Coupling effect of flexible geared rotor on quick-return mechanism undergoing three-dimensional vibration

Regarding the quick-return mechanism, some researchers have neglected the rotor-mechanism coupling effect, and other researchers have combined the quick-return mechanism with the motor but only considered the rotational motion of the rotor by assuming the rotor to be rigid and neglected the gear mesh dynamics. In the study, the rotor-mechanism coupling effect is investigated to find that the dynamic behaviors of the coupled system are different from those uncoupled systems. The coupling effect is mainly due to the flexibility of the shaft, the bearing, and the gear mesh. When the quick-return mechanism is driven with the flexible geared rotor, the vibrations of the geared rotor have significant influences on the dynamic behaviors of the quick-return mechanism. The traditional studies formulated the quick-return mechanism only under the consideration of planar motion. However, the three-dimensional vibration has to be considered for establishing the physical model of the coupled system. The system model is formulated by using finite element method and following Hamiltonian approach. The numerical integration method is applied to obtain the dynamic response. The coupling effect of the geared rotor on the quick-return mechanism undergoing three-dimensional vibration is discussed by the parameter study. It is shown that the bearing stiffness and damping, the shaft radius and the gear transmission error excitation of the meshing gears have significant influences on the dynamic behavior of the mechanism.