To study the nonlinear dynamic characteristics of 2K-H planetary gear train, a translation-torsion coupling dynamic model is established taking the nonlinear factors like time-varying mesh stiffness, synthetic meshing error and gear backlash into account, and the dimensionless kinematic differential equations of 18 degrees of freedom for the system are derived. The influences of meshing frequency, damping and backlash on the system’s bifurcation and chaos characteristic are analyzed through the phase trajectory, Poincare graph and time history plot. The results show that the system will come into chaotic state through catastrophe way with the increase of meshing frequency. The system can get rid of chaotic movement into periodic motion state by increasing the damping. The dynamic response of the system is sensitive to backlash in high speed and light load while the response is only the change of amplitude not dynamic behavior in certain backlash ranges.
Key words
2K-H planetary gear train /
nonlinear /
transverse-torsional coupled /
dynamic characteristics
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