J. Massat, Modélisation du comportement dynamique du couple pantographe-caténaire. Application à la détection de défauts dans la caténaire, p.204, 2007.

. Sncf, Collection of standards for overhead contact lines AC/25kV/50Hz, In: Internal Report -IN, p.1797, 2006.

S. Bruni, The results of the pantograph???catenary interaction benchmark, Vehicle System Dynamics 53, pp.1-24, 2014.
DOI : 10.1016/j.engstruct.2014.04.015

X. Shi and A. Polycarpou, Measurement and Modeling of Normal Contact Stiffness and Contact Damping at the Meso Scale, Journal of Vibration and Acoustics, vol.127, issue.1, 2005.
DOI : 10.1115/1.1857920

J. Bianchi, Using modal damping for full model transient analysis . Application to pantograph / catenary vibration, pp.1167-1180, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00589953

C. Soize, Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.33-36, pp.2150-2164, 2010.
DOI : 10.1016/j.cma.2010.03.013

URL : https://hal.archives-ouvertes.fr/hal-00684324

E. T. Jaynes, Information Theory and Statistical Mechanics. II, Physical Review, vol.108, issue.2, pp.171-190, 1957.
DOI : 10.1103/PhysRev.108.171

A. Hald, probability and least squares, Statistical Science, vol.14, issue.2, pp.214-222, 1999.
DOI : 10.1214/ss/1009212248

I. M. Sobol, Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates, Mathematics and Computers in Simulation, vol.55, issue.1-3, pp.1-3, 2001.
DOI : 10.1016/S0378-4754(00)00270-6

T. Homma and A. Satelli, Importance measures in global sensitivity analysis of nonlinear models, Reliability Engineering & System Safety, vol.52, issue.1, pp.1-17, 1996.
DOI : 10.1016/0951-8320(96)00002-6

F. Resta, A. Collina, and F. Fossati, Actively controlled pantograph: an application, 2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Proceedings (Cat. No.01TH8556), pp.243-248, 2001.
DOI : 10.1109/AIM.2001.936461

A. Collina, An Application of Active Control to the Collector of an High-Speed Pantograph: Simulation and Laboratory Tests, Proceedings of the 44th IEEE Conference on Decision and Control, pp.2005-4602, 2005.
DOI : 10.1109/CDC.2005.1582888

S. Shin, K. Eum, and J. Um, Contact force control of Pantograph-Catenary System using Block Pulse Function, 2006.

B. Allotta, L. Pugi, and F. Bartolini, Design and Experimental Results of an Active Suspension System for a High-Speed Pantograph, IEEE/ASME Transactions on Mechatronics, vol.13, issue.5, pp.548-557, 2008.
DOI : 10.1109/TMECH.2008.2002145

L. Pugi, Design and development of an active suspension system for T-2006 Pantograph, pp.548-557, 2008.

A. Pisano and E. Usai, Contact force estimation and regulation in active pantographs: An algebraic observability approach, Asian Journal of Control, vol.49, issue.10, pp.761-772, 2011.
DOI : 10.1002/asjc.237

E. Mingozzi, Simulation and Design of a High Speed railway Pantograph for Trenitalia S, 2006.

S. Bruni, Pantograph-catenary dynamic interaction in the medium-high frequency range, Vehicle System Dynamics 41.Supplement, pp.697-706, 2004.

T. Hayasaka, M. Shimizu, and K. Nezu, Development of Contact-Loss Measuring System Using Ultraviolet Ray Detection, Quarterly Report of RTRI, vol.50, issue.3, pp.131-136, 2009.
DOI : 10.2219/rtriqr.50.131

L. Maurin, High speed real-time contact measurements between a smart train pantograph with embedded Fibre Bragg Grating sensors and its overhead contact line, Structural Health Monitoring 2007: Quantification, Validation, and Implementation, pp.1808-1815, 2007.

M. Ikeda, S. Nagasaka, and T. Usuda, Precise measurement and estimation method for overhead contact line unevenness, In: Electrical Engineering in Japan, vol.1602, pp.77-85, 2007.

