Research on Sliding Ratios of Conjugate Surfaces of 2-DOF Meshing Transmission of Spherical Gear Pair

Author(s): LI Ting, PAN Cunyun, Gao fudong, WANG xiaocong,
Volume: 134(9) - September, 2012

The spherical gear is a gear-driven mechanism with two degrees of freedom (DOFs) and can transfer spatial motion. The spherical gear pairs have two types of basic assembly structures, an ideal mechanism and a gimbal mechanism, and kinematic analysis of two mechanisms is performed. Then, the 2-DOF gearing principle of conjugate tooth surfaces of the spherical gear pair was introduced, and the relative slide between two tooth surfaces in mesh was analyzed. And then, based on the meshing models of the spherical gear pairs, the equations of the meshing coned surface and conjugate surface were established. Based on two-parameter movement analysis, the sliding ratios of the tooth surfaces of the spherical gear pairs were gotten when they mesh in different meshing condition. Analysis and calculation validated that: in the ideal mechanism, the sliding ratios of the spherical gear teeth were related to angle velocity ratio; in the gimbal mechanism, the sliding ratios of the spherical gear teeth were not only related to angle velocity ratio but also related to the assembly axes. The results are useful in theory for further studying the wear of the spherical gear.

 


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