Vibration of Helical Gears : Part l Theoretical Analysis

抄録

A coupled vibration system of a pair of helical gears and gear-carrying shafts is analyzed theoretically. The coupled vibration has four-directional components, which are torsional, lateral, longitudinal vibrations and rotational one about a certain diameter of a gear. In the analyses three pairs of helical gears of different helix angles are compared with a pair of spur gears. It is shown that from the view point of the dynamic load the torsional component is the most important in the vibration of helical gears as well as in that of spur gears. It is also shown that the rotational vibration plays a more important role than the longitudinal one in the coupled vibration of helical gears. The influence of gear-carrying shafts of continuous systems is also investigate to show that the system has more than four natural modes which may be excited through helical teeth.