重庆大学学报2025，Vol.48Issue(5)：51-65,15.DOI:10.11835/j.issn.1000-582X.2025.208
含双星排的多级行星机构的扭转振动模态计算分析
Torsional vibration modal analysis of a multistage planetary gear transmission system with a double-planet planetary gear set
摘要
Abstract
The transmission quality and fatigue life of electro-mechanical drive systems can be significantly affected by heavy loads and broadband excitation,which readily trigger torsional vibrations.To study the dynamic behavior of a transmission system composed of both single-planet and double-planet planetary gear sets within a power coupling mechanism,a lumped-parameter dynamic model was developed.This model incorporates the high-order dynamic characteristics of irregular structures and stepped shafts.The torsional modes of individual planetary gear sets and the overall transmission system were calculated and compared with simulation results.In addition,the effects of structural parameters on the natural frequencies of the system were investigated.The results show that the average relative error in natural frequencies between the proposed dynamic model and the simulation model is 1.4%,confirming the model's accuracy.Both individual planetary gear sets and the complete transmission system exhibit three categories of vibration modes:rigid body modes,independent torsional vibration modes of the planet gears,and overall torsional vibration modes.Furthermore,the full transmission system also exhibits localized modes associated with structural irregularities.Sensitivity analysis reveals that the structural parameters most affecting the system's natural frequency,in descending order,are the outer diameter of the input shaft,meshing stiffness,outer diameter of the output shaft,effective meshing width of the planetary gear sets,output equivalent moment of inertia,and input equivalent moment of inertia.Notably,meshing stiffness significantly influences the independent torsional modes of the planetary gears.The methodology presented in this study offers a valuable reference for analyzing torsional vibrations in multistage planetary gear transmission systems.关键词
齿轮/多级行星机构/模态分析/扭转振动/固有频率Key words
gears/multistage planetary train/modal analysis/torsional vibration/natural frequency分类
机械工程引用本文复制引用
邢庆坤,冯锦平,张静,秦大同..含双星排的多级行星机构的扭转振动模态计算分析[J].重庆大学学报,2025,48(5):51-65,15.基金项目
国家自然科学基金资助项目(52375040) （52375040）
湖北科技学院校内科研发展基金资助项目(BK202019).Supported by National Natural Science Foundation of China(52375040),and Scientific Research Development Foundation of Hubei University of Science and Technology(BK202019). （BK202019）
