歯面の接触と動荷重の基礎理論 : 第2報, 歯車対の運動方程式と軸受荷重変動が零となる条件

概要

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For a point of contact and its common contact normal given through the new tooth geometry, equations of motion and the bearing loads of a gear pair are presented. Analysis of the bearing loads clarifies that the conditions under which a pair of tooth profiles has no variation of bearing loads are as follows : (a) the path of contact must be a straight line which coincides with the common contact normal at the point of contact and must be fixed in static space, and (b) the ratio between angular velocities must be constant and coincide with that between input and output torques. This indicates that the variation of bearing load is composed of both the variation of static load due to violation of condition (a) and that of rotation due to violation of condition (b), the former of which has not been discussed in previous theories of dynamic load. Condition (a) indicates that the pair of tooth profiles corresponding to the straight path of contact must lie on involute helicoids and a pair of tooth surfaces must include the pair of tooth profiles and be modified to make contact along it, which explains why the choice of the tooth surfaces and the tooth bearing corresponding to the tooth profile greatly influences the noise and vibration of gears for power transmission.
1996-08-25