KINEMATIC ANALYSIS OF BEVEL PLANETARY GEARS BY USING THE INSTANTANEOUS AXIS OF ROTATION

摘要

In this paper we present a new method for the kinematic analysis of planetary mechanisms with bevel gears. The traditional methods for the kinematic analysis of planetary mechanisms with cylindrical gears employ the Willis method or the contours method considering the sign of the gear ratio. This issue is not possible for single mesh bevel gear planetary mechanism (with two meshing gears) because not all angular velocity vectors are parallel to one another and consequently, additional methods are required. In this case it is used a vector relationship between the relative angular velocities related to the planet carrier and the vector attached to the gears composing the mesh. Based on the kinematic scheme of the mechanism a unit vector scheme is accomplished which can be used to visualize the initial position of the mechanism.