Tooth modification and loaded tooth contact analysis of China Bearing Reducer

Abstract

China Bearing Reducer (CBR) is a one-stage cycloid speed reducer, which has the advantages of large transmission ratio, large load, high precision, high stiffness, and compact structure. The profile modification quality and manufacturing error of cycloid gear are the key factors affecting the transmission accuracy. In this paper, the structure of CBR is introduced first. By means of tooth contact analysis, a new parabolic profile modification method is proposed to improve the transmission accuracy. Then, by using Hertzian contact theory, force equilibrium equations and deformation compatibility conditions, a loaded tooth contact analysis algorithm of CBR is proposed to analyze the loaded transmission characteristics. According to the designed manufacturing error, the objective function is established to minimize the transmission error under nonload condition, and the particle swarm optimization algorithm is used to solve the optimal modification coefficients. Finally, the CBR25 is manufactured with the optimum modification coefficients, and the manufacturing error is measured in coordinate measuring machine to verify that it meets the design requirements. The optimal modification coefficients of CBR25 under nonload are solved based on particle swarm optimization model. Then the optimal modification coefficients are substituted to loaded tooth contact analysis to analyze the meshing contact force, contact deformation, and transmission error of CBR25. The transmission error of the CBR25 is tested on the testing rig. The error between the measured results and the calculated results of loaded tooth contact analysis is within 5%, which shows the correctness of the loaded tooth contact analysis algorithm. At the same time, the operation stability of the CBR25 is improved by using the optimal modification method.

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

“…Gong et al [13] proposed a modification method based on CNC form grinding technology, which fits the conjugate tooth profile better than the conventional method. Sun et al [14] proposed a method based on parabola modification, which considered the transmission error and used the particle swarm optimization algorithm to solve the optimization coefficients. For cycloid gear profile modification, the idea of segmental modification can be used to avoid the problem that the compound modification method has large coefficients of modification and thus increases the transmission error.…”

Study on multi-clearance nonlinear dynamic characteristics of herringbone gear transmission system under optimal 3d modification

“…However, when gear pair is under heavy load, its TE and imprint are different from results of TCA, so it is necessary to apply load to simulate meshing process, namely,loaded tooth contact analysis (LTCA). It can comprehensively consider gear geometry and installation error, etc, and obtain the loaded transmission error(LTE) and load distribution coefficient of tooth surface, which is a bridge connecting gear geometry design and mechanical analysis [7].…”

Calculating the Load Distribution and Contact Stress of the Disposable Harmonic Drive under Full Load

“…Jia et al [16] proposed a tooth-profile modification scheme to reduce the contact stress and transmission error. Sun et al [17] proposed a new parabolic profile modification method for a China bearing reducer and calculated the contact characteristics. Rama et al [18] determined the tooth load-carrying capacity of the high contact ratio asymmetric gear drive using wire-cut electrical discharge machining.…”