摘要

Based on the dynamic theory of the multi-body system, a dynamic model of a gear transmission system is constructed by taking into account the effects of the time-varying mesh stiffness, the tooth backlash, the bearing stiffness and damping, and the speed variation. Then, the dynamic meshing forces of gears and the dynamic forces of housing bearing seats are calculated, and after a flexible housing model is constructed, the natural frequency and modal shapes of the transmission housing are obtained. Finally, by taking the dynamic forces of the housing bearing seats as the excitation, the modal superposition method is adopted to calculate the dynamic response, thus acquiring the information relative to the vibration of the nodes on the housing surface. Simulation results show that, when a constant torque is applied, the vibration acceleration amplitude of the housing surface increases with the increase of the rotating speed, which accords well with the experimental results within a margin of error of 10%.

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