B. Agrawal, Mode synthesis technique for dynamic analysis of structures, The Journal of the Acoustical Society of America, vol.59, issue.6, pp.1329-1338, 1976.
DOI : 10.1121/1.381019

M. Allen, R. Mayes, and E. Bergman, Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi-point connections, Journal of Sound and Vibration, vol.329, issue.23, pp.4891-4906, 2010.
DOI : 10.1016/j.jsv.2010.06.007

M. Allen, H. Gindlin, and R. Mayes, Experimental modal substructuring to estimate fixed-base modes from tests on a flexible fixture, Journal of Sound and Vibration, vol.330, issue.18-19, pp.4413-4428, 2011.
DOI : 10.1016/j.jsv.2011.04.010

D. Amsallem and C. Farhat, An Online Method for Interpolating Linear Parametric Reduced-Order Models, SIAM Journal on Scientific Computing, vol.33, issue.5, pp.2169-2198, 2011.
DOI : 10.1137/100813051

J. Argyris and S. Kelsey, The Analysis of Fuselages of Arbitrary Cross???section and Taper, Aircraft Engineering and Aerospace Technology, vol.31, issue.9, pp.272-83, 1959.
DOI : 10.1108/eb033156

J. Argyris and H. Mlejnek, Dynamics of structures. North-Holland, 1991.

E. Balmes, Optimal Ritz vectors for component mode synthesis using the singular value decomposition, AIAA Journal, vol.34, pp.1256-1260, 1996.

K. Bathe and S. Gracewski, On nonlinear dynamic analysis using substructuring and mode superposition, Computers & Structures, vol.13, issue.5-6, pp.699-707, 1981.
DOI : 10.1016/0045-7949(81)90032-8

K. Bathe and E. Wilson, Numerical methods in finite element analysis, 1976.

Y. Bazilevs, K. Takizawa, and T. Tezduyar, Computational fluid-structure interaction, 2013.
DOI : 10.1002/9781118483565

T. Belytschko, W. Liu, and B. Moran, Nonlinear finite element for continua and structures, 2000.

W. Benfield and R. Hruda, Vibration Analysis of Structures by Component Mode Substitution, AIAA Journal, vol.9, issue.7, pp.1255-1261, 1971.
DOI : 10.2514/3.49936

D. Bland, The theory of linear viscoelasticity, 1960.

F. Bourquin and F. Hennezel, Numerical study of an intrinsic component mode synthesis method, Computer Methods in Applied Mechanics and Engineering, vol.97, issue.1, pp.49-76, 1992.
DOI : 10.1016/0045-7825(92)90107-U

URL : https://hal.archives-ouvertes.fr/inria-00075231

A. Brown and A. Ferri, Probabilistic component mode synthesis of nondeterministic substructures, AIAA Journal, vol.34, issue.4, pp.830-834, 1996.
DOI : 10.2514/3.13146

M. Castanier, Y. Tan, and C. Pierre, Characteristic Constraint Modes for Component Mode Synthesis, AIAA Journal, vol.39, issue.6, pp.1182-1187, 2001.
DOI : 10.2514/2.1433

F. Chatelin, Eigenvalues of matrices -Revised edition, Society for Industrial and Applied Mathematics (SIAM, 2012.

R. Clough and J. Penzien, Dynamics of Structures, Journal of Applied Mechanics, vol.44, issue.2, 1975.
DOI : 10.1115/1.3424082

R. Craig, A review of time domain and frequency domain component mode synthesis method in Combined experimental-analytical modeling of dynamic structural systems, 1985.

R. Craig and M. Bampton, Coupling of substructures for dynamic analyses, AIAA Journal, vol.6, pp.1313-1322, 1968.

R. Craig and A. Kurdila, Fundamentals of structural dynamics, 2006.

R. Dautray and J. Lions, Mathematical analysis and numerical methods for science and technology Berlin 24 General framework for dynamic substructuring: History, review, and classification of techniques, de Klerk D. Rixen DJ. Voormeeren SN AIAA Journal, vol.46, pp.1169-1181, 1992.

