PROPERTY ANALYSIS OF FREE VIBRATION OF

HELICAL PLANETARY GEAR TRAINS

Yang Tongqiang

(Department of Guns Engineering, Ordnance Engineering College, Shijiazhuang 050003)

Song Yimin  Zhang Ce  Wang Shiyu

(School of Mechanical Engineering, Tianjin University, Tianjin 300072)

Abstract: An analytical model of helical planetary gear trains is developed including the gyroscopic effect. Furthermore, many factors are taken into account, such as time varying stiffness, gear run-out errors, mass eccentricity, pinion-pin position errors, and gear profile errors, etc. The characterization of helical planetary gear free vibration is analyzed. Vibration modes are classified into three types: radial translational and torsional mode, axial translational and rotational mode, and planet mode. For each class of mode, reduced-order eigenvalue problems are derived. The characteristics about the eigenvalue number, the mode proportional relation between different planetary gears, and the vibration amplitude for each type of mode are analytically investigated in detail.

Key words: Planetary gear train  Dynamics   Free vibration  Modal

CLC No: TH132.425  TH113

国家自然科学基金(50205019, 50375157)和教育部博士点基金(20040056018)资助项目. Received 20040307, received in revised form 20050121