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On-line Access: 2025-06-25

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Chaozhi MA

https://orcid.org/0000-0002-0718-6659

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Journal of Zhejiang University SCIENCE A 2025 Vol.26 No.6 P.585-604

http://doi.org/10.1631/jzus.A2400462


Vibration characteristics of ballastless track and its effect on wheel‍–‍rail broadband dynamic interaction


Author(s):  Chaozhi MA, Liang GAO, Pu WANG, Bolun AN, Peng ZHOU, Mahantesh M NADAKATTI

Affiliation(s):  School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China; more

Corresponding email(s):   lgao@bjtu.edu.cn, wpwp2012@yeah.net

Key Words:  Ballastless track, Higher-order modal testing, Wheel‍, –, rail dynamic load (WRL), Vibration energy transfer (VET), Intermodulation effect, Rational stiffness


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Chaozhi MA, Liang GAO, Pu WANG, Bolun AN, Peng ZHOU, Mahantesh M NADAKATTI. Vibration characteristics of ballastless track and its effect on wheel‍–‍rail broadband dynamic interaction[J]. Journal of Zhejiang University Science A, 2025, 26(6): 585-604.

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Abstract: 
The wheel‍;;‍rail dynamic load (WRL) and its vibration energy transfer (VET) are foundational for studying ballastless track dynamics in high-speed railways. In this study, the higher-order modal parameters of track beds with different isolating layers were identified experimentally and a vehicle‍;track coupled dynamic model considering track bed broadband vibrations (TBBVs) was established. The WRL and its VET were investigated, and the contribution law as well as the influence mechanism of TBBVs on them was determined. The results showed the WRL and track bed vibration energy exhibited significant resonances, with more prominent high-frequency resonance peaks in the track bed vibration energy. TBBVs had a significant effect on low-frequency WRLs, and markedly influenced the VET across various frequency bands. Intense low-frequency and weak high-frequency intermodulation effects between the wheel‍;;rail and track beds were observed. The effect of track bed vibrations can be disregarded when focusing on high-frequency WRLs above 200 Hz. Variations in the isolating layer stiffness have more significant effects on the track bed vibration energy than the WRL. rational stiffness of the isolating layer should be selected to avoid mode-coupling resonance from track beds to the wheel‍;;‍rail subsystem.

无砟轨道振动特性及其对轮轨宽频动态相互作用的影响机理

作者:马超智1,高亮2,王璞3,安博伦4,周鹏1,Mahantesh M NADAKATTI5
机构:1中国矿业大学,力学与土木工程学院,中国徐州,221116;2北京交通大学,土木建筑工程学院,中国北京,100044;3中国铁道科学研究院集团有限公司,铁道建筑研究所,中国北京,100081;4中国铁道科学研究院集团有限公司,金属及化学研究所,中国北京,100081;5高格特理工学院,机械工程系,印度贝尔高姆
目的:明确轮轨动载及其在无砟轨道中传递规律对提升高铁轨道动力学性能具有的重要意义。本文旨在探讨无砟道床自身振动特性对轮轨动载及其振动能量传递的贡献规律,以及阐明无砟道床参振对轮轨宽频动态相互作用的影响机理。
创新点:1.首次通过现场试验辨识了铺设不同隔离层(土工布、缓冲垫层等)下无砟道床的高阶模态参数;2.构建了精细考虑无砟轨道宽频振动特性的车辆-轨道动态相互作用分析模型;3.从模态互调的角度阐明了无砟道床参振对轮轨宽频相互作用的贡献规律和影响机理。
方法:1.通过布设密集的激励点和多个非对称排列的响应点,并结合每个响应点相干函数的实时评估及优化,辨识出无砟道床的高阶模态参数(图4和5);2.融合试验辨识模态和理论仿真模态,并运用模态叠加法精细构建车辆-无砟轨道相互作用模型(图6);3.基于无砟道床和轮轨子系统各自模态分析以及耦合下模态互调分析,阐明无砟道床参振对轮轨宽频相互作用的影响机理(图21~23)。
结论:1.无砟道床参振仅对轮轨低频动载有显著贡献,而对无砟轨道全频段振动能量传递规律均有影响;2.无砟道床和轮轨子系统间分别在低频和高频存在强烈和微弱的模态互调效应,而当聚焦在200 Hz以上的轮轨高频动态相互作用时可忽略无砟道床参振的影响;3.隔离层合理刚度的选取应避免无砟道床与轮轨子系统间的模态耦合共振,以减弱无砟轨道的振动能量。

关键词:无砟轨道;高阶模态辨识;轮轨动载;振动能量传递;互调效应;合理刚度

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]AggestamE, NielsenJCO, 2020. Simulation of vertical dynamic vehicle‍–track interaction using a three-dimensional slab track model. Engineering Structures, 222:110972.

[2]AuerschL, SaidS, 2021. Dynamic track-soil interaction—calculations and measurements of slab and ballast tracks. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 22(1):21-36.