O. El-khoury, Recent Advances on Vibration Control of Structures Under Dynamic Loading, Archives of Computational Methods in Engineering, vol.13, issue.2, pp.353-360
DOI : 10.1007/s11831-013-9088-2

C. Farhat and M. Geradin, On a component mode synthesis method and its application to incompatible substructures, Computers & Structures, vol.51, issue.5, pp.459-473, 1994.
DOI : 10.1016/0045-7949(94)90053-1

C. Felippa, K. Park, and C. Farhat, Partitioned analysis of coupled mechanical systems, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.24-25, pp.3247-3270, 2001.
DOI : 10.1016/S0045-7825(00)00391-1

M. Geradin and D. Rixen, Mechanical vibrations: Theory and applications to structural dynamics, 1997.

R. Guyan, Reduction of stiffness and mass matrices, AIAA Journal, vol.3, issue.2, pp.380-380, 1965.
DOI : 10.2514/3.2874

A. Hale and L. Meirovitch, A Procedure for Improving Discrete Substructure Representation in Dynamic Synthesis, AIAA Journal, vol.20, issue.8, pp.1128-1136, 1982.
DOI : 10.2514/3.51173

J. Har and K. Tamma, Advances in computational dynamics of particles, materials and structures, 2012.
DOI : 10.1002/9781119965893

M. Herran, D. Nelias, and A. Combescure, Optimal component mode synthesis for medium frequency problem, International Journal for Numerical Methods in Engineering, vol.24, issue.1, pp.301-315
DOI : 10.1002/nme.3064

URL : https://hal.archives-ouvertes.fr/hal-01372210

L. Hinke, F. Dohnal, B. Mace, T. Waters, and N. Ferguson, Component mode synthesis as a framework for uncertainty analysis, Journal of Sound and Vibration, vol.324, issue.1-2, pp.161-178, 2009.
DOI : 10.1016/j.jsv.2009.01.056

S. Hong, B. Epureanu, M. Castanier, and D. Gorsich, Parametric reduced-order models for predicting the vibration response of complex structures with component damage and uncertainties, Journal of Sound and Vibration, vol.330, issue.6, pp.1091-1110, 2011.
DOI : 10.1016/j.jsv.2010.09.022

T. Hughes, The finite element method: Linear static and dynamic finite element analysis, 2000.

W. Hurty, Vibrations of structural systems by component mode synthesis, Journal of Engineering Mechanics, vol.86, pp.51-69, 1960.

W. Hurty, Dynamic analysis of structural systems using component modes, AIAA Journal, vol.3, issue.4, pp.678-685, 1965.
DOI : 10.2514/3.2947

D. Inman, Vibration with control, 2006.
DOI : 10.1002/0470010533

L. Jezequel, A hybrid method of modal synthesis using vibration tests, Journal of Sound and Vibration, vol.100, issue.2, pp.191-210, 1985.
DOI : 10.1016/0022-460X(85)90415-8

M. Kassem, C. Soize, and L. Gagliardini, Structural partitioning of complex structures in the medium-frequency range. An application to an automotive vehicle, Journal of Sound and Vibration, vol.330, issue.5, pp.937-946, 2011.
DOI : 10.1016/j.jsv.2010.09.008

URL : https://hal.archives-ouvertes.fr/hal-00684293

E. Kuhar and C. Stahle, Dynamic Transformation Method for Modal Synthesis, AIAA Journal, vol.12, issue.5, pp.672-678, 1974.
DOI : 10.2514/3.49318

A. Leung, Dynamic stiffness and substructures, 1993.
DOI : 10.1007/978-1-4471-2026-1

C. Lim, S. Neild, D. Stoten, D. Drury, and C. Taylor, Adaptive Control Strategy for Dynamic Substructuring Tests, Journal of Engineering Mechanics, vol.133, issue.8, pp.864-873, 2007.
DOI : 10.1061/(ASCE)0733-9399(2007)133:8(864)

E. Lindberg, N. Horlin, and P. Goransson, Component Mode Synthesis Using Undeformed Interface Coupling Modes to Connect Soft and Stiff Substructures, Shock and Vibration, vol.20, issue.1, pp.157-170, 2013.
DOI : 10.1155/2013/262354

W. Liu, E. Karpov, and H. Park, Nanomechanics and materials -Theory, multiscale methods and applications, 2006.

W. Liu and D. Ewins, Substructure synthesis via elastic media Part I: Joint identification in Proceedings of the 18th IMAC Conference on Computational Challenges in Structural Dynamics (IMAC-XVIII) Book Series: Proceedings of The Society of Photo-Optical Instrumentation Engineers, SPIE) Bellingham, vol.4062, pp.1153-1159, 2000.

