is converted to that of a finite one which has the same kinetic energy as the former, based on the assumption that the static characteristics of shafts and bearings can be applied to the dynamic condition. This analysis and the comparison of the calcutated results based on it with the experimental ones indicate that the vibration model, represented by a system of coupled vibration, can give a comparatively good explanation of the characteristics of three-directional vibrations obtained experimentally and that the conversion ratios from the circumferential vibration to the radial and the axial one depend on the combination of gears, shafts and bearings.