[3]BlancoB, AlonsoA, KariL, et al., 2018. Distributed support modelling for vertical track dynamic analysis. Vehicle System Dynamics, 56(4):529-552.

[4]CaiXP, LiangYK, XinT, et al., 2019. Assessing the effects of subgrade frost heave on vehicle dynamic behaviors on high-speed railway. Cold Regions Science and Technology, 158:95-105.

[5]ChenM, SunY, GuoY, et al., 2019. Study on effect of wheel polygonal wear on high-speed vehicle-track-subgrade vertical interactions. Wear, 432-433:102914.

[6]ClotA, RomeuJ, ArcosR, et al., 2014. A power flow analysis of a double-deck circular tunnel embedded in a full-space. Soil Dynamics and Earthquake Engineering, 57:1-9.

[7]El KacimiA, WoodwardPK, LaghroucheO, et al., 2013. Time domain 3D finite element modelling of train-induced vibration at high speed. Computers & Structures, 118:66-73.

[8]GhangaleD, ArcosR, ClotA, et al., 2020. A methodology based on 2.5D FEM-BEM for the evaluation of the vibration energy flow radiated by underground railway infrastructures. Tunnelling and Underground Space Technology, 101:103392.

[9]GouHY, GaoH, BanXL, et al., 2023. Vibration energy transmission in high-speed train-track-bridge coupled systems. Engineering Structures, 297:117019.

[10]GuptaS, DegrandeG, 2010. Modelling of continuous and discontinuous floating slab tracks in a tunnel using a periodic approach. Journal of Sound and Vibration, 329(8):‍1101-1125.

[11]HuBT, ShanY, ZhaoY, et al., 2025. Tunneling beneath the pile-raft foundations of high-speed railways: progressive arching deformation and pile settlement behavior. Underground Space, in press.

[12]HusseinMFM, HuntHEM, 2006. A power flow method for evaluating vibration from underground railways. Journal of Sound and Vibration, 293(3-5):667-679.

[13]JohanssonA, NielsenJCO, 2007. Rail corrugation growth—influence of powered wheelsets with wheel tread irregularities. Wear, 262(11-12):1296-1307.

[14]KalkerJJ, 1982. A fast algorithm for the simplified theory of rolling contact. Vehicle System Dynamics, 11(1):1-13.

[15]KayniaAM, MadshusC, ZackrissonP, 2000. Ground vibration from high-speed trains: prediction and countermeasure. Journal of Geotechnical and Geoenvironmental Engineering, 126(6):531-537.

[16]LiQ, LiWQ, WuDJ, et al., 2016. A combined power flow and infinite element approach to the simulation of medium-frequency noise radiated from bridges and rails. Journal of Sound and Vibration, 365:134-156.

[17]LingL, XiaoXB, XiongJY, et al., 2014. A 3D model for coupling dynamics analysis of high-speed train/track system. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 15(12):964-983.

[18]LingL, JiangPB, WangKY, et al., 2020. Dynamic interaction between rail vehicles and vibration-attenuating slab tracks. Construction and Building Materials, 258:119545.

[19]LiuC, XuJM, WangK, et al., 2022. Numerical investigation on wheel-rail impact contact solutions excited by rail spalling failure. Engineering Failure Analysis, 135:106116.

[20]LuoJ, ZhuSY, ZhaiWM, 2019. An efficient model for vehicle-slab track coupled dynamic analysis considering multiple slab cracks. Construction and Building Materials, 215:557-568.

[21]LuoJ, ZhuSY, ZhaiWM, 2020. Development of a track dynamics model using Mindlin plate theory and its application to coupled vehicle-floating slab track systems. Mechanical Systems and Signal Processing, 140:106641.

[22]MaCZ, GaoL, XinT, et al., 2021. The dynamic resonance under multiple flexible wheelset-rail interactions and its influence on rail corrugation for high-speed railway. Journal of Sound and Vibration, 498:115968.

[23]MaCZ, GaoL, XuY, et al., 2023. Initiation mechanism analysis of wheel polygonal wear on high-speed railway based on refined vibration model for ballastless track system. Journal of Sound and Vibration, 559:117782.

[24]Martínez-CasasJ, Giner-NavarroJ, BaezaL, et al., 2017. Improved railway wheelset‍–‍track interaction model in the high-frequency domain. Journal of Computational and Applied Mathematics, 309:642-653.

[25]MaziluT, 2017. Interaction between moving tandem wheels and an infinite rail with periodic supports‍–‍Green’s matrices of the track method in stationary reference frame. Journal of Sound and Vibration, 401:233-254.

[26]MiaoSJ, GaoL, TongFZ, et al., 2023. Ballastless track mortar layer void detection by high-order statistical analysis of axle box acceleration. Measurement, 211:112681.