R. Macneal, A hybrid method of component mode synthesis, Computers & Structures, vol.1, issue.4, pp.581-601, 1971.
DOI : 10.1016/0045-7949(71)90031-9

D. Markovic, K. Park, and A. Ibrahimbegovic, Reduction of substructural interface degrees of freedom in flexibility-based component mode synthesis, International Journal for Numerical Methods in Engineering, vol.24, issue.1, pp.163-180, 2007.
DOI : 10.1002/nme.1878

L. Meirovitch, Computational methods in structural dynamics, 1980.

L. Meirovitch and A. Hale, On the Substructure Synthesis Method, AIAA Journal, vol.19, issue.7, pp.940-947, 1981.
DOI : 10.2514/3.51023

L. Meirovitch and M. Kwak, Rayleigh-Ritz based substructure synthesis for flexible multibody systems, AIAA Journal, vol.29, issue.10, pp.1709-1719, 1991.
DOI : 10.2514/3.10794

M. Mignolet, C. Soize, and J. Avalos, Nonparametric Stochastic Modeling of Structures with Uncertain Boundary Conditions/Coupling Between Substructures, AIAA Journal, vol.51, issue.6, pp.1296-1308, 2013.
DOI : 10.2514/1.J051555

URL : https://hal.archives-ouvertes.fr/hal-00686147

H. Morand and R. Ohayon, Substructure variational analysis of the vibrations of coupled fluid-structure systems. Finite element results, International Journal for Numerical Methods in Engineering, vol.1, issue.5, pp.741-755, 1979.
DOI : 10.1002/nme.1620140508

H. Morand and R. Ohayon, Fluid structure interaction, 1995.

J. Morgan, C. Pierre, and G. Hulbert, Calculation of Component Mode Synthesis Matrices From Measured Frequency Response Functions, Part 1: Theory, Journal of Vibration and Acoustics, vol.120, issue.2, pp.503-508, 1998.
DOI : 10.1115/1.2893858

J. Morgan, C. Pierre, and G. Hulbert, Calculation of Component Mode Synthesis Matrices From Measured Frequency Response Functions, Part 2: Application, Journal of Vibration and Acoustics, vol.120, issue.2, pp.509-516, 1998.
DOI : 10.1115/1.2893859

A. Nobari and D. Robb, A new approach to modal-based structural dynamic model updating and joint identification, Mechanical Systems and Signal Processing, vol.9, issue.1, pp.85-100, 1995.
DOI : 10.1006/mssp.1995.0007

J. Oden and J. Reddy, An introduction to the mathematical theory of finite elements, 2011.

R. Ohayon and C. Soize, Structural Acoustics and Vibration, The Journal of the Acoustical Society of America, vol.109, issue.6, 1998.
DOI : 10.1121/1.1352086

URL : https://hal.archives-ouvertes.fr/hal-00689039

R. Ohayon and C. Soize, Advanced Computational Dissipative Structural Acoustics and Fluid-Structure Interaction in Low-and Medium-Frequency Domains. Reduced-Order Models and Uncertainty Quantification, International Journal of Aeronautical and Space Sciences, vol.13, issue.2, pp.127-153, 2012.
DOI : 10.5139/IJASS.2012.13.2.127

URL : https://hal.archives-ouvertes.fr/hal-00713892

R. Ohayon and C. Soize, Structural dynamics in Encyclopedia of Applied and Computational Mathematics (EACM), 2013.

R. Ohayon and C. Soize, Advanced computational vibroacoustics, 2014.
DOI : 10.1017/CBO9781107785328

URL : https://hal.archives-ouvertes.fr/hal-01162161

R. Ohayon and C. Soize, Clarification about Component Mode Synthesis Methods for Substructures with Physical Flexible Interfaces, International Journal of Aeronautical and Space Sciences, vol.15, issue.2, 2013.
DOI : 10.5139/IJASS.2014.15.2.113

URL : https://hal.archives-ouvertes.fr/hal-01015767

R. Ohayon, R. Sampaio, and C. Soize, Dynamic Substructuring of Damped Structures Using Singular Value Decomposition, Journal of Applied Mechanics, vol.64, issue.2, pp.292-298, 1997.
DOI : 10.1115/1.2787306

