A Novel Model for Train–Track-Bridge Dynamic Interaction Considering Non-Uniform Structural Parameters and Nonlinear Interlayer Contact.

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Title: A Novel Model for Train–Track-Bridge Dynamic Interaction Considering Non-Uniform Structural Parameters and Nonlinear Interlayer Contact.
Authors: Chen, Yao1 (AUTHOR), Feng, Qingsong1 (AUTHOR) fqshdjtdx@aliyun.com, Yang, Zhou1 (AUTHOR), Lei, Xiaoyan1 (AUTHOR), Sheng, Xiaozhen2 (AUTHOR)
Source: International Journal of Structural Stability & Dynamics. 12/15/2025, Vol. 25 Issue 23, p1-30. 30p.
Subjects: Rayleigh-Ritz method, Reduced-order models, Mechanical efficiency, Substructuring techniques, Mathematical optimization
Abstract: The dynamic characteristics of the track and bridge system change continuously with the mileage and operating environment, exhibiting highly significant nonlinear and nonuniform spatial distribution features. Based on the Generalized Rayleigh–Ritz Method (GRRM) and Component Mode Synthesis (CMS), this work presents a novel method to establish a three-dimensional model of train–track–bridge interaction that considers the nonuniform distribution of track–bridge system parameters and the nonlinear contact between track and bridge layers. Unlike traditional Finite Element Method (FEM) models, the GRRM-based structure employs generalized displacements without nodal degrees of freedom, thus avoiding the complex processes of element discretization and assembly when constructing tracks/bridges with nonuniform physical and geometric parameters. Additionally, when dealing with the nonlinear contact relationship between track and bridge layers, this model does not require incremental or iterative methods. By introducing CMS to truncate the modes of each substructure in the track–bridge system and establishing the reduced-order model of the entire system based on boundary conditions at the coupling interface, the matrix dimensions can be effectively reduced, thereby improving computational efficiency. The accuracy and efficiency of this newly developed train–track–bridge dynamic model have been validated through comparisons with FEM-based models and measured results. Finally, several numerical examples demonstrate the engineering practicality of this model. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: A Novel Model for Train–Track-Bridge Dynamic Interaction Considering Non-Uniform Structural Parameters and Nonlinear Interlayer Contact.
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  Data: <searchLink fieldCode="AR" term="%22Chen%2C+Yao%22">Chen, Yao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Feng%2C+Qingsong%22">Feng, Qingsong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> fqshdjtdx@aliyun.com</i><br /><searchLink fieldCode="AR" term="%22Yang%2C+Zhou%22">Yang, Zhou</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lei%2C+Xiaoyan%22">Lei, Xiaoyan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sheng%2C+Xiaozhen%22">Sheng, Xiaozhen</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Structural+Stability+%26+Dynamics%22">International Journal of Structural Stability & Dynamics</searchLink>. 12/15/2025, Vol. 25 Issue 23, p1-30. 30p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Rayleigh-Ritz+method%22">Rayleigh-Ritz method</searchLink><br /><searchLink fieldCode="DE" term="%22Reduced-order+models%22">Reduced-order models</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+efficiency%22">Mechanical efficiency</searchLink><br /><searchLink fieldCode="DE" term="%22Substructuring+techniques%22">Substructuring techniques</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The dynamic characteristics of the track and bridge system change continuously with the mileage and operating environment, exhibiting highly significant nonlinear and nonuniform spatial distribution features. Based on the Generalized Rayleigh–Ritz Method (GRRM) and Component Mode Synthesis (CMS), this work presents a novel method to establish a three-dimensional model of train–track–bridge interaction that considers the nonuniform distribution of track–bridge system parameters and the nonlinear contact between track and bridge layers. Unlike traditional Finite Element Method (FEM) models, the GRRM-based structure employs generalized displacements without nodal degrees of freedom, thus avoiding the complex processes of element discretization and assembly when constructing tracks/bridges with nonuniform physical and geometric parameters. Additionally, when dealing with the nonlinear contact relationship between track and bridge layers, this model does not require incremental or iterative methods. By introducing CMS to truncate the modes of each substructure in the track–bridge system and establishing the reduced-order model of the entire system based on boundary conditions at the coupling interface, the matrix dimensions can be effectively reduced, thereby improving computational efficiency. The accuracy and efficiency of this newly developed train–track–bridge dynamic model have been validated through comparisons with FEM-based models and measured results. Finally, several numerical examples demonstrate the engineering practicality of this model. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1142/S0219455425502426
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      – Code: eng
        Text: English
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        PageCount: 30
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      – SubjectFull: Rayleigh-Ritz method
        Type: general
      – SubjectFull: Reduced-order models
        Type: general
      – SubjectFull: Mechanical efficiency
        Type: general
      – SubjectFull: Substructuring techniques
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      – SubjectFull: Mathematical optimization
        Type: general
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      – TitleFull: A Novel Model for Train–Track-Bridge Dynamic Interaction Considering Non-Uniform Structural Parameters and Nonlinear Interlayer Contact.
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            NameFull: Chen, Yao
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            NameFull: Yang, Zhou
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              Text: 12/15/2025
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              Y: 2025
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