Simulation and experimental test of load-sharing behavior of planetary gear train with flexible ring gear

For simulation and calculation of load-sharing behavior of planetary gear train by using the lumped mass method, an exact computational model of time-varying meshing stiffness of inner gear meshing pair with thin-walled sleeve was needed. Therefore, based on analysis of the flexible ring gear structure with thin-walled sleeve, an accurately model is proposed to obtain the time-varying internal meshing stiffness. Then, according to Newton’s second law, a group of parametric differential equations of planetary gear system were derived, with which the load-sharing coefficient of the system was obtained. The load-sharing behavior experimental for the planetary gear train with five planetary gears and with flexible ring gear was designed, while the arrangement of the strain gauge was investigated and the test was performed under different working conditions. The test results show that the error of load sharing coefficient calculated by theory and experiment is less than 5 %.