, Cet aspect a été négligé dans notre étude du fait de l'utilisation d'un modèle de deux oscillateurs liés, supérieurs des structures

S. A. Anagnostopoulos, Building pounding re-examined: how serious a problem is it ?, Proceedings of the 11 th World Conference on Earthquake Engineering, 1996.

V. V. Bertero, B. Bresler, L. G. Selna, A. K. Chopra, and A. V. Koretsky, Design implications of damage observed in the Olive view medical center buildings, Proceedings of the 5 th World Conference on Earthquake Engineering, 1973.

F. R. Rojas and J. C. Anderson, Pounding of an 18-story building during recorded earthquakes, Journal of Structural Engineering, vol.138, issue.12, pp.1530-1544, 2012.

K. Kasai and B. F. Maison, Building pounding damage during the, Loma Prieta earthquake. Engineering Structures, vol.19, issue.3, pp.195-207, 1989.

A. Pomonis, A. W. Coburn, and S. Ledbetter, A field report by EEFIT. Earthquake Engineering Field Investigation Team Institution of Structural Engineers, 1990.

S. Nagarajaiah and X. , Base-isolated FCC building: impact response in Northridge earthquake, Journal of Structural Engineering, vol.129, issue.9, pp.1063-1075, 2001.

R. Chung, Hyogoken-Nanbu (Kobe) earthquake. National Institute of Standards and Technology, 1995.

P. Gulkan and S. Akkar, Two recent strong motion records from Turkey : Re-interpretation of Bolu (1999) and Bingöl (2003) seismograms, Proceedings of the Third UNJR Workshop on Soil-Structure Interaction, 2004.

G. L. Cole, R. P. Dhakal, A. Carr, and D. Bull, Interbuilding pounding damage observed in the 2010 Darfield earthquake, Bulletin of the New Zealand Society for Earthquake Engineering, vol.43, issue.4, pp.382-386, 2010.

G. L. Cole, R. P. Dhakal, and F. M. Turner, Building pounding damage observed in the 2011 Christchurch earthquake, Earthquake Engineering & Structural Dynamics, vol.41, issue.5, pp.893-913, 2012.

N. Chouw and H. Hao, Pounding damage to buildings and bridges in the 22 February 2011 Christchurch earthquake, International Journal of Protective Structures, vol.3, issue.2, pp.123-139, 2012.

P. Wagner, Etude experimentale sur le cognement seismique des bâtiments, 1994.

M. Barbato and E. Tubaldi, A probabilistic performance-based approach for mitigating the seismic pounding risk between adjacent buildings, Earthquake Engineering & Structural Dynamics, vol.42, issue.8, pp.1203-1219, 2013.

V. Jeng, K. Kasai, and B. F. Maison, A spectral difference method to estimate building separations to avoid pounding, Earthquake Spectra, vol.8, issue.2, pp.201-223, 1992.

J. Penzien, Evaluation of building separation distance required to prevent pounding during strong earthquakes, Earthquake Engineering & Structural Dynamics, vol.26, issue.8, pp.849-858, 1997.

S. A. Anagnostopoulos, Pounding of buildings in series during earthquakes, Earthquake Engineering & Structural Dynamics, vol.16, issue.3, pp.443-456, 1988.

C. J. Athanassiadou, G. Penelis, and A. J. Kappos, Seismic response of adjacent buildings with similar or different dynamic characteristics, Earthquake Spectra, vol.10, issue.2, pp.293-317, 1994.

R. E. Valles and A. M. Reinhorn, Evaluation, prevention and mitigation of pounding effects in building structures, 1997.

S. Muthukumar and R. Desroches, A Hertz contact model with non-linear damping for pounding simulation, Earthquake Engineering & Structural Dynamics, vol.35, issue.7, pp.811-828, 2006.

S. Khatiwada, N. Chouw, and J. W. Butterworth, Evaluation of numerical pounding models with experimental validation, Proceedings of the 2013 New Zealand Society for Earthquake Engineering Annual Technical Conference, 2013.

A. Ruangrassamee and K. Kawashima, Relative displacement response spectra with pounding effect, Earthquake Engineering & Structural Dynamics, vol.30, issue.10, pp.1511-1538, 2001.

R. O. Davis, Pounding of buildings modelled by an impact oscillator, Earthquake Engineering & Structural Dynamics, vol.21, issue.3, pp.253-274, 1992.

K. T. Chau and X. X. Wei, Pounding of structures modelled as non-linear impacts of two oscillators, Earthquake Engineering & Structural Dynamics, vol.30, issue.5, pp.633-651, 2001.

