Due to its long-span structure and large flexibility, an electrified railway catenary is very sensitive to environmental wind load, especially the time-varying stochastic wind, which may lead to a strong forced vibration of contact line and deteriorate the current collection quality of the pantograph–catenary system. In this paper, in order to study the wind-induced vibration behavior of railway catenary, a nonlinear finite element procedure is implemented to construct the model of catenary, which can properly describe the large nonlinear deformation and the nonsmooth nonlinearity of dropper. The spatial stochastic wind field is developed considering the fluctuating winds in along-wind, vertical-wind, and cross-wind directions. Using the empirical spectra suggested by Kaimal, Panofsky, and Tieleman, the fluctuating wind velocities in three directions are generated considering the temporal and spatial correlations. Based on fluid-induced vibration theory, the model of fluctuating forces acting on catenary are developed considering the spatial characteristics of catenary. The time- and frequency-domain analyses are conducted to study the wind-induced vibration behavior with different angles of wind deflection, different angles of attack, as well as different geometries of catenary. The effect of spatial wind load on contact force of pantograph–catenary system is also investigated.
Issue Section:
Research Papers
References
1.
Jung
, S. P.
, Kim
, Y. G.
, Paik
, J. S.
, and Park
, T. W.
, 2012
, “Estimation of Dynamic Contact Force Between a Pantograph and Catenary Using the Finite Element Method
,” ASME J. Comput. Nonlinear Dyn.
, 7
(4
), p. 041006
.2.
Lopez-Garcia
, O.
, Carnicero
, A.
, and Maroño
, J. L.
, 2007
, “Influence of Stiffness and Contact Modelling on Catenary–Pantograph System Dynamics
,” J. Sound Vib.
, 299
(4
), pp. 806
–821
.3.
Pombo
, J.
, and Ambrósio
, J.
, 2012
, “Influence of Pantograph Suspension Characteristics on the Contact Quality With the Catenary for High Speed Trains
,” Comput. Struct.
, 110–111
, pp. 32
–42
.4.
Rønnquist
, A.
, and Nåvik
, P.
, 2015
, “Dynamic Assessment of Existing Soft Catenary Systems Using Modal Analysis to Explore Higher Train Velocities: A Case Study of a Norwegian Contact Line System
,” Veh. Syst. Dyn.
, 53
(6
), pp. 756
–774
.5.
Nåvik
, P.
, Rønnquist
, A.
, and Stichel
, S.
, 2016
, “The Use of Dynamic Response to Evaluate and Improve the Optimization of Existing Soft Railway Catenary Systems for Higher Speeds
,” Proc. Inst. Mech. Eng., Part F
, 230
(4
), pp. 1388
–1396
.6.
Massat
, J. P.
, Laurent
, C.
, Bianchi
, J. P.
, and Balmès
, E.
, 2014
, “Pantograph Catenary Dynamic Optimisation Based on Advanced Multibody and Finite Element Co-Simulation Tools
,” Veh. Syst. Dyn.
, 52
(Suppl. 1
), pp. 338
–354
.7.
Kim
, J. W.
, Chae
, H. C.
, Park
, B. S.
, Lee
, S. Y.
, Han
, C. S.
, and Jang
, J. H.
, 2007
, “State Sensitivity Analysis of the Pantograph System for a High-Speed Rail Vehicle Considering Span Length and Static Uplift Force
,” J. Sound Vib.
, 303
(3
), pp. 405
–427
.8.
Schirrer
, A.
, Aschauer
, G.
, Talic
, E.
, Kozek
, M.
, and Jakubek
, S.
, 2017
, “Catenary Emulation for Hardware-in-the-Loop Pantograph Testing With a Model Predictive Energy-Conserving Control Algorithm
,” Mechatronics
, 41
, pp. 17
–28
.9.
Bruni
, S.
, Bucca
, G.
, Collina
, A.
, and Facchinetti
, A.
, 2012
, “Numerical and Hardware-in-the-Loop Tools for the Design of Very High Speed Pantograph-Catenary Systems
,” ASME J. Comput. Nonlinear Dyn.
, 7
(4
), p. 041013
.10.
Facchinetti
, A.
, Gasparetto
, L.
, and Bruni
, S.
, 2013
, “Real-Time Catenary Models for the Hardware-in-the-Loop Simulation of the Pantograph–Catenary Interaction
,” Veh. Syst. Dyn.
, 51
(4
), pp. 499
–516
.11.
Lee
, J. H.
, Park
, T. W.
, Oh
, H. K.
, and Kim
, Y. G.
