Design and Load Distribution Analysis of the Mismatched Cycloid-Pin Gear Pair in RV Speed Reducers

Abstract

The current loaded tooth contact analysis of cycloid drives based on the assumption of theoretical positions of ring pins ignores the deviations caused by manufacturing errors and elastic deformations, which are not in agreement with reality. To fill this gap, an improved load distribution model of the mismatched cycloid-pin gear pair with ring pin position deviations is presented for a component-level analysis. Firstly, with the cycloid gear tooth profile geometry defined, the unloaded tooth contact analysis is applied as a pre-processor to determine the potential contact points, the gear backlash, and the rotation angle of the cycloid gear. Secondly, due to the statically indeterminate structure of the multi-tooth contact, a varying nonlinear contact stiffness is introduced to establish the relation between force and deformation. Then, the force and moment equilibrium equations with compatibility conditions are solved by using an iterative approach. With this, detailed parametric case studies are presented to verify the correctness of the proposed model by comparing it with those predicted by the current model and to demonstrate the influences of ring pin position deviations on the distributed load, contact stress, loaded transmission error, and instantaneous gear ratio of the mismatched cycloid-pin gear pair. This study provides a deeper investigation into the load distribution characteristics of the cycloid drive and therefore can be employed to assist in gear design.

Study of the Transmission Characteristics of the Cycloid Gear Based on a Multi-Objective Optimization Modification

“…The transmission error curve and return error curve are also obtained. Li et al [21] proposed an improved load distribution model of the mismatched cycloid-pin gear pair with ring pin position deviations for a component-level analysis, verified the correctness of the proposed model, and demonstrated the impact of ring pin position deviation on the mismatched cycloid-pin gear pair. Xu et al [22] proposed a model of cycloid drive dynamics considering bearings in order to analyze contact positions and calculate contact loads.…”

“…In this paper, the pin tooth contact deformation f max is ignored, taking into account the calculation model. Equation (21) shows that it is necessary to know δ max and the mesh tooth number to solve F max , and according to Equations ( 25)- (27), it is necessary to know F max to solve δ max . δ max and F max are mutually known variables, so it is necessary to give the initial value of F max firstly.…”

Fault Diagnosing of Cycloidal Gear Reducer Using Statistical Features of Vibration Signal and Multifractal Spectra

“…Presented in [ 2 ] is a review of the gearboxes used in robotics, along with a proposed robotic transmission assessment framework that includes the most crucial gearbox properties such as control, safety, weight and compactness, efficiency and productivity. The authors of cycloidal drive research primarily focus on the influence of theoretical calculations [ 3 , 4 , 5 ], design [ 6 , 7 , 8 ], manufacturing [ 9 , 10 ] and assembly parameters on the dynamics behaviour of the cycloidal gearbox, including contact [ 11 ]. One of the key factors, the efficiency of the industrial gearboxes [ 12 , 13 , 14 , 15 , 16 , 17 ], is also extensively researched.…”

Design and Analysis of a Novel Actuator with a Double-Roller Gear Drive

“…Combining the Boussinesq force-displacement relationship in elastic half space with the influence coefficient method, a tooth flexibility model considering tooth contact deformation was established. Then, the loads, contact patterns, and loaded transmission error were calculated by enforcing the compatibility and equilibrium conditions [11][12][13]. Sensinger [14] put forward the idea of a cycloid reducer that uses roller bearing with modest attrition factors to take the place of a free roller.…”