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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Main Authors: Nanhao Wu, Hongyin Yang, Haleem Afsar, Bo Wang, Jianfeng Fan
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Sensors
Subjects:
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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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
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