A SIMPLIFIED METHOD FOR THE KINEMATIC ERROR ANALYSIS OF CYLOIDAL GEAR DRIVES

抄録

The kinematic/transmission error is one of the indices used for the performance evaluation of the cycloidal gear drive. It can be usually simulated by performing a tooth contact analysis when the design parameters are given. In the tooth contact analysis, equations of constraints from contact point and contact normal are derived. Usually, solving these equations of constraints requires nonlinear equation solver and hence assumes computing time. In this paper, a simplified method for calculating the kinematic error is proposed. The profile of the cycloidal gear as well as the output angle of the drive is discretized by certain number of precision points and positions. An algorithm is developed to check the interference status between the pin and discretized points and calculate the output angle. By using this algorithm, the computing time for calculating the kinematic error can be reduced about 16 percent with the loss of accuracy about 0.25 arcsec in the numerical example illustrated.