Analysis of Train–Track–Bridge Coupling Vibration Characteristics for Heavy-Haul Railway Based on Virtual Work Principle
This paper introduces an innovative model for heavy-haul train–track–bridge interaction, utilizing a coupling matrix representation based on the virtual work principle. This model establishes the relationship between the wheel–rail contact surface and the bridge–rail interface concerning internal fo...
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MDPI AG
2023-10-01
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Series: | Sensors |
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Online Access: | https://www.mdpi.com/1424-8220/23/20/8550 |
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author | Nanhao Wu Hongyin Yang Haleem Afsar Bo Wang Jianfeng Fan |
author_facet | Nanhao Wu Hongyin Yang Haleem Afsar Bo Wang Jianfeng Fan |
author_sort | Nanhao Wu |
collection | DOAJ |
description | This paper introduces an innovative model for heavy-haul train–track–bridge interaction, utilizing a coupling matrix representation based on the virtual work principle. This model establishes the relationship between the wheel–rail contact surface and the bridge–rail interface concerning internal forces and geometric constraints. In this coupled system’s motion equation, the degrees of freedom (DOFs) of the wheelsets in a heavy-haul train lacking primary suspension are interdependent. Additionally, the vertical and nodding DOFs of the bogie frame are linked with the rail element. A practical application, a Yellow River Bridge with a heavy-haul railway line, is used to examine the accuracy of the proposed model with regard to discrepancy between the simulated and measured displacement ranging from 1% to 11%. A comprehensive parametric analysis is conducted, exploring the impacts of track irregularities of varying wavelengths, axle load lifting, and the degradation of bridge stiffness and damping on the dynamic responses of the coupled system. The results reveal that the bridge’s dynamic responses are particularly sensitive to track irregularities within the wavelength range of 1 to 20 m, especially those within 1 to 10 m. The vertical displacement of the bridge demonstrates a nearly linear increase with heavier axle loads of the heavy-haul trains and the reduction in bridge stiffness. However, there is no significant rise in vertical acceleration under these conditions. |
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format | Article |
id | doaj.art-f69775f5c7bb4584a6eee34ced4dc9e9 |
institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-03-10T20:55:14Z |
publishDate | 2023-10-01 |
publisher | MDPI AG |
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series | Sensors |
spelling | doaj.art-f69775f5c7bb4584a6eee34ced4dc9e92023-11-19T18:04:38ZengMDPI AGSensors1424-82202023-10-012320855010.3390/s23208550Analysis of Train–Track–Bridge Coupling Vibration Characteristics for Heavy-Haul Railway Based on Virtual Work PrincipleNanhao Wu0Hongyin Yang1Haleem Afsar2Bo Wang3Jianfeng Fan4School of Civil Engineering and Architecture, Wuhan Institute of Technology, Wuhan 430073, ChinaSchool of Civil Engineering and Architecture, Wuhan Institute of Technology, Wuhan 430073, ChinaDepartment of Civil and Airport Engineering, College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaNational Key Laboratory of Bridge Intelligent and Green Construction, Wuhan 430034, ChinaWuhan Mafangshan Engineering Structure Testing Co., Ltd., Wuhan 430070, ChinaThis paper introduces an innovative model for heavy-haul train–track–bridge interaction, utilizing a coupling matrix representation based on the virtual work principle. This model establishes the relationship between the wheel–rail contact surface and the bridge–rail interface concerning internal forces and geometric constraints. In this coupled system’s motion equation, the degrees of freedom (DOFs) of the wheelsets in a heavy-haul train lacking primary suspension are interdependent. Additionally, the vertical and nodding DOFs of the bogie frame are linked with the rail element. A practical application, a Yellow River Bridge with a heavy-haul railway line, is used to examine the accuracy of the proposed model with regard to discrepancy between the simulated and measured displacement ranging from 1% to 11%. A comprehensive parametric analysis is conducted, exploring the impacts of track irregularities of varying wavelengths, axle load lifting, and the degradation of bridge stiffness and damping on the dynamic responses of the coupled system. The results reveal that the bridge’s dynamic responses are particularly sensitive to track irregularities within the wavelength range of 1 to 20 m, especially those within 1 to 10 m. The vertical displacement of the bridge demonstrates a nearly linear increase with heavier axle loads of the heavy-haul trains and the reduction in bridge stiffness. However, there is no significant rise in vertical acceleration under these conditions.https://www.mdpi.com/1424-8220/23/20/8550heavy-haul railway bridgetrain–track–bridge coupling systemvirtual work principletrack irregularitydisplacementacceleration |
spellingShingle | Nanhao Wu Hongyin Yang Haleem Afsar Bo Wang Jianfeng Fan Analysis of Train–Track–Bridge Coupling Vibration Characteristics for Heavy-Haul Railway Based on Virtual Work Principle Sensors heavy-haul railway bridge train–track–bridge coupling system virtual work principle track irregularity displacement acceleration |
title | Analysis of Train–Track–Bridge Coupling Vibration Characteristics for Heavy-Haul Railway Based on Virtual Work Principle |
title_full | Analysis of Train–Track–Bridge Coupling Vibration Characteristics for Heavy-Haul Railway Based on Virtual Work Principle |
title_fullStr | Analysis of Train–Track–Bridge Coupling Vibration Characteristics for Heavy-Haul Railway Based on Virtual Work Principle |
title_full_unstemmed | Analysis of Train–Track–Bridge Coupling Vibration Characteristics for Heavy-Haul Railway Based on Virtual Work Principle |
title_short | Analysis of Train–Track–Bridge Coupling Vibration Characteristics for Heavy-Haul Railway Based on Virtual Work Principle |
title_sort | analysis of train track bridge coupling vibration characteristics for heavy haul railway based on virtual work principle |
topic | heavy-haul railway bridge train–track–bridge coupling system virtual work principle track irregularity displacement acceleration |
url | https://www.mdpi.com/1424-8220/23/20/8550 |
work_keys_str_mv | AT nanhaowu analysisoftraintrackbridgecouplingvibrationcharacteristicsforheavyhaulrailwaybasedonvirtualworkprinciple AT hongyinyang analysisoftraintrackbridgecouplingvibrationcharacteristicsforheavyhaulrailwaybasedonvirtualworkprinciple AT haleemafsar analysisoftraintrackbridgecouplingvibrationcharacteristicsforheavyhaulrailwaybasedonvirtualworkprinciple AT bowang analysisoftraintrackbridgecouplingvibrationcharacteristicsforheavyhaulrailwaybasedonvirtualworkprinciple AT jianfengfan analysisoftraintrackbridgecouplingvibrationcharacteristicsforheavyhaulrailwaybasedonvirtualworkprinciple |