J. Thompson and H. B. Stewart, Nonlinear dynamics and chaos. 2 nd edition, 2002.

E. Dimitrakopoulos, N. Makris, and A. J. Kappos, Dimensional analysis of the earthquakeinduced pounding between adjacent structures, Earthquake Engineering & Structural Dynamics, vol.38, issue.7, pp.867-886, 2009.

E. Dimitrakopoulos, A. J. Kappos, and N. Makris, Dimensional analysis of yielding and pounding structures for records without distinct pulses, Soil Dynamics and Earthquake Engineering, vol.29, issue.7, pp.1170-1180, 2009.

E. G. Dimitrakopoulos, N. Makris, and A. J. Kappos, Dimensional analysis of the earthquakeinduced pounding between inelastic structures, Bulletin of Earthquake Engineering, vol.9, issue.2, pp.561-579, 2011.

Y. Caniou, Global sensitivity analysis for nested and multiscale modelling, 2012.
URL : https://hal.archives-ouvertes.fr/tel-00864175

I. Sobol?, Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates, Mathematics and Computers in Simulation, vol.55, issue.3, pp.271-280, 2001.

G. Barenblatt and . Similarity, Self-similarity, and Intermediate Asymptotics, 2012.

S. A. Anagnostopoulos, Equivalent viscous damping for modeling inelastic impacts in earthquake pounding problems, Earthquake Engineering & Structural Dynamics, vol.33, issue.8, pp.897-902, 2004.

K. Kanai, Semi-empirical formula for the seismic characteristics of ground, Transactions of the Architectural Institute of Japan, vol.57, issue.1, pp.281-284, 1957.

R. W. Clough and J. Penzien, Dynamics of structures. 2 nd Edition, 1993.

, Building Seimic Safety Council. NEHRP recommended provisions for seismic regulations for new buildings and other structures, FEMA, vol.450, 2003.

, European Committee for Standardization. Eurocode 8: design provision for earthquake resistance of structures, 1998.

W. Hoeffding, A class of statistics with asymptotically normal distribution, The Annals of Mathematical Statistics, vol.19, issue.3, pp.293-325, 1948.

A. Saltelli, S. Tarantola, F. Campolongo, and M. Ratto, Sensitivity analysis in practice. A guide to assessing scientific models, 2004.

, Global sensitivity analysis: the primer, 2008.

A. Saltelli, P. Annoni, I. Azzini, F. Campolongo, M. Ratto et al., 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.

E. Song, B. L. Nelson, and J. Staum, Shapley effects for global sensitivity analysis: theory and computation, SIAM/ASA Journal on Uncertainty Quantification, vol.4, issue.1, pp.1060-1083, 2016.

K. T. Chau, X. X. Wei, X. Guo, and C. Y. Shen, Experimental and theoretical simulations of seismic poundings between two adjacent structures, Earthquake Engineering & Structural Dynamics, vol.32, issue.4, pp.537-554, 2003.

K. T. Chau, L. X. Wang, X. X. Wei, and C. Y. Shen, Experimental and theoretical simulations of seismic torsional poundings between two adjacent structures, Proceedings of the 13 th World Conference on Earthquake Engineering, 2004.

K. T. Chau, L. X. Wang, and X. X. Wei, Torsional poundings between two adjacent asymmetric structures, Proceedings of the 4 th International Conference on Earthquake Engineering, 2006.

H. Takabatake, M. Yasui, Y. Nakagawa, and A. Kishida, Relaxation method for pounding action between adjacent buildings at expansion joint, Earthquake Engineering & Structural Dynamics, vol.43, issue.9, pp.1381-1400, 2014.

S. Khatiwada, N. Chouw, and T. Larkin, Discussion on 'Relaxation method for pounding action between adjacent buildings at expansion joint, Earthquake Engineering & Structural Dynamics, vol.44, issue.1, pp.159-162, 2015.

R. Jankowski, A. Seleemah, S. El-khoriby, and H. Elwardany, Experimental study on pounding between structures during damaging earthquakes, Key Engineering Materials, vol.627, pp.249-252, 2014.

M. Papadrakakis and H. P. Mouzakis, Earthquake simulator testing of pounding between adjacent buildings, Earthquake Engineering & Structural Dynamics, vol.24, issue.6, pp.811-834, 1995.

M. Papadrakakis, H. Mouzakis, N. Plevris, and S. Bitzarakis, A Lagrange multiplier solution method for pounding of buildings during earthquakes, Earthquake Engineering & Structural Dynamics, vol.20, issue.11, pp.981-998, 1991.

A. Filiatrault, P. Wagner, and S. Cherry, Analytical prediction of experimental building pounding, Earthquake Engineering & Structural Dynamics, vol.24, issue.8, pp.1131-1154, 1995.

