Analysis of Dynamical Behavior of a Planetary Gear Train

摘要

A lumped-parameter model of a single-stage planetary gear train, which included the factors of the floating motion of the centroid of the sun gear, time-varying mesh stiffness, gear meshing transmission errors and gear backlashes, was established. The non-dimensional motion equations of system were solved by the method of numerical integration. The steady responses, namely period-1, period-2, period-4, period-8 and chaotic responses, were obtained under the different non-dimensional excitation frequency. The characteristic of system was described by time history, phase plane plot, Poincare section and FFT spectrum. The period doubling route to chaos was found by changing frequency of system.