S. Kubo and K. Kato, Effect of arc discharge on the wear rate and wear mode transition of a copper-impregnated metallized carbon contact strip sliding against a copper disk, Tribology International, vol.32, issue.7, pp.367-378, 1999.
DOI : 10.1016/S0301-679X(99)00062-6

G. Bucca and A. Collina, A procedure for the wear prediction of collector strip and contact wire in pantograph???catenary system, Wear, vol.266, issue.1-2, pp.46-59, 2009.
DOI : 10.1016/j.wear.2008.05.006

A. Collina, S. Melzi, and A. Facchinetti, On the prediction of wear of contact wire in OHE lines: a proposed model, Vehicle System Dynamics 37, pp.579-592, 2002.
DOI : 10.1080/00423114.2002.11666264

T. Usuda, Estimation of Wear and Strain of Contact Wire Using Contact Force of Pantograph, Quarterly Report of RTRI, vol.48, issue.3, pp.170-175, 2007.
DOI : 10.2219/rtriqr.48.170

T. Koyama, Formation Mechanism of Undulating Wear on Overhead Conductor Rails due to Dynamic Characteristics of Pantographs, Quarterly Report of RTRI, vol.54, issue.1, pp.18-23, 2013.
DOI : 10.2219/rtriqr.54.18

K. , D. Van, and M. H. Maitournam, On some recent trends in modelling of contact fatigue and wear in rail, Wear, vol.253, issue.02, pp.219-227, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00111361

C. Yamashita and A. Sugahara, Influence of Mean Stress on Contact Wire Fatigue, Quarterly Report of RTRI, vol.47, issue.1, pp.46-51, 2006.
DOI : 10.2219/rtriqr.47.46

J. Massat, Fatigue analysis of catenary contact wires for high speed trains, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00987483

A. Sugahara, Improvement of Anti-fatigue Property of Contact Wire by Modifying Crosssection Shape, Quarterly Report of RTRI, vol.541, pp.30-38, 2013.

M. Nguyen-tajan, Fatigue crack initiation risk analysis and crack propagation modelling in the catenary contact wire of high speed lines, 2013.

J. Massat, E. Balmes, and J. Bianchi, Use of FEM models to study fatigue of overhead contact wire, pp.1-20, 2016.

A. Kumaniecka, Dynamics of the catenary modelled by a periodical structure, Journal of theoretical and applied mechanics, pp.869-878, 2008.

M. Aboshi and K. Manabe, Analyses of Contact Force Fluctuation between Catenary and Pantograph., Quarterly Report of RTRI, vol.41, issue.4, pp.182-187, 2000.
DOI : 10.2219/rtriqr.41.182

J. W. Kim, State sensitivity analysis of the pantograph system for a high-speed rail vehicle considering span length and static uplift force, Journal of Sound and Vibration, vol.303, issue.3-5, pp.3-5, 2007.
DOI : 10.1016/j.jsv.2006.06.073

A. Bobillot, J. P. Massat, and J. P. , Design of Pantograph-Catenary Systems by Simulation, pp.1-13, 2011.

T. Wu and M. Brennan, DYNAMIC STIFFNESS OF A RAILWAY OVERHEAD WIRE SYSTEM AND ITS EFFECT ON PANTOGRAPH???CATENARY SYSTEM DYNAMICS, Journal of Sound and Vibration, vol.219, issue.3, pp.483-502, 1999.
DOI : 10.1006/jsvi.1998.1869

A. V. Metrikine and A. L. Bosch, Dynamic response of a two-level catenary to a moving load, Journal of Sound and Vibration, vol.292, issue.3-5, pp.676-693, 2006.
DOI : 10.1016/j.jsv.2005.08.026

J. Massat, OSCAR statement of methods, Vehicle System Dynamics, vol.53, issue.3, pp.370-379, 2015.
DOI : 10.1076/vesd.38.6.393.8347

URL : https://hal.archives-ouvertes.fr/hal-01148753

Y. Zhang, An Analysis Method for the Correlation between Catenary Irregularities and Pantograph-catenary Contact Force, Journal of Central South University, vol.218, pp.3353-3360, 2014.

Y. H. Cho, Influence of contact wire pre-sag on the dynamics of pantographrailway catenary, International Journal of Mechanical Sciences, vol.5211, 2010.

