Kinematic analysis and experimental verification of an oval noncircular bevel gears with rotational and axial translational motions

Abstract

This paper proposes a new type of gear transmission based on the space engagement theory, which can achieve not only simple motion transmission between intersecting axes, but also the compound motion of the rotation and axial translation between them. An oval noncircular bevel gear engagement coordinate system was first established with parameter equations of the pitch cone described in spherical coordinates. Then, the spherical involute equations and formula for calculating displacement and axial translational velocity of the gears were derived. Experimental tests were carried out to validate the kinematic characteristics of oval noncircular bevel gear transmission calculated from theoretical models. The influences of eccentricity on the indicators, such as axial displacement, rotational angle, angular velocity and acceleration, periodicity of the line of contact and periodicity of each motion characteristic parameter, have been analyzed and discussed in last. Experimental verification and kinematic analysis indicate that the proposed gear design method is appropriate with great potential for industrial applications.