A novel speed reducer with large reduction rate, named the compound rolling teeth reducer (CRTR), was investigated. CRTR is a two-stage gear transmission and constructed according to the speed reduction principles of both the movable rolling teeth transmission and the RV drive. The kinematic principle, structure and characteristics of CRTR as well as the differences of structure and force transfer mode between the CRTR and RV reducer were analyzed in detail, on which the merits of CRTR were summarized. The teeth profile equation of fixed inner gear and the speed rate of CRTR were derived, the model and its algorithm of meshing force were proposed, and these will provide a base for the kinematic design, load capability, efficiency calculation and stiffness estimation of CRTR.
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