Analysis of the nonlinear dynamic behavior of longitudinal systems in heavy-haul trains
The payload, coupler slack, and buffer device performance in heavy-haul trains substantially affect their longitudinal dynamic systems under operational conditions. These factors result in the bifurcation of the system, consequently leading to chaos. To study this phenomenon in depth, a two-degrees-...
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| Language: | English |
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AIMS Press
2025-02-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2025027 |
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| author | Leiting Wang Yang Jin Wangxiang Li Chenyang Tang |
| author_facet | Leiting Wang Yang Jin Wangxiang Li Chenyang Tang |
| author_sort | Leiting Wang |
| collection | DOAJ |
| description | The payload, coupler slack, and buffer device performance in heavy-haul trains substantially affect their longitudinal dynamic systems under operational conditions. These factors result in the bifurcation of the system, consequently leading to chaos. To study this phenomenon in depth, a two-degrees-of-freedom longitudinal dynamics model of the train is established. The system is analyzed using the fourth-order Runge–Kutta (R-K_4) numerical integration method, incorporating bifurcation diagrams, phase planes, Poincaré mapping, and time-domain analysis to elucidate the trajectory of the system as it transitions into a chaotic state of motion via period-doubling bifurcations and quasi-periodic motions. A comprehensive analysis of the complex nonlinear dynamics of the train's longitudinal system can establish a theoretical foundation for forecasting and regulating the chaotic motion of the train system. |
| format | Article |
| id | doaj-art-1b6ff8ff364744b78fba2c8c9872802a |
| institution | OA Journals |
| issn | 2688-1594 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-1b6ff8ff364744b78fba2c8c9872802a2025-08-20T02:26:19ZengAIMS PressElectronic Research Archive2688-15942025-02-0133258259910.3934/era.2025027Analysis of the nonlinear dynamic behavior of longitudinal systems in heavy-haul trainsLeiting Wang0Yang Jin1Wangxiang Li2Chenyang Tang3School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaNational Key Laboratory of Rail Transit Carrying Systems, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaSchool of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaThe payload, coupler slack, and buffer device performance in heavy-haul trains substantially affect their longitudinal dynamic systems under operational conditions. These factors result in the bifurcation of the system, consequently leading to chaos. To study this phenomenon in depth, a two-degrees-of-freedom longitudinal dynamics model of the train is established. The system is analyzed using the fourth-order Runge–Kutta (R-K_4) numerical integration method, incorporating bifurcation diagrams, phase planes, Poincaré mapping, and time-domain analysis to elucidate the trajectory of the system as it transitions into a chaotic state of motion via period-doubling bifurcations and quasi-periodic motions. A comprehensive analysis of the complex nonlinear dynamics of the train's longitudinal system can establish a theoretical foundation for forecasting and regulating the chaotic motion of the train system.https://www.aimspress.com/article/doi/10.3934/era.2025027heavy-haul trainscoupler buffer deviceperiodic motionbifurcationchaos |
| spellingShingle | Leiting Wang Yang Jin Wangxiang Li Chenyang Tang Analysis of the nonlinear dynamic behavior of longitudinal systems in heavy-haul trains Electronic Research Archive heavy-haul trains coupler buffer device periodic motion bifurcation chaos |
| title | Analysis of the nonlinear dynamic behavior of longitudinal systems in heavy-haul trains |
| title_full | Analysis of the nonlinear dynamic behavior of longitudinal systems in heavy-haul trains |
| title_fullStr | Analysis of the nonlinear dynamic behavior of longitudinal systems in heavy-haul trains |
| title_full_unstemmed | Analysis of the nonlinear dynamic behavior of longitudinal systems in heavy-haul trains |
| title_short | Analysis of the nonlinear dynamic behavior of longitudinal systems in heavy-haul trains |
| title_sort | analysis of the nonlinear dynamic behavior of longitudinal systems in heavy haul trains |
| topic | heavy-haul trains coupler buffer device periodic motion bifurcation chaos |
| url | https://www.aimspress.com/article/doi/10.3934/era.2025027 |
| work_keys_str_mv | AT leitingwang analysisofthenonlineardynamicbehavioroflongitudinalsystemsinheavyhaultrains AT yangjin analysisofthenonlineardynamicbehavioroflongitudinalsystemsinheavyhaultrains AT wangxiangli analysisofthenonlineardynamicbehavioroflongitudinalsystemsinheavyhaultrains AT chenyangtang analysisofthenonlineardynamicbehavioroflongitudinalsystemsinheavyhaultrains |