URL : https://hal.archives-ouvertes.fr/hal-00770023

K. Park and Y. Park, Partitioned Component Mode Synthesis via a Flexibility Approach, AIAA Journal, vol.42, issue.6, pp.1236-1245, 2004.
DOI : 10.2514/1.10423

D. Perdahcioglu and H. Geijselaers, Dynamic substructuring and reanalysis methods in a surrogate-based design optimization environment, Structural and Multidisciplinary Optimization, vol.194, issue.8, pp.129-138, 2012.
DOI : 10.1007/s00158-011-0681-4

P. B. Sameh and A. , Eigenvalue and singular value problems 608-615 Encyclopedia of parallel computing, 2011.

J. Przemieniecki, MATRIX STRUCTURAL ANALYSIS OF SUBSTRUCTURES, AIAA Journal, vol.1, issue.1, pp.138-147, 1963.
DOI : 10.2514/3.1483

E. Reynders, System Identification Methods for (Operational) Modal Analysis: Review and Comparison, Archives of Computational Methods in Engineering, vol.15, issue.5, pp.51-124, 2012.
DOI : 10.1007/s11831-012-9069-x

D. Rixen, A dual Craig???Bampton method for dynamic substructuring, Journal of Computational and Applied Mathematics, vol.168, issue.1-2, pp.383-391, 2004.
DOI : 10.1016/j.cam.2003.12.014

S. Rubin, Improved Component-Mode Representation for Structural Dynamic Analysis, AIAA Journal, vol.13, issue.8, pp.995-1006, 1975.
DOI : 10.2514/3.60497

Y. Saad, Numerical methods for large eigenvalue problems, Society for Industrial and Applied Mathematics (SIAM, 2011.
DOI : 10.1137/1.9781611970739

J. Sanchez-hubert and E. Sanchez-palencia, Vibration and coupling of continuous systems -Asymptotic methods, 1989.

A. Sarkar and R. Ghanem, A substructure approach for the midfrequency vibration of stochastic systems, The Journal of the Acoustical Society of America, vol.113, issue.4, pp.1922-1934, 2003.
DOI : 10.1121/1.1558374

C. Soize, Stochastic models of uncertainties in computational mechanics, 2012.
DOI : 10.1061/9780784412237

URL : https://hal.archives-ouvertes.fr/hal-00749201

C. Soize and A. Batou, Stochastic Reduced-Order Model in Low-Frequency Dynamics in Presence of Numerous Local Elastic Modes, Journal of Applied Mechanics, vol.78, issue.6, pp.61003-61004, 2011.
DOI : 10.1115/1.4002593

URL : https://hal.archives-ouvertes.fr/hal-00692835

C. Soize and H. Chebli, Random Uncertainties Model in Dynamic Substructuring Using a Nonparametric Probabilistic Model, Journal of Engineering Mechanics, vol.129, issue.4, pp.449-457, 2003.
DOI : 10.1061/(ASCE)0733-9399(2003)129:4(449)

URL : https://hal.archives-ouvertes.fr/hal-00686215

C. Soize and S. Mziou, Dynamic Substructuring in the Medium-Frequency Range, AIAA Journal, vol.41, issue.6, pp.1113-1118, 2003.
DOI : 10.2514/2.2052

URL : https://hal.archives-ouvertes.fr/hal-00686214

C. Soize and I. Poloskov, Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation, Computers & Mathematics with Applications, vol.64, issue.11, pp.3594-3612, 2012.
DOI : 10.1016/j.camwa.2012.09.010

URL : https://hal.archives-ouvertes.fr/hal-00746280

L. Suarez and M. Singh, Improved fixed interface method for modal synthesis, AIAA Journal, vol.30, issue.12, pp.2952-2958, 1992.
DOI : 10.2514/3.11642

C. Truesdell, Mechanics of solids Theory of viscoelasticity, plasticity, elastic waves and elastic stability, 1984.

J. Tu, H. Yang, P. Lin, and P. Chen, Dynamics, control and real-time issues related to substructuring techniques: application to the testing of isolated structure systems, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol.41, issue.6, pp.507-522, 2013.
DOI : 10.1002/stc.1554

A. Urgueira, Dynamic analysis of coupled structures using experimental data. Thesis of the University of