Relationships Among Face Width, Amount of Gear Error, Gear Dimension, Applied Torque and Tooth Load in Cycloidal Gears

Abstract

A thin rim cycloidal gear in contact with pin-type internal gear teeth in a K-H-V-type planetary gear arrangement was chosen as the subject of study. The tooth loads of the thin rim cycloidal gears with gear errors were discussed theoretically using both the gear model composed of two beams and the flexibility influence coefficients. Furthermore, the tooth loads of the cycloidal gear were analyzed using the finite element method in order to assure the theoretical results obtained using the gear model. Consequently the relationships among the face width b, the amount of gear error E, the eccentricity r_e used to show the gear dimension, the applied torque T_o and the tooth load P_k were determined as follows. Each of P_k/(bE) and P_kr_e/T_o can be expressed as a function of bEr_e/T_o.