Modeling and Characterization of Complex Dynamical Properties of Railway Ballast

The nonlinear mechanical properties of ballasted tracks along railways result in complex dynamics of the vehicle–track systems. Employing localized characterization of ballast and a simplified model might underestimate the vehicle–track system’s dynamical responses and safety. This paper presents a...

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Main Authors: Xia Hua, Wael Zatar, Xiangle Cheng, Gang S. Chen, Yini She, Xiaotian Xu, Zhicheng Liao
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/14/23/11224
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author Xia Hua
Wael Zatar
Xiangle Cheng
Gang S. Chen
Yini She
Xiaotian Xu
Zhicheng Liao
author_facet Xia Hua
Wael Zatar
Xiangle Cheng
Gang S. Chen
Yini She
Xiaotian Xu
Zhicheng Liao
author_sort Xia Hua
collection DOAJ
description The nonlinear mechanical properties of ballasted tracks along railways result in complex dynamics of the vehicle–track systems. Employing localized characterization of ballast and a simplified model might underestimate the vehicle–track system’s dynamical responses and safety. This paper presents a new dynamical stiffness model of railway ballast by incorporating the ballast’s time-varying, nonlinear viscoelastic, and elastoplastic properties. The new nonlinear stiffness model is a versatile tool that comprehensively characterizes the ballast characteristics of displacement-dependent stiffness, frequency-dependent stiffness, hysteresis, and time/space-varying features. These features, widely reported in previous experimental research, can now be effectively understood. Conventionally, to characterize time/space-varying characteristics of ballast along the track, ground-penetrating radar (GPR) has been used as the most efficient approach to survey railway networks quickly and to infer track dynamical properties. Aiming to improve the present technique for characterizing time/space-varying properties of ballast stiffness by using a GPR signal, the adaptive optimal kernel time–frequency representation (AOKTFR) method is used to process a typical GPR signal from a railway ballast scanning. It is found that the results of AOKTFR exhibit a clear time-varying pattern and precise frequency modulation. In contrast, the conventional time–frequency methods failed to give a clear time-varying pattern. The results illustrate that AOKTFR is a practical approach for processing the time-varying nonlinear signal of GPR and correlating it with the time-varying nonlinear stiffness of ballast.
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spelling doaj-art-0f8a16d1b1494a1b8cf28145dea062b72024-12-13T16:23:12ZengMDPI AGApplied Sciences2076-34172024-12-0114231122410.3390/app142311224Modeling and Characterization of Complex Dynamical Properties of Railway BallastXia Hua0Wael Zatar1Xiangle Cheng2Gang S. Chen3Yini She4Xiaotian Xu5Zhicheng Liao6College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaCollege of Engineering and Computer Sciences, Marshall University, Huntington, WV 25755, USACollege of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaCollege of Engineering and Computer Sciences, Marshall University, Huntington, WV 25755, USACollege of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaDepartment of Mechanical Engineering, University of Maryland College Park, College Park, MD 20742, USACollege of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaThe nonlinear mechanical properties of ballasted tracks along railways result in complex dynamics of the vehicle–track systems. Employing localized characterization of ballast and a simplified model might underestimate the vehicle–track system’s dynamical responses and safety. This paper presents a new dynamical stiffness model of railway ballast by incorporating the ballast’s time-varying, nonlinear viscoelastic, and elastoplastic properties. The new nonlinear stiffness model is a versatile tool that comprehensively characterizes the ballast characteristics of displacement-dependent stiffness, frequency-dependent stiffness, hysteresis, and time/space-varying features. These features, widely reported in previous experimental research, can now be effectively understood. Conventionally, to characterize time/space-varying characteristics of ballast along the track, ground-penetrating radar (GPR) has been used as the most efficient approach to survey railway networks quickly and to infer track dynamical properties. Aiming to improve the present technique for characterizing time/space-varying properties of ballast stiffness by using a GPR signal, the adaptive optimal kernel time–frequency representation (AOKTFR) method is used to process a typical GPR signal from a railway ballast scanning. It is found that the results of AOKTFR exhibit a clear time-varying pattern and precise frequency modulation. In contrast, the conventional time–frequency methods failed to give a clear time-varying pattern. The results illustrate that AOKTFR is a practical approach for processing the time-varying nonlinear signal of GPR and correlating it with the time-varying nonlinear stiffness of ballast.https://www.mdpi.com/2076-3417/14/23/11224vehicle–track systemrailway ballast stiffnessballast mechanical propertiesGPRsignal processing
spellingShingle Xia Hua
Wael Zatar
Xiangle Cheng
Gang S. Chen
Yini She
Xiaotian Xu
Zhicheng Liao
Modeling and Characterization of Complex Dynamical Properties of Railway Ballast
Applied Sciences
vehicle–track system
railway ballast stiffness
ballast mechanical properties
GPR
signal processing
title Modeling and Characterization of Complex Dynamical Properties of Railway Ballast
title_full Modeling and Characterization of Complex Dynamical Properties of Railway Ballast
title_fullStr Modeling and Characterization of Complex Dynamical Properties of Railway Ballast
title_full_unstemmed Modeling and Characterization of Complex Dynamical Properties of Railway Ballast
title_short Modeling and Characterization of Complex Dynamical Properties of Railway Ballast
title_sort modeling and characterization of complex dynamical properties of railway ballast
topic vehicle–track system
railway ballast stiffness
ballast mechanical properties
GPR
signal processing
url https://www.mdpi.com/2076-3417/14/23/11224
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AT gangschen modelingandcharacterizationofcomplexdynamicalpropertiesofrailwayballast
AT yinishe modelingandcharacterizationofcomplexdynamicalpropertiesofrailwayballast
AT xiaotianxu modelingandcharacterizationofcomplexdynamicalpropertiesofrailwayballast
AT zhichengliao modelingandcharacterizationofcomplexdynamicalpropertiesofrailwayballast