Abstract
Dissipative properties of a structural system are difficult to be characterized in real structure. Nevertheless, damping features may be dominant in several operating conditions of railway bridges influencing fatigue life or passenger comfort during train passage. Observations treating real data acquired in operational condition on steel and concrete railway bridges belonging to the Italian network permits to highlight dissipative sources and features. Consequently, linearized modal damping ratios are evaluated through a recursive process on the acceleration signals acquired before, during and after train passages and/or in environmental conditions. Stochastic Subspace Identification has been used to identify state-space dynamical models able to reproduce the vibrations. Through these models, characterized by an increasing number of state-space variables, it is possible to extract modal damping ratios. A mechanical interpretation of damping characteristics is pursued through the evaluation of the differences with respect to a classical Rayleigh proportional damping matrix of the viscous matrix belonging to the identified state-space models determined through the system spectral features. A non-proportional damping index is presented as a basis to determine the influence of different sources of non-proportionality in the damping matrix (as the ballast layer under the track) and to justify the high value of damping observed in specific experimental campaigns.
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References
Imai H, Yun CB, Marujama O, Shinozuca M (1989) Fundamentals of system identification of structures. Probab Eng Mech 51(11):2813–2826
Capecchi D, Vestroni F (1993) Identification of finite elements models in structural dynamics. Eng Struct 15(1):21–30
Potenza F, Federici F, Lepidi M, Gattulli V, Graziosi F, Colarieti A (2015) Long-term structural monitoring of the damaged Basilica S. Maria di Collemaggio through a low-cost wireless sensor network. J Civil Struct Health Monit 5(5):655–676
Valvona F, Toti J, Gattulli V, Potenza F (2017) Effective seismic strengthening and monitoring of a masonry vault by using Glass Fiber Reinforced Cementitious matrix with embedded Fiber Bragg Grating sensors. Compos Part B 113:355–370
Gattulli V, Lepidi M, Potenza F, Di Sabatino U (2016) Dynamics of masonry walls connected by a vibrating cable in a historic structure. Meccanica 4(4):2813–2826
Ceci AM, Gattulli V, Potenza F (2013) Serviceability and damage scenario in irregular RC structures: post-earthquake observation and modelling predictions. J Perform Constr Facil 27(1):98–115
Foti D, Gattulli V, Potenza F (2014) Output-only modal identification of a damaged building through rapid dynamic testing for post-earthquake retrofitting interventions. Comput Aided Civil Infrastruct Eng 29(9):659–675
Ko JM, Ni YQ (2005) Technology developments in structural health monitoring of large-scale bridges. Eng Struct 27(12):1715–1725
Romeo F, Lofrano E, Paolone A (2014) Damage identification in a parabolic arch via orthogonal empirical mode decomposition. In: Proceedings of the ASME Design Engineering Technical Conference, 26th Conference on Mechanical Vibration and Noise, Buffalo, New York, USA 17–20, Aug, 2014
Brownjohn JMW, Magalhaes F, Caetano E, Cunha A (2010) Ambient vibration re-testing and operational modal analysis of the Humber Bridge. Eng Struct 32(8):2003–2018
Magalhaes F, Caetano E, Cunha A, Flamand O, Grillaud G (2012) Ambient and free vibration tests of the Millau Viaduct: evaluation of alternative processing strategies. Eng Struct 45:372–384
Cross EJ, Koo KY, Brownjohn JMW, Worden K (2013) Long-term monitoring and data analysis of the Tamar Bridge. Mech Syst Signal Process 35:16–34
Peeters B, de Roeck G (2001) Stochastic system identification for operational modal analysis: a review. J Dyn Syst Meas Control 123(4):659–667 (Transictions of the ASME)
Brinker R, Zhang L, Andersen P (2001) Modal identification of output-only systems using frequency domain decomposition. Smart Mater Struct 10(3):441–445
Chen GW, Omenzetter P, Beskhyroun S (2017) Operational modal analysis of an eleven-span concrete bridge subjected to weak ambient excitations. Eng Struct 151:839–860
Kim BH, Lee J, Lee DH (2010) Extracting modal parameters of high-speed railway bridge using TDD technique. Mech Syst Signal Process 24:707–720