[27]NiAC, ShiZF, MengQJ, 2024. Broadband surface wave attenuation in porous soil by elastic metasurfaces. International Journal of Mechanical Sciences, 264:108838.

[28]PiotrowskiJ, KikW, 2008. A simplified model of wheel/rail contact mechanics for non-Hertzian problems and its application in rail vehicle dynamic simulations. Vehicle System Dynamics, 46(1-2):27-48.

[29]RenJJ, YanYF, HuHF, et al., 2019. Analysis method on time-history characteristics of rail supporting force for mixed passenger and freight railway with ballastless track. Journal of Traffic and Transportation Engineering, 19(2):‍82-91 (in Chinese).

[30]RenJJ, DuJH, ZhangKY, et al., 2024. Transfer relation between subgrade frost heave and slab track deformation and vehicle dynamic response in seasonally frozen ground. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 25(2):130-146.

[31]Sainz-AjaJ, PomboJ, TholkenD, et al, 2020. Dynamic calibration of slab track models for railway applications using full-scale testing. Computers & Structures, 228:106180.

[32]SarikavakY, GodaK, 2022. Dynamic wheel/rail interactions for high-speed trains on a ballasted track. Journal of Mechanical Science and Technology, 36(2):689-698.

[33]SatoY, 1977. Study on High-Frequency Vibrations in Track Operated with High-Speed Trains. Report No. 1013-76, Railway Technical Research Institute, Tokyo, Japan, p.109-114.

[34]ShengX, XiaoX, ZhangS, 2016. The time domain moving Green function of a railway track and its application to wheel‍–‍rail interactions. Journal of Sound and Vibration, 377:133-154.

[35]SongSQ, ZhangWH, HanP, et al., 2018. Sliding window method for vehicles moving on a long track. Vehicle System Dynamics, 56(1):113-127.

[36]TakemiyaH, 2003. Simulation of track-ground vibrations due to a high-speed train: the case of X-2000 at Ledsgard. Journal of Sound and Vibration, 261(3):503-526.

[37]TorstenssonPT, SquicciariniG, KrügerM, et al., 2019. Wheel‍–rail impact loads and noise generated at railway crossings‍–influence of vehicle speed and crossing dip angle. Journal of Sound and Vibration, 456:119-136.

[38]WangS, XinT, WangPS, et al., 2023. Novel method for obtaining transfer characteristics of subway-induced ground vibrations. International Journal of Mechanical Sciences, 255:108462.

[39]XuL, ZhaiWM, 2019. A three-dimensional dynamic model for train-track interactions. Applied Mathematical Modelling, 76:443-465.

[40]XuLH, MaM, CaoRN, et al., 2022. Effect of longitudinally varying characteristics of soil on metro train-induced ground vibrations based on wave propagation analysis. Soil Dynamics and Earthquake Engineering, 152:107020.

[41]XuQY, SunSW, XuY, et al., 2022. Influence of temperature gradient of slab track on the dynamic responses of the train-CRTS III slab track on subgrade nonlinear coupled system. Scientific Reports, 12(1):14638.

[42]YangXW, ShuY, QianDW, et al., 2020. The nonlinear dynamical analysis of damaged concrete slab of high speed railway track using the revised Fourier pseudo-spectral method. Construction and Building Materials, 244:118336.

[43]ZhaiWM, WangKY, CaiCB, 2009. Fundamentals of vehicle-track coupled dynamics. Vehicle System Dynamics, 47(11):1349-1376.

[44]ZhaiWM, JinXS, WenZF, et al., 2020. Wear problems of high-speed wheel/rail systems: observations, causes, and countermeasures in China. Applied Mechanics Reviews, 72(6):060801.

[45]ZhaiZH, CaiCB, ZhuSY, 2023. Implementation of Timoshenko curved beam into train-track-bridge dynamics modelling. International Journal of Mechanical Sciences, 247:108158.

[46]ZhangKP, ZhangXH, ZhouSH, 2023. Analysis on dynamic behavior of 400 km/h high-speed train system under differential settlement of subgrade. Engineering Structures, 278:115521.

[47]ZhangLS, ZhaoGT, 2020. Dynamic transfer characteristics of vehicle load on double-block ballastless track of high-speed railway. Journal of Harbin Institute of Technology, 52(9):8-16 (in Chinese).

[48]ZhengWQ, ShengXW, ZhuZH, et al., 2020. Experimental study on vibration characteristics of unit-plate ballastless track systems laid on long-span bridges using full-scale test rigs. Sensors, 20(6):1744.

[49]ZhengWQ, ShengXW, ZhuZH, et al., 2023. Experimental study on vibration characteristics of ballastless tracks on long-span cable-stayed bridge in high speed railway. China Civil Engineering Journal, 56(5):79-88 (in Chinese).

[50]ZhuSY, WangJW, CaiCB, et al., 2017. Development of a vibration attenuation track at low frequencies for urban rail transit. Computer-Aided Civil and Infrastructure Engineering, 32(9):713-726.

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