{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:37:03Z","timestamp":1753882623811,"version":"3.41.2"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"name":"Natural Science Fund for Distinguished Young Scholars","award":["2025GXNSFFA069016"],"award-info":[{"award-number":["2025GXNSFFA069016"]}]},{"name":"Science and Technology Major Program","award":["AA24263074","AA23073019"],"award-info":[{"award-number":["AA24263074","AA23073019"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["52265004"],"award-info":[{"award-number":["52265004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"State Key Laboratory of Intelligent Manufacturing Equipment and Technology","award":["IMETKF2025021"],"award-info":[{"award-number":["IMETKF2025021"]}]},{"name":"State Key Laboratory of Precision Manufacturing for Extreme Service Performance-Central South University","award":["Kfkt2023-06"],"award-info":[{"award-number":["Kfkt2023-06"]}]},{"name":"High-end Basic Component Innovation Station","award":["KY01080030124001"],"award-info":[{"award-number":["KY01080030124001"]}]},{"name":"Academician Mao Ming's Workstation","award":["XSJSFWQNKXJ-202404-007"],"award-info":[{"award-number":["XSJSFWQNKXJ-202404-007"]}]},{"name":"Technology Innovation Platform Project of China Aviation Engine Group Corporation","award":["CXPT-2023-044"],"award-info":[{"award-number":["CXPT-2023-044"]}]},{"name":"National Defense Science and Technology Innovation Special Zone","award":["YCSW2024009"],"award-info":[{"award-number":["YCSW2024009"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,4]]},"abstract":"<jats:p> Due to the unique structure and transmission ratio of the Ravigneaux planetary gearset, this paper investigates the nonlinear vibration characteristics of the Ravigneaux planetary gearset transmission systems. First, a dynamic model of the Ravigneaux planetary gearset transmission systems is established, considering nonlinear factors such as time-varying meshing stiffness, comprehensive equivalent errors, tooth clearance, and time-varying friction. Next, the dynamic equations are formulated and solved. The nonlinear behavior of the system is characterized through phase diagrams, Poincar\u00e9 diagrams, time-domain plots, and frequency-domain plots. The bifurcation diagram and three-dimensional spectrum diagram illustrate how different external load excitation frequencies affect the system\u2019s nonlinear behavior. The results indicate that as the external load excitation changes, the system\u2019s motion state transits from chaotic to bifurcation and ultimately to periodic motion. Finally, the multiscale method is employed to examine the effects of various parameters on the main resonance characteristics of the system, determining the stability conditions for the primary resonance. The principal resonance analysis reveals that increasing damping, stiffness, and fluctuations in the external load can enhance the system\u2019s stability. <\/jats:p>","DOI":"10.1142\/s0218127425500580","type":"journal-article","created":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T01:36:31Z","timestamp":1742175391000},"source":"Crossref","is-referenced-by-count":0,"title":["Nonlinear Dynamics of Ravigneaux Planetary Gearset in Automobile Transmission Systems"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3305-004X","authenticated-orcid":false,"given":"Shuai","family":"Mo","sequence":"first","affiliation":[{"name":"State Key Laboratory of Featured Metal Materials and Life-Cycle Safety for Composite Structures, Guangxi University, Nanning 530004, P.\u00a0R.\u00a0China"},{"name":"School of Mechanical Engineering, Guangxi University, Nanning 530004, P.\u00a0R.\u00a0China"},{"name":"State Key Laboratory of Precision Manufacturing for Extreme Service Performance, Central South University, Changsha 410083, P.\u00a0R.\u00a0China"},{"name":"State Key Laboratory of Intelligent Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, P.\u00a0R.\u00a0China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-1136-4131","authenticated-orcid":false,"given":"Taojiang","family":"Huang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Featured Metal Materials and Life-Cycle Safety for Composite Structures, Guangxi University, Nanning 530004, P.\u00a0R.\u00a0China"},{"name":"School of Mechanical Engineering, Guangxi University, Nanning 530004, P.\u00a0R.\u00a0China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-7352-5000","authenticated-orcid":false,"given":"Yongjun","family":"Hu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Featured Metal Materials and Life-Cycle Safety for Composite Structures, Guangxi University, Nanning 530004, 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