, 2015
, “Analysis of Dynamic Interaction Between Catenary and Pantograph With Experimental Verification and Performance Evaluation in New High-Speed Line
,” Veh. Syst. Dyn.
, 53
(8
), pp. 1117
–1134
.12.
Nåvik
, P.
, Rønnquist
, A.
, and Stichel
, S.
, 2016
, “Identification of System Damping in Railway Catenary Wire Systems From Full-Scale Measurements
,” Eng. Struct.
, 113
, pp. 71
–78
.13.
Carnicero
, A.
, Jimenez-Octavio
, J. R.
, Sanchez-Rebollo
, C.
, Ramos
, A.
, and Such
, M.
, 2012
, “Influence of Track Irregularities in the Catenary-Pantograph Dynamic Interaction
,” ASME J. Comput. Nonlinear Dyn.
, 7
(4
), p. 041015
.14.
Pombo
, J.
, and Ambrósio
, J.
, 2013
, “Environmental and Track Perturbations on Multiple Pantograph Interaction With Catenaries in High-Speed Trains
,” Comput. Struct.
, 124
, pp. 88
–101
.15.
Qian
, W. J.
, Chen
, G. X.
, Zhang
, W. H.
, Ouyang
, H.
, and Zhou
, Z. R.
, 2013
, “Friction-Induced, Self-Excited Vibration of a Pantograph-Catenary System
,” ASME J. Vib. Acoust.
, 135
(5
), p. 051021
.16.
Kulkarni
, S.
, Pappalardo
, C. M.
, and Shabana
, A. A.
, 2016
, “Pantograph/Catenary Contact Formulations
,” ASME J. Vib. Acoust.
, 139
(1
), p. 011010
.17.
Vo Van
, O.
, Massat
, J. P.
, Laurent
, C.
, and Balmes
, E.
, 2014
, “Introduction of Variability Into Pantograph–Catenary Dynamic Simulations
,” Veh. Syst. Dyn.
, 52
(10
), pp. 1254
–1269
.18.
Wang
, H.
, Liu
, Z.
, Song
, Y.
, Lu
, X.
, Han
, Z.
, Zhang
, J.
, and Wang
, Y.
, 2016
, “Detection of Contact Wire Irregularities Using a Quadratic Time–Frequency Representation of the Pantograph–Catenary Contact Force
,” IEEE Trans. Instrum. Meas.
, 65
(6
), pp. 1385
–1397
.19.
Pombo
, J.
, and Ambrósio
, J.
, 2012
, “Multiple Pantograph Interaction With Catenaries in High-Speed Trains
,” ASME J. Comput. Nonlinear Dyn.
, 7
(4
), p. 041008
.20.
Liu
, Z.
, Jönsson
, P. A.
, Stichel
, S.
, and Rønnquist
, A.
, 2016
, “On the Implementation of an Auxiliary Pantograph for Speed Increase on Existing Lines
,” Veh. Syst. Dyn.
, 54
(8
), pp. 1077
–1097
.21.
Song
, Y.
, Liu
, Z.
, Wang
, H.
, Lu
, X.
, and Zhang
, J.
, 2015
, “Nonlinear Modelling of High-Speed Catenary Based on Analytical Expressions of Cable and Truss Elements
,” Veh. Syst. Dyn.
, 53
(10
), pp. 1455
–1479
.22.
Tur
, M.
, García
, E.
, Baeza
, L.
, and Fuenmayor
, F. J.
, 2014
, “A 3D Absolute Nodal Coordinate Finite Element Model to Compute the Initial Configuration of a Railway Catenary
,” Eng. Struct.
, 71
, pp. 234
–243
.23.
Gregori
, S.
, Tur
, M.
, Nadal
, E.
, Fuenmayor
, F. J.
, and Chinesta
, F.
, 2016
, “Parametric Model for the Simulation of the Railway Catenary System Static Equilibrium Problem
,” Finite Elem. Anal. Des.
, 115
, pp. 21
–32
.24.
Jimenez-Octavio
, J. R.
, Carnicero
, A.
, Sanchez-Rebollo
, C.
, and Such
, M.
, 2015
, “A Moving Mesh Method to Deal With Cable Structures Subjected to Moving Loads and Its Application to the Catenary–Pantograph Dynamic Interaction
,” J. Sound Vib.
, 349
, pp. 216
–229
.25.
Oumri
, M.
, and Rachid
, A.
, 2016
, “A Mathematical Model for Pantograph-Catenary Interaction
,” Math. Comput. Modell. Dyn. Syst.
