%0 Journal Article %T Coupled vibrations of a drive system during automatic transmission %A Chengyun Su %A Peng Dong %A Shuhan Wang %A Xiangyang Xu %A Yanfang Liu %J Advances in Mechanical Engineering %@ 1687-8140 %D 2019 %R 10.1177/1687814019833508 %X Coupled vibrations are difficult to overcome in automatic transmission with mixed gear trains. In this study, a mathematical model for the bending每torsional每axial每oscillation vibrations of mixed gear trains with parallel-axis gear pairs, a clutch, planetary gear sets and a shaft rotor was developed using the concentrated mass method. The dynamic vibration response and transmission error of the meshing gears in different gears were analysed. The response sensitivity of the vibration parameters was obtained using the design coupling function of the peak每peak dynamic transmission error. The degree of coupling of each part with system vibrations was analysed and it was found that the stiffness and damping of gears influenced the coupled vibrations. Finally, the top seven degrees of coupling were obtained, the first two contributions were taken as the target to improve, the thickness of the P1 gear ring was increased by 5ˋmm and the bushing was added between the P2 planetary and sun gear to increase the stiffness and damping of gears. It could be validated that the vibration performance improved significantly from 3% to 6%. This article presents an analytical method of theoretical and practical value, which can provide a strong basis for reducing the vibrations and noise in automatic transmission %K Automatic transmission %K mixed gear trains %K bending每torsional每axial每oscillation %K coupled vibrations %K response sensitivity %U https://journals.sagepub.com/doi/full/10.1177/1687814019833508