L. X. Wang, K. T. Chau, and X. X. Wei, Numerical simulations of nonlinear seismic torsional pounding between two single-story structures, Advances in Structural Engineering, vol.12, issue.1, pp.87-101, 2009.

A. Masroor and G. Mosqueda, Experimental simulation of base-isolated buildings pounding against moat wall and effects on superstructure response, Earthquake Engineering & Structural Dynamics, vol.41, issue.14, pp.2093-2109, 2012.

R. Jankowski, Experimental study on earthquake-induced pounding between structural elements made of different building materials, Earthquake Engineering & Structural Dynamics, vol.39, pp.343-354, 2010.

E. Leibovich, A. Rutenberg, and D. Yankelevsky, Pounding response of adjacent concrete rods: an experimental study, International Journal of Protective Structures, vol.3, issue.3, pp.355-373, 2012.

S. Khatiwada, N. Chouw, and T. Larkin, An experimental investigation on contact behaviour during structural pounding, Proceegings of the 2014 New Zealand Society for Earthquake Engineering Annual Technical Conference, 2014.

P. Mongabure, Verification du systeme de suivi de cible par stereovision, 2016.

P. Charbonnel, Synthèse des techniques récentes d'analyse modale expérimentale et operationnelle, 2014.

K. H. Hunt and E. Crossley, Coefficient of restitution as damping in vibroimpact, Journal of Applied Mechanics, vol.42, pp.440-445, 1975.
URL : https://hal.archives-ouvertes.fr/hal-01333795

R. J. Gibert, Vibration des structures. Interaction avec les fluides. Sources d'excitation aléatoires, 1988.

T. Belytschko and M. O. Neal, Contact-impact by the pinball algorithm with penalty and Lagrangian methods, International Journal for Numerical Methods in Engineering, vol.31, issue.3, pp.547-572, 1991.

T. Hughes, R. L. Taylor, J. L. Sackman, A. Curnier, and W. Kanoknukulchai, A finite element method for a class of contact-impact problems, Computer Methods in Applied Mechanics and Engineering, vol.8, issue.3, pp.249-276, 1976.

H. M. Hilber, T. Hughes, and R. L. Taylor, Improved numerical dissipation for time integration algorithms in structural dynamics, Earthquake Engineering & Structural Dynamics, vol.5, issue.3, pp.283-292, 1977.

W. Goldsmith and . Impact, The theory and physical behaviour of colliding solids, 1999.

H. P. Mouzakis and M. Papadrakakis, Three dimensional nonlinear building pounding with friction during earthquakes, Journal of Earthquake Engineering, vol.8, issue.1, pp.107-132, 2004.

E. Leibovich, A. Rutenberg, and D. Z. Yankelevsky, On eccentric seismic pounding of symetric buildings, Earthquake Engineering & Structural Dynamics, vol.25, issue.3, pp.219-233, 1996.

I. Politopoulos, Méthodes de traitement de l'impact, 1997.

P. Pegon, Derivation of proportional viscous damping matrices, 1997.

S. A. Anagnostopoulos and C. E. Karamaneas, Use of collision shear walls to minimize seismic separation and to protect adjacent buildings from collapse due to earthquake-induced pounding, Earthquake Engineering & Structural Dynamics, vol.37, issue.12, pp.1371-1388, 2008.

R. C. Barros and S. M. Khatami, Seismic response effect of shear walls in reducing pounding risk of reinforced concrete buildings subjected to near-fault ground motions, Proceedings of the 15 th World Conference on Earthquake Engineering, 2012.

P. C. Polycarpou and P. Komodromos, Numerical investigation of potential mitigation measures for poundings of seismically isolated buildings, Earthquakes and Structures, vol.2, issue.1, pp.1-24, 2011.

P. C. Polycarpou and P. Komodromos, Rubber shock absorbers as a mitigation technique for earthquake induced pounding, Beer M, Kougioumtzoglou IA, Patelli E. Encyclopedia of earthquake engineering, 2014.

J. He, Y. Jiang, Q. Xue, C. Zhang, and J. Zhang, Energy response analysis of adjacent structures with polymer bumpers under seismic loadings, Advances in Mechanical Engineering, vol.10, issue.12, pp.1-24, 2018.

B. So?tysik, T. Falborski, and R. Jankowski, Preventing of earthquake-induced pounding between steel structures by using polymer elements -experimental study, Proceeding 10th International Conference on Earthquake Engineering, 2017.

B. D. Westermo, The dynamics of interstructural connection to prevent pounding, Earthquake Engineering & Structural Dynamics, vol.18, issue.5, pp.687-699, 1989.

