Vibration of Power Transmission Helical Gears : Analytical Method of Vibration Level

Abstract

The relation between the contact ration and the vibration level has been investigated for decreasing the vibration of a gear unit having errors. In this report, the analytical method has been investigated. The rotational motion of the gear pair has been treated as a single degree of freedom vibration system. The stiffness of the pair of teeth has been obtained by solving the equilibrium equation numerically, and substituted into the vibration equation. Then the equation has been numerically solved and the acceleration has been obtained. Furthermore, the proposed analytical method has been experimentally confirmed by measuring the rotational acceleration of the gear pair having errors under loading. It is found that the calculated results agree with the experimental results, and that the proposed analytical method is applicable to evaluate the vibration level.