Dynamic modeling and vibration analysis of a flexible gear transmission system

Vibrations of gear transmission systems (GTSs) are the key problems in the machinery industry. In the previous vibration analysis of GTS, the rotor is usually regarded as a rigid part. The rigid-shaft gear-transmission dynamic system RGDS) model cannot solve the differences of vibrations of rotor at different axial positions. To solve this problem, a flexible-shaft gear-transmission system dynamic (FGDS) model is established by using the finite element method. In the FGDS, the GTSs is separated into some flexible shaft segments, gear meshing unit and bearing unit. The bearing stiffness, bearing contact force, time-varying meshing stiffness and damping force of gear are considered. The time-and frequency-domain vibrations of FGDS and RGDS model under different rotational speeds are compared and analyzed. Note that the FGDS can obtain more accurate re-sults than the RGDS model. The vibrations from FGDS are less than those from RGDS model. This paper can give some new approach for the dynamic modeling and vibration analysis of flexible GTSs.

Automated summary

Vibrations are a key issue in gear transmission systems (GTSs) in the machinery industry. Previous vibration analyses treated the rotor as a rigid part, which failed to address the differences in rotor vibrations at different axial positions. To tackle this problem, a flexible-shaft gear-transmission system dynamic (FGDS) model is established using the finite element method. This model takes into account factors such as bearing stiffness, bearing contact force, time-varying meshing stiffness, and damping force. By comparing and analyzing the time and frequency domain vibrations of the FGDS and a rigid-shaft gear-transmission dynamic system (RGDS) model at different rotational speeds, it is found that the FGDS can obtain more accurate results and produces lower vibrations compared to the RGDS model. This study provides a new approach for dynamic modeling and vibration analysis of flexible GTSs.