Abstract:

The face gear pair has been applied in the main reducer of helicopter. Considering the nonlinear backlash, time-varying meshing stiffness and static transmission error, a six degree-of-freedom lumped parameter dynamic model coupling with flexional, torsional and axial motion of the face gear pair for helicopter is developed. This model takes the floating of the pinion as the boundary condition. The nonlinear dynamic characteristics of the face gear pair are analyzed by the help of bifurcation diagram. The effects of rotational speed and supporting stiffness of the pinion on the dynamic responses of the face gear pair are studied in detail by using numerical method. Numerical examples reveal several dynamic evolution mechanisms and motion states including periodic-1, periodic-2, chaotic and quasi-periodic motions. Some research results are helpful for vibration control and dynamic design of the face gear pair for helicopter.

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