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.

Highlights

  • The face gear drive plays more and more important role in the power transmission system of helicopter for its ability of torque-split and insensitivity to misalignment error [1,2,3]

  • The reliable dynamic model of the face gear drive is the basis of reducing vibration and improving reliability for the face gear pair of the helicopter

  • Considering the backlash and the time-varying meshing stiffness when the pinion floats, this paper presents a dynamic model of the face gear pair

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Summary

Introduction

The face gear drive plays more and more important role in the power transmission system of helicopter for its ability of torque-split and insensitivity to misalignment error [1,2,3]. [11], Chen et al investigated the nonlinear dynamic responses of face gear drive system by a 6-DOF dynamic model considering backlash, time-varying meshing stiffness, time-varying arm of meshing force and effect of modification. Limited works have been addressed to the dynamic behaviors of the face gear pair considering its application on the transmission system of helicopter. The operating environment of helicopter is complicated and the transmission system often bears alternating loads due to the factors such as backlash, time-varying meshing stiffness and external excitation which will cause gear faults. It is imperative to reveal the intrinsic relations between these factors and the dynamic characteristics of the face gear pair for helicopter

Nonlinear dynamic model of the face gear pair
Calculation of the time-varying meshing stiffness when the pinion floats
Effect of rotational speed of pinion
Effect of supporting stiffness
Conclusions
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