Novel evaluation methods for data-based determination of damping factors in the frequency and time domains with application on railway bridges

Andreas Stollwitzer, Lara Bettinelli, Samuel Loidl, Janez Schellander, Michael Vospernig, Josef Fink

Railway Engineering Science ›› 2025

Railway Engineering Science ›› 2025 DOI: 10.1007/s40534-024-00373-1
Article

Novel evaluation methods for data-based determination of damping factors in the frequency and time domains with application on railway bridges

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Abstract

A realistic and economical dynamic assessment of railway bridges requires input parameters that correspond to reality. In this context, the applied damping properties of the structure have a decisive influence on the results in the prediction of resonance effects and further in the assessment of the compatibility between rolling stock and railway bridges. The standard prescribes damping factors depending on the type of structure and the span to be used in dynamic calculations. However, these factors can be regarded as very conservative values which do not represent reality. Thus, in situ measurements on the structure are often necessary to classify a bridge categorised as critical in prior dynamic calculations as non-critical. Regarding in situ tests, a measurement-based determination of the damping factor is inevitably accompanied by a scattering of the generated results due to the measurement method used and as a result of the individual scope of action of the test-evaluating person and this person’s interpretation of the measurement data. This paper presents novel evaluation methods and analysis tools for determining the damping factor based on measurements in the frequency and time domains, intending to reduce the scatter of the results and limit the scope of action of the person evaluating the test. The main aim is to provide simple and easy-to-use evaluation algorithms for practical applications without additional data transformations and to define clear principles of action for the data-based evaluation of realistic and high damping factors. Based on in situ tests on 15 existing railway bridges, the data-based procedure for determining the damping factor is explained, and the methods are compared in the time and frequency domains. It is shown that a clearly defined evaluation algorithm can significantly reduce the scattering of results. Furthermore, it is demonstrated that forced vibration excitation and evaluation in the frequency domain provide the best results in reliable, reproducible, and high damping factors.

Keywords

Railway bridges / Damping / In situ measurements / Structural health monitoring / Condition assessment

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Andreas Stollwitzer, Lara Bettinelli, Samuel Loidl, Janez Schellander, Michael Vospernig, Josef Fink. Novel evaluation methods for data-based determination of damping factors in the frequency and time domains with application on railway bridges. Railway Engineering Science, 2025 https://doi.org/10.1007/s40534-024-00373-1

References

[1.]
European Committee for Standardization (2013) EN 1990/A1:2013–03–15 Eurocode – Basis of structural design – Amendment 1: Application for bridges (consolidated version). Austrian Standards International, Vienna.
[2.]
ZhaiW, HanZ, ChenZ, et al. . Train–track–bridge dynamic interaction: a state-of-the-art review. Veh Syst Dyn, 2019, 577984-1027.
CrossRef Google scholar
[3.]
ArvidssonT, KaroumiR. Train–bridge interaction–a review and discussion of key model parameters. Int J Rail Transp, 2014, 23147-186.
CrossRef Google scholar
[4.]
CanteroD, ArvidssonT, OBrienE, et al. . Train–track–bridge modelling and review of parameters. Struct Infrastruct Eng, 2016, 1291051-1064.
CrossRef Google scholar
[5.]
YangB, YauJD, WU YSVehicle-Bridge Interaction Dynamics with Applications to High-Speed Railways, 2004TaipeiWorld Scientific.
CrossRef Google scholar
[6.]
MolinerE, Martínez-RodrigoMD, GalvínP, et al. . On the vertical coupling effect of ballasted tracks in multi–span simply–supported railway bridges under operating conditions. Struct Infrastruct Eng, 2023, 19111633-1655.
CrossRef Google scholar
[7.]
StollwitzerA, FinkJ. Damping parameters of ballasted track on railway bridges – part II: energy dissipation in the ballasted track and related calculation model. Bautechnik, 2021, 988552-562.
CrossRef Google scholar
[8.]
RebeloC, Simões da SilvaL, RigueiroC, et al. . Dynamic behaviour of twin single-span ballasted railway viaducts—Field measurements and modal identification. Eng Struct, 2008, 3092460-2469.
CrossRef Google scholar
[9.]
Reiterer M, Lachinger S, Fink J, Bruschetini-Ambro SZ (2018) In-situ experimental modal testing of railway bridges. In: Proceedings 2(8), 413
[10.]
ReitererM, Bruschetini-AmbroSZ. Dynamik von eisenbahnbrücken: diskrepanz zwischen messung und berechnung. Bauingenieur, 2019, 9449-21.
CrossRef Google scholar
[11.]
European Committee for StandardizationEN 1991–2:2012 03 01 Eurocode 1: Actions on structures – Part 2: Traffic loads on bridges (consolidated version), 2012ViennaAustrian Standard International
[12.]
KimSI, LeeJ, KimS. Dynamic behavior comparison of steel-composite and concrete high speed railway bridges. Int J Steel Struct, 2011, 114445-455.
CrossRef Google scholar
[13.]
Kirchhofer J (2012) Contribution to a substantiated description of the dynamic behaviour of railway bridges with ballast bed. Dissertation, TU Wien
[14.]
ReitererM, LachingerS, FinkJ, et al. . Ermittlung der dynamischen Kennwerte von Eisenbahnbrücken unter Anwendung von unterschiedlichen Schwingungsanregungsmethoden. Bauingenieur, 2017, 92102-13.
CrossRef Google scholar
[15.]
López-AragónJA, PucholV, AstizMA. Influence of the modal damping ratio calculation method in the analysis of dynamic events obtained in structural health monitoring of bridges. J Civ Struct Health Monit, 2024, 1451191-1213.
CrossRef Google scholar
[16.]
PetersenC, WerkleHDynamik der Baukonstruktionen, 2018WiesbadenSpringer
[17.]
ChopraAKDynamics of structures: theory and application to earthquake engineering, 2020LondonPearson Education Limited
[18.]
Specialists’ Committee D214 (1999) Railway bridges for speeds > 200 km/h, RP1 – RP9. European Rail Research Institute, Utrecht
[19.]
MalveiroJ, RibeiroD, CalçadaR, et al. . Updating and validation of the dynamic model of a railway viaduct with precast deck. Struct Infrastruct Eng, 2014, 10111484-1509.
CrossRef Google scholar
[20.]
MalveiroJ, SousaC, RibeiroD, et al. . Impact of track irregularities and damping on the fatigue damage of a railway bridge deck slab. Struct Infrastruct Eng, 2018, 1491257-1268.
CrossRef Google scholar
[21.]
ErduranE, GonenS, PulatsuB, et al. . Damping in masonry arch railway bridges under service loads: an experimental and numerical investigation. Eng Struct, 2023, 294. 116801
CrossRef Google scholar
[22.]
RibeiroD, BragancaC, SilvaA, et al. , et al. ChastreC, NevesJ, RibeiroD, et al. , et al. . Dynamic testing on railway bridges. Advances on Testing and Experimentation in Civil Engineering, 2023ChamSpringer241-268.
CrossRef Google scholar
[23.]
SilvaA, RibeiroD, MontenegroPA, et al. . New contributions for damping assessment on filler-beam railway bridges framed on In2Track EU projects. Appl Sci, 2023, 1342636.
CrossRef Google scholar
[24.]
RibeiroD, CalçadaR, BrehmM, et al. . Train-track-bridge dynamic interaction on a bowstring-arch railway bridge: advanced modeling and experimental validation. Sensors, 2022, 231171.
CrossRef Google scholar
[25.]
BrunettiM, CiambellaJ, EvangelistaL, et al. . Experimental results in damping evaluation of a high-speed railway bridge. Procedia Eng, 2017, 199: 3015-3020.
CrossRef Google scholar
[26.]
GattulliV, LofranoE, PaoloneA, et al. . Measured properties of structural damping in railway bridges. J Civ Struct Health Monit, 2019, 95639-653.
CrossRef Google scholar
[27.]
Castellanos-ToroS, MarmolejoM, MarulandaJ, et al. . Frequencies and damping ratios of bridges through Operational Modal Analysis using smartphones. Constr Build Mater, 2018, 188: 490-504.
CrossRef Google scholar
[28.]
KimS, KimHK. Damping identification of bridges under nonstationary ambient vibration. Engineering, 2017, 36839-844.
CrossRef Google scholar
[29.]
GalvínP, RomeroA, MolinerE, et al. . On the dynamic characterisation of railway bridges through experimental testing. Eng Struct, 2021, 226. 111261
CrossRef Google scholar
[30.]
GalvínP, RomeroA, MolinerE, et al. . Two FE models to analyse the dynamic response of short span simply-supported oblique high-speed railway bridges: Comparison and experimental validation. Eng Struct, 2018, 167: 48-64.
CrossRef Google scholar
[31.]
LiJ, ZhuX, GuoJ. Enhanced drive-by bridge modal identification via dual Kalman filter and singular spectrum analysis. Struct Control Health Monit, 2022, 295. e2927
CrossRef Google scholar
[32.]
PetersenØW, ØisethO, LourensEM. Estimation of the dynamic response of a slender suspension bridge using measured acceleration data. Procedia Eng, 2017, 199: 3047-3052.
CrossRef Google scholar
[33.]
ParkDU, KimNS, KimSI. Damping estimation of railway bridges using extended Kalman filter. Trans Korean Soc Noise Vib Eng, 2009, 19: 294-300.
CrossRef Google scholar
[34.]
GonzalezI, KaroumiR. Analysis of the annual variations in the dynamic behavior of a ballasted railway bridge using Hilbert transform. Eng Struct, 2014, 60: 126-132.
CrossRef Google scholar
[35.]
Ülker-KaustellM, KaroumiR. Application of the continuous wavelet transform on the free vibrations of a steel–concrete composite railway bridge. Eng Struct, 2011, 333911-919.
CrossRef Google scholar
[36.]
Ülker-KaustellM, KaroumiR. Influence of non-linear stiffness and damping on the train-bridge resonance of a simply supported railway bridge. Eng Struct, 2012, 41: 350-355.
CrossRef Google scholar
[37.]
ElhattabA, UddinN, OBrienE. Drive-by bridge frequency identification under operational roadway speeds employing frequency independent underdamped pinning stochastic resonance (FI-UPSR). Sensors, 2018, 18124207.
CrossRef Google scholar
[38.]
YangYB, ZhangB, ChenY, et al. . Bridge damping identification by vehicle scanning method. Eng Struct, 2019, 183: 637-645.
CrossRef Google scholar
[39.]
KongX, CaiCS, KongB. Numerically extracting bridge modal properties from dynamic responses of moving vehicles. J Eng Mech, 2016.
CrossRef Google scholar
[40.]
TanC, ZhaoH, OBrienEJ, et al. . Extracting mode shapes from drive-by measurements to detect global and local damage in bridges. Struct Infrastruct Eng, 2021, 17111582-1596.
CrossRef Google scholar
[41.]
YangYB, LiZ, WangZL, et al. . A novel frequency-free movable test vehicle for retrieving modal parameters of bridges: Theory and experiment. Mech Syst Sig Process, 2022, 170. 108854
CrossRef Google scholar
[42.]
ZhanJ, YouJ, KongX, et al. . An indirect bridge frequency identification method using dynamic responses of high-speed railway vehicles. Eng Struct, 2021, 243. 112694
CrossRef Google scholar
[43.]
ReitererM, BettinelliL, SchellanderJ, et al. . Application of vehicle-based indirect structural health monitoring method to railway bridges—simulation and in situ test. Appl Sci, 2023, 131910928.
CrossRef Google scholar
[44.]
SouzaEF, BragançaC, MeixedoA, et al. . Drive-by methodologies applied to railway infrastructure subsystems: a literature review: Part I: bridges and viaducts. Appl Sci, 2023, 13126940.
CrossRef Google scholar
[45.]
de SouzaEF, BragançaC, RibeiroD, et al. . Drive-by damage detection methodology for high-speed railway bridges using sparse autoencoders. Railw Eng Sci, 2024.
CrossRef Google scholar
[46.]
ZhangT, XiongZ, ZhuJ, et al. . Extracting bridge frequencies from the dynamic responses of moving and non-moving vehicles. J Sound Vib, 2023, 564. 117865
CrossRef Google scholar
[47.]
RuppMM, LorenzenSR, FritzscheMA, et al. . High-speed drive-by monitoring: field testing with an intercity express train (ICE). Papers, 2023, 65854-862.
CrossRef Google scholar
[48.]
European Committee for StandardizationEN 1990:2013–03-15 Eurocode – Basis of structural design (consolidated version), 2013ViennaAustrian Standards International
[49.]
StollwitzerA, FinkJ, MohamedE. Verfahren zur Reduktion der Ergebnisstreuung zur Ermittlung realistischer Lehr’scher Dämpfungsmaße von Eisenbahnbrücken-Teil 1: Methoden im Frequenzbereich (Methods for reducing the output scatter of results for determining realistic damping factors of railway bridges–Part 1:methods in the frequency range). Bauingenieur, 2022, 975153-164.
CrossRef Google scholar
[50.]
StollwitzerA, FinkJ. Verfahren zur Reduktion der Ergebnisstreuung zur Ermittlung realistischer Lehr’scher Dämpfungsmaße von Eisenbahnbrücken-Teil 2: Methoden im Zeitbereich (Methods for reducing the output scatter of results for determining realistic damping factors of railway bridges–Part II: methods in the time range). Bauingenieur, 2022, 9710341-352.
CrossRef Google scholar
[51.]
StollwitzerA, BettinelliL, FinkJ. Methods for reducing the output scatter of results for determining realistic damping factors of railway bridges. J Phys: Conf Ser, 2024, 264710102005
[52.]
StollwitzerA, FinkJ, MalikT. Experimental analysis of damping mechanisms in ballasted track on single-track railway bridges. Eng Struct, 2020, 220. 110982
CrossRef Google scholar
[53.]
StollwitzerA, FinkJ. Determination of model-dependent stiffness and damping values of ballasted track for dynamic analyses of railway bridges. Bauingenieur, 2020, 959345-356.
CrossRef Google scholar
[54.]
StollwitzerA, BettinelliL, FinkJ. Vertical track-bridge interaction in railway bridges with ballast superstructure: experimental analysis of dynamic stiffness and damping behavior. Int J Struct Stab Dyn, 2024.
CrossRef Google scholar
[55.]
ÖBB Infrastruktur AG (2022) Regelwerk 08.01.05 Dynamische Messung von Eisenbahnbrücken. Austrian Federal Railways, Vienna.
[56.]
GonzalesI, Ülker-KaustellM, KaroumiR. Seasonal effects on the stiffness properties of a ballasted railway bridge. Eng Struct, 2013, 57: 63-72.
CrossRef Google scholar
[57.]
StollwitzerA, BettinelliL, FinkJ. The longitudinal track-bridge interaction of ballasted track in railway bridges: Experimental determination of dynamic stiffness and damping characteristics. Eng Struct, 2023, 274. 115115
CrossRef Google scholar
[58.]
SunW, LiH, YingL. Damping identification for the nonlinear stiffness structure. J Vibroeng, 2014, 16: 770-780
[59.]
Al-HababiT, CaoM, SalehB, et al. . A critical review of nonlinear damping identification in structural dynamics: methods, applications, and challenges. Sensors, 2020, 20247303.
CrossRef Google scholar

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