Stability of motion state and bifurcation properties of planetary gear train

Abstract

A nonlinear lateral-torsional coupled vibration model of a planetary gear system was established by taking transmission errors, time varying meshing stiffness and multiple gear backlashes into account. The bifurcation diagram of the system’s motion state with rotational speed of sun gear was conducted through four steps. As a bifurcation parameter, the effect of rotational speed on the bifurcation properties of the system was assessed. The study results reveal that periodic motion is the main motion state of planetary gear train in low speed region when n_s<2 350 r/min, but chaos motion state is dominant in high speed region when n_s>2 350 r/min, The way of periodic motion to chaos is doubling bifurcation. There are two kinds of unstable modes and nine unstable regions in the speed region when 1 000 r/minn_s<3 000 r/min.

Keywords

planetary gear train / nonlinear dynamical model / stability of motion state / bifurcation properties

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