, 22
(5
), pp. 463
–474
.26.
Song
, Y.
, Liu
, Z.
, Ouyang
, H.
, Wang
, H.
, and Lu
, X.
, 2017
, “Sliding Mode Control With PD Sliding Surface for High-Speed Railway Pantograph-Catenary Contact Force Under Strong Stochastic Wind Field
,” Shock Vib.
, 2017
, p. 4895321
.https://doi.org/10.1155/2017/489532127.
Sanchez-Rebollo
, C.
, Jimenez-Octavio
, J. R.
, and Carnicero
, A.
, 2013
, “Active Control Strategy on a Catenary–Pantograph Validated Model
,” Veh. Syst. Dyn.
, 51
(4
), pp. 554
–569
.28.
Pappalardo
, C. M.
, Patel
, M. D.
, Tinsley
, B.
, and Shabana
, A. A.
, 2016
, “Contact Force Control in Multibody Pantograph/Catenary Systems
,” Proc. Inst. Mech. Eng., Part K
, 230
(4
), pp. 307
–328
.https://doi.org/10.1177/146441931560475629.
Song
, Y.
, Ouyang
, H.
, Liu
, Z.
, Mei
, G.
, Wang
, H.
, and Lu
, X.
, 2017
, “Active Control of Contact Force for High-Speed Railway Pantograph-Catenary Based on Multi-Body Pantograph Model
,” Mech. Mach. Theory
, 115
, pp. 35
–39
.30.
Pombo
, J.
, Ambrósio
, J.
, Pereira
, M.
, Rauter
, F.
, Collina
, A.
, and Facchinetti
, A.
, 2009
, “Influence of the Aerodynamic Forces on the Pantograph–Catenary System for High-Speed Trains
,” Veh. Syst. Dyn.
, 47
(11
), pp. 1327
–1347
.31.
Song
, Y.
, Liu
, Z.
, Wang
, H.
, Lu
, X.
, and Zhang
, J.
, 2016
, “Nonlinear Analysis of Wind-Induced Vibration of High-Speed Railway Catenary and Its Influence on Pantograph–Catenary Interaction
,” Veh. Syst. Dyn.
, 54
(6
), pp. 723
–747
.32.
Di Paola
, M.
, 1998
, “Digital Simulation of Wind Field Velocity
,” J. Wind Eng. Ind. Aerodyn.
, 74–76
, pp. 91
–109
.33.
Yang
, W.
, Chang
, T.
, and Chang
, C.
, 1997
, “An Efficient Wind Field Simulation Technique for Bridges
,” J. Wind Eng. Ind. Aerodyn.
, 67–68
, pp. 697
–708
.https://doi.org/10.1016/S0167-6105(97)00111-634.
Kaimal
, J. C.
, 1978
, “Horizontal Velocity Spectra in an Unstable Surface Layer
,” J. Atmos. Sci.
, 35
(1
), pp. 18
–24
.35.
Panofsky
, H. A.
, and McCormick
, R. A.
, 1960
, “The Spectrum of Vertical Velocity Near the Surface
,” Q. J. R. Meteorol. Soc.
, 86
(370
), pp. 495
–503
.36.
Tieleman
, H. W.
, 1995
, “Universality of Velocity Spectra
,” J. Wind Eng. Ind. Aerodyn.
, 56
(1
), pp. 55
–69
.37.
Bruni
, S.
, Ambrósio
, J.
, Carnicero
, A.
, Cho
, Y.
, Finner
, L.
, Ikeda
, M.
, Kwon
, S.
, Massat
, J.
, Stichel
, S.
, Tur
, M.
, and Zhang
, W.
, 2015
, “The Results of the Pantograph–Catenary Interaction Benchmark
,” Veh. Syst. Dyn.
, 53
(3
), pp. 412
–435
.38.
Reichmann
, Th.
, 2006
, “Dynamic Performance of Pantograph/Overhead Line Interaction for 4 Span Overlaps—TPS/OCS Portion
,” SIEMENS
, pp. 4
–21
.39.
Chen
, P.
, Pedersen
, T.
, Bak-Jensen
, B.
, and Chen
, Z.
, 2010
, “ARIMA-Based Time Series Model of Stochastic Wind Power Generation
,” IEEE Trans. Power Syst.
, 25
(2
), pp. 667
–676
.40.
Iannuzzi
, A.
, and Spinelli
, P.
, 1987
, “Artificial Wind Generation and Structural Response
,” J. Struct. Eng.
, 113
(12
), pp. 2382
–2398
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