W. S. Zhang and Y. L. Xu, Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers, Earthquake Engineering & Structural Dynamics, vol.28, issue.10, pp.1163-1185, 1999.

Y. L. Xu, Q. He, and J. M. Ko, Dynamic response of damper-connected adjacent buildings under earthquake excitation, Engineering Structures, vol.21, issue.2, pp.135-148, 1999.

J. E. Luco, D. Barros, and F. , Optimal damping between two adjacent elastic structures, Earthquake Engineering & Structural Dynamics, vol.27, issue.7, pp.649-659, 1998.

J. E. Luco and H. G. Wong, Control on the seismic response of adjacent structures, Proc. 1st World Conf. on Structural Control, vol.2, 1994.

T. T. Soong and M. C. Constantinou, Passive and active structural vibration control in civil engineering, 1994.

R. F. Stengel, Optimal control and estimation, 1994.

F. J. Fahy and Y. De-yuan, Power flow between non-conservatively coupled oscillators, Journal of Sound and Vibration, vol.114, issue.1, pp.1-11, 1987.

T. D. Scharton and R. H. Lyon, Power flow and energy sharing in random vibration, The Journal of the Acoustical Society of America, vol.43, issue.6, pp.1332-1343, 1968.

J. C. Sun, N. Lalor, and E. J. Richards, Power flow and energy balance of non-conservatively coupled structures, I: Theory, Journal of Sound and Vibration, vol.112, issue.2, pp.321-330, 1987.

M. L. Lai and T. T. Soong, Statistical energy analysis of primary-secondary structural systems, Journal of Engineering Mechanics, vol.116, issue.11, pp.2400-2413, 1990.

H. P. Zhu and H. Iemura, A study of response control on the passive coupling element between two parallel structures, Structural Engineering and Mechanics, vol.9, issue.4, pp.383-396, 2000.

H. P. Zhu and Y. L. Xu, Optimum parameters of Maxwell model-defined dampers used to link adjacent structures, Journal of Sound and Vibration, vol.279, issue.1-2, pp.253-274, 2005.

H. P. Zhu, Y. Wen, and H. Iemura, A study on interaction control for seismic response of parallel structures, Computers & Structures, vol.79, issue.2, pp.231-242, 2001.

V. Gattulli, F. Potenza, and M. Lepidi, Damping performance of two simple oscillators coupled by a visco-elastic connection, Journal of Sound and Vibration, vol.332, issue.26, pp.6934-6948, 2013.

V. Gattulli, F. Potenza, M. Lepidi, and . Corrigendum, Damping performance of two simple oscillators coupled by a dissipative connection, J. Sound Vibr, pp.2359-2377, 2014.

, Journal of Sound and Vibration, vol.333, issue.15, pp.3580-3582, 2014.

T. Aida, T. Aso, K. Takeshita, T. Takiuchi, and T. Fujii, Improvement of the structure damping performance by interconnection, Journal of Sound and Vibration, vol.242, issue.2, pp.333-353, 2001.

V. Gattulli, F. Potenza, and B. F. Spencer, Design criteria for dissipative devices in coupled oscillators under seismic excitation, Structural Control and Health, p.2167, 2018.

A. Filiatrault and B. Folz, Nonlinear earthquake response of structurally interconnected buildings, Canadian Journal of Civil Engineering, vol.19, issue.4, pp.560-572, 1992.

M. Basili, D. Angelis, and M. , Optimal passive control of adjacent structures interconnected with nonlinear hysteretic devices, Journal of Sound and Vibration, vol.301, issue.1-2, pp.106-125, 2007.

Y. Q. Ni, J. M. Ko, and Z. G. Ying, Random seismic response analysis of adjacent buildings coupled with non-linear hysteretic dampers, Journal of Sound and Vibration, vol.246, issue.3, pp.403-417, 2001.

H. Haramoto, K. Seto, and Y. Koike, Active vibration control of triple flexible structures arranged in parallel, Japan Society of Mechanical Engineers International Journal, vol.43, issue.3, pp.712-718, 2000.

R. E. Christenson, B. F. Spencer, E. A. Johnson, and K. Seto, Coupled building control considering the effects of building/connector Configuration, Journal of Structural Engineering, vol.132, issue.6, pp.853-863, 2006.

R. E. Christenson, Semiactive control of civil structures for natural hazard mitigation: analytical and experimental studies, 2001.

G. B. Motra, W. Mallik, and N. K. Chandiramani, Semi-active vibration control of connected buildings using magnetorheological dampers, Journal of Intelligent Material Systems and Structures, vol.22, issue.16, pp.1811-1827, 2011.