{"title":"Dynamic characteristics of rigid-flexible coupled planetary gear-bearing-rotor system considering the tooth surface lubrication friction and roughness","authors":"Ning Liu , Hui Ma , Xiangfu Ding , Jiaqi Liu","doi":"10.1016/j.mechmachtheory.2025.106259","DOIUrl":null,"url":null,"abstract":"<div><div>A novel rigid-flexible coupled planetary gear-bearing-rotor (PBR) dynamic model with bearing-gear coupling effect, modulation of the planetary carrier, roughness, and friction under different lubrication states is established. The necessity of the bearing nonlinear force, the flexible ring and the modulation of the planet carrier in the model is verified through experiments. The improved friction coefficient and the meshing stiffness with lubrication friction are proposed based on elastohydrodynamic lubrication (EHL) and the three-dimensional loaded tooth contact analysis (3D-LTCA) method. The influence of friction under different lubrication conditions on the dynamic characteristics of the PBR system is analyzed. Some interesting phenomena are as follows: friction coefficient of the mixed EHL is greater than that of the EHL at the pitch point. Compared with friction introduced into the stiffness model, the friction introduced into kinematic equations has a greater impact on the PBR system. The low-frequency energy ratio is more sensitive to friction. Meanwhile, compared with the model without friction, friction leads to an increase in the contact force, contact stiffness and contact area of the ball-race, and the dynamic meshing force (DMF).</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"217 ","pages":"Article 106259"},"PeriodicalIF":5.9000,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanism and Machine Theory","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0094114X25003489","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/10/15 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
A novel rigid-flexible coupled planetary gear-bearing-rotor (PBR) dynamic model with bearing-gear coupling effect, modulation of the planetary carrier, roughness, and friction under different lubrication states is established. The necessity of the bearing nonlinear force, the flexible ring and the modulation of the planet carrier in the model is verified through experiments. The improved friction coefficient and the meshing stiffness with lubrication friction are proposed based on elastohydrodynamic lubrication (EHL) and the three-dimensional loaded tooth contact analysis (3D-LTCA) method. The influence of friction under different lubrication conditions on the dynamic characteristics of the PBR system is analyzed. Some interesting phenomena are as follows: friction coefficient of the mixed EHL is greater than that of the EHL at the pitch point. Compared with friction introduced into the stiffness model, the friction introduced into kinematic equations has a greater impact on the PBR system. The low-frequency energy ratio is more sensitive to friction. Meanwhile, compared with the model without friction, friction leads to an increase in the contact force, contact stiffness and contact area of the ball-race, and the dynamic meshing force (DMF).
期刊介绍:
Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal.
The main topics are:
Design Theory and Methodology;
Haptics and Human-Machine-Interfaces;
Robotics, Mechatronics and Micro-Machines;
Mechanisms, Mechanical Transmissions and Machines;
Kinematics, Dynamics, and Control of Mechanical Systems;
Applications to Bioengineering and Molecular Chemistry