C. Gomez, A model to obtain optimal designs of railway overhead knuckle junctions using simulation, Simulation Modelling Practice and Theory, vol.26, pp.16-31, 2012.
DOI : 10.1016/j.simpat.2012.03.010

M. Aboshi and M. Tsunemoto, Installation Guidelines for Shinkansen High Speed Overhead Contact Lines, Quarterly Report of RTRI, vol.52, issue.4, pp.230-236, 2011.
DOI : 10.2219/rtriqr.52.230

M. Nessi, Modellazione matmatica e identifaicazione dei parametri per la simulazione dell'interazione dinamica tra pantografo e catenaria, Politecnico Di Milano, p.103, 2010.

. Vibratec, Analyse numérique et expérimentale d'un pantographe, p.123, 2007.

F. G. Rauter, Multi body Modeling of Pantographs for Pantograph-Catenary Interaction, Third European Conference on Computational Mechanics Solids, Structures and Coupled Problems in Engineering, pp.205-226, 2006.

A. Matvejevs and A. Matvejevs, Pantograph-Catenary System Modeling Using MATLAB-Simulink Algorithms, Scientific Journal of Riga Technical University. Computer Sciences, vol.42, issue.1, pp.38-44, 2010.
DOI : 10.2478/v10143-010-0039-1

J. Ambrósio, A computational procedure for the dynamic analysis of the catenary-pantograph interaction in high-speed train, Journal of theoretical and applied mechanics, vol.503, pp.681-699, 2012.

P. Antunes, Development of a computational tool for the dynamic analysis of the pantographcatenary interaction for high-speed trains, Civil-Comp Proceedings 99 (2012), pp.1-25

J. Massat, Pantograph catenary dynamic optimisation based on advanced multibody and finite element co-simulation tools, Vehicle System Dynamics, pp.338-354, 2014.
DOI : 10.1007/s11044-010-9234-7

URL : https://hal.archives-ouvertes.fr/hal-01148752

J. Pombo and J. Ambrósio, Influence of pantograph suspension characteristics on the contact quality with the catenary for high speed trains, Computers and Structures 110-111 (2012), pp.32-42
DOI : 10.1016/j.compstruc.2012.06.005

T. J. Park, C. S. Han, and J. H. Jang, Dynamic sensitivity analysis for the pantograph of a high-speed rail vehicle, Journal of Sound and Vibration, vol.266, issue.2, pp.235-260, 2003.
DOI : 10.1016/S0022-460X(02)01280-4

A. Facchinetti and M. Mauri, Hardware in the loop test-rig for pantograph active control evaluation, 2008 IEEE International Symposium on Industrial Electronics, pp.2171-2176, 2008.
DOI : 10.1109/ISIE.2008.4677159

A. Facchinetti and S. Bruni, Hardware-in-the-loop hybrid simulation of pantographcatenary interaction, In: Journal of Sound and Vibration, vol.33112, pp.2783-2797, 2012.

F. Labergri, Modélisation du comportement dynamique du système pantographe-caténaire, Ecole Centrale L, p.183, 2000.

M. Geradin and D. J. Rixen, Mechanical Vibrations: Theory and Application to Structural Dynamics , 2nd Edition, 1996.

P. M. Morse, Vibration and Sound, 1948.

H. Wu, Structural Modeling of Double-Braided Synthetic Fiber Ropes, Textile Research Journal, vol.35, issue.2, pp.619-631, 1995.
DOI : 10.1177/004051759506501101

T. Vu, D. Durville, and P. Davies, Finite element simulation of the mechanical behavior of synthetic braided ropes and validation on a tensile test, International Journal of Solids and Structures, vol.58, pp.106-116, 2015.
DOI : 10.1016/j.ijsolstr.2014.12.022

URL : https://hal.archives-ouvertes.fr/hal-01338394

V. Popov, Rigorous Treatment of Contact Problems -Hertzian Contact In: Contact Mechanics and Friction -Physical Principles and Applications, pp.55-70, 2010.

T. Bausseron, Etude de l'échauffement du fil de contact de la caténaire lors du captage à l'arrêt -développement d'un outil de simulation, p.186, 2014.

D. Chamoret, New smoothing procedures in contact mechanics, Journal of Computational and Applied Mathematics, vol.168, issue.1-2, pp.107-116, 2004.
DOI : 10.1016/j.cam.2003.06.007

URL : http://doi.org/10.1016/j.cam.2003.06.007

E. Balmes, Frequency domain identification of structural dynamics using the pole/residue parametrization, p.IMAC, 1996.

E. Balmes, NEW RESULTS ON THE IDENTIFICATION OF NORMAL MODES FROM EXPERIMENTAL COMPLEX MODES, Mechanical Systems and Signal Processing, vol.11, issue.2, pp.229-243, 1997.
DOI : 10.1006/mssp.1996.0058

L. Gaul, Description of Damping and Applications, pp.409-440, 1999.
DOI : 10.1007/978-94-011-4503-9_20

T. K. Caughey, Classical Normal Modes in Damped Linear Dynamic Systems, Journal of Applied Mechanics, vol.276, pp.583-588, 1960.

L. Rogers, C. Johnson, and D. Keinholz, The modal strain energy finite element method and its application to damped laminated beams, Shock and Vibration Bulletin, vol.51, 1981.

L. Cremer, M. Heckl, and B. A. Petersson, Structure-borne sound: Structural vibrations and sound radiation at audio frequencies, pp.1-607, 2005.

K. Conrad, Probability distributions and maximum entropy, Entropy, pp.1-27, 2004.

R. G. Gallager, Gaussian random vectors and processes, Stochastic Processes, Theory for Applications, pp.101-160, 2014.

G. Perrin, A Posteriori Error and Optimal Reduced Basis for Stochastic Processes Defined by a Finite Set of Realizations, SIAM/ASA Journal on Uncertainty Quantification, vol.2, issue.1, pp.745-762, 2014.
DOI : 10.1137/130905095

URL : https://hal.archives-ouvertes.fr/hal-01097139

S. Smith, Moving Average Filters Digital Signal Processing: A Practical Guide for Engineers and Scientists, pp.277-28450052

A. Saltelli, Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index, Computer Physics Communications, vol.181, issue.2, pp.259-270, 2010.
DOI : 10.1016/j.cpc.2009.09.018

J. Jacques, C. Lavergne, and N. Devictor, Sensitivity analysis in presence of model uncertainty and correlated inputs, Reliability Engineering & System Safety, vol.91, issue.10-11, pp.10-11, 2006.
DOI : 10.1016/j.ress.2005.11.047

URL : https://hal.archives-ouvertes.fr/hal-00194061

M. J. Jansen, W. A. Rossing, and R. A. Daamen, Monte Carlo estimation of uncertainty contributions from several independent multivariate sources Predictability and Nonlinear Modelling in Natural Sciences and Economics, pp.334-343, 1994.

A. Janon, Asymptotic normality and efficiency of two Sobol index estimators ementine Prieur To cite this version, ESAIM: Probability and Statistics, pp.342-364, 2014.

G. E. Archer, A. Saltelli, and I. M. Sobol, Sensitivity measures,anova-like Techniques and the use of bootstrap, Journal of Statistical Computation and Simulation, vol.2, issue.2, pp.99-120, 1997.
DOI : 10.1142/S0129183195000204

J. Yang, Environmental Modelling & Software Convergence and uncertainty analyses in Monte- Carlo based sensitivity analysis, In: Environmental Modelling and Software, vol.264, pp.444-457, 2011.
DOI : 10.1016/j.envsoft.2010.10.007

E. T. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630, 1957.
DOI : 10.1103/PhysRev.106.620

T. M. Cover and J. Thomas, Elements of Information Theory, pp.1-748, 2005.

O. Vo, E. Van, X. Balmes, and . Lorang, Damping characterization of a high speed train catenary, International Symposium on Dynamics of Vehicles on roads and tracks. 2015. DOI: 10 . 1201, pp.21185-159

O. Vo and . Van, Introduction of variability into pantograph-catenary dynamic simulations, Vehicle System Dynamics, vol.5210, pp.1254-1269, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01102777

O. Vo and . Van, Introduction of Variability Into Pantograph-Catenary Dynamic Simulations, International Symposium on Dynamics of Vehicles on roads and tracks, pp.1-8
URL : https://hal.archives-ouvertes.fr/hal-01102777

O. Vo, E. Van, J. Balmes, and . Massat, Statistical identification of geometric parameters for high speed train catenary, International Conference on Noise and Vibration, pp.2-11

O. Vo and . Van, Sensitivity analysis of catenary geometry on current collection quality, Proceedings of the Third International Conference on Railway Technology: Research, Development and Maintenance, pp.1-17, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01341169