Sabemehr A, Lim C, Bagchi A (2018) System identification and model updating of highway bridges using ambient vibration tests. J Civil Struct Health Monit 8:755–771
He XH, Hua XG, Chen ZQ, Huang FL (2011) EMD-based random decrement technique for modal parameter identification of existing railway bridge. Eng Struct 33:1348–1356
Jacobsen NJ, Andersen P, Brinker R (2006) Using enhanced frequency domain decomposition as a robust technique to harmonic excitation in operational modal analysis. In: Proceedings of International Conference on Noise and Vibration Engineering (ISMA 2006), 18–20 Sep 2006
Peeters B, van der Auweraer H, Guillame P, Leuridan J (2004) The PolyMAX frequency-domain method: a new standard for modal parameter estimation. Shock Vib 11:395–409
Peeters B, De Roeck G (1999) Reference-based stochastic subspace identification for output-only modal analysis. Mechan Signal Signal Process 13(6):855–878
Siringoringo DM, Fujino Y (2008) System identification of suspension bridge from ambient vibration response. Eng Struct 30(2):462–477
Moreu F, Kim RE, Spencer BFJ (2017) Railroad bridge monitoring using wireless smart sensors. Struct Control Health Monit 24(2):e1863
Li J, Zhu X, Law S-S, Samali B (2019) Indirect bridge modal parameter identification with one stationary and one moving sensors and stochastic subspace identification. J Sound Vib 446:1–21
Giraldo DF, Song W, Dyke SJ, Caicedo JM (2009) Modal identification through ambient vibration: comparative study. J Eng Mech 135(8):759–770
Diaferio M, Foti D, Gentile C, Giannoccaro NI (2015) Dynamic testing of a historical slender building using accelerometers and radar. In: Proceedings of the 6th International Operational Modal Analysis Conference, IOMAC 2015, 12–14 May Gijon, Spain
Diaferio M, Foti D, Giannoccaro NI (2015) Identification of the modal properties of a building of the Greek heritage. Key Eng Mater 628(2015):150–159
Cardoso R, Cury A, Barbosa F (2017) A robust methodology for modal parameters estimation applied to SHM. Mechan Syst Signal Process 95:24–41
Gonzales I, Ulker-Kaustell M, Karoumi R (2013) Seasonal effects on the stiffness properties of a ballasted railway bridge. Eng Struct 57:63–72
Bornet L, Andersson A, Zwolski J, Battini JM (2015) Influence of the ballasted track on the dynamic properties of a truss railway bridge. Struct Infrastruct Eng 11(6):796–803
Gonzales I, Karoumi R (2014) Analysis of the variations in the dynamic behaviour of a ballast bridge using Hilbert transform. Eng Struct 60:126–132
Chen GW, Beskhyroun S, Omenzetter P (2016) Experimental investigation into amplitude-dependent modal properties of an eleven-span motorway bridge. Eng Struct 107:80–100
Somaschini C, Matsuoka K, Collina A (2017) Experimental analysis of a composite bridge under high-speed train passages. Procedia Eng 199:3071–3076
Brunetti M, Ciambella J, Evangelista L, Lofrano E, Paolone A, Vittozzi A (2017) Experimental results in damping evaluation of a high-speed railway bridge. Procedia Eng 199:3015–3020
Castellanos-Toro S, Marmolejo M, Marulanda J, Cruz A, Thomson P (2018) Frequencies and damping ratios of bridges through Operational Modal Analysis using smartphones. Constr Build Mater 188:490–504
Reynders E, Schevenels M, De Roeck G (2014) MACEC 3.3 A Matlab toolbox for experimental and operational modal analysis. Faculty of Engineering, Department of Civil Engineering, Structural Mechanics Section, Kasteelpark Arenberg 40, B-3001 Leuven
Zarek JHB, Gibbs BM (1981) The derivation of eigenvalues and mode shapes for the bending motion of a damped beam with general end conditions. J Sound Vib 78(2):185–196
Svedholm C, Zangeneh A, Pacoste C, François S, Karoumi R (2016) Vibration of damped uniform beams with general end conditions under moving loads. Eng Struct 126:40–52
Acknowledgements
The research leading to these results has received funding from the Italian Government under Cipe resolution n.135 (Dec. 21, 2012), project INnovating City Planning through Information and Communication Technologies. The results of the steel bridge are part of a project that has received funding from the Research Fund for Coal and Steel under grant agreement No 800687.
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Gattulli, V., Lofrano, E., Paolone, A. et al. Measured properties of structural damping in railway bridges. J Civil Struct Health Monit 9, 639–653 (2019). https://doi.org/10.1007/s13349-019-00358-3
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DOI: https://doi.org/10.1007/s13349-019-00358-3