Abstract
The pre-stressed modal properties of planetary gears of compound oscillatory roller transmission gear reducer considering the external torque and rotating angular velocity were calculated in this work. For the boundary conditions, the large torque was considered to output gear and angular velocity for applying to middle gear. The resonant frequencies of output gear under external torque were a little higher than the case of no external loads, because the stiffness of gear will be changed with external loads. But the resonant frequencies of middle gear show the no changes under rotating angular velocity, because the low angular velocity and no stiffness change with structure of gear. Finally from the cambell diagram, the calculated resonant frequencies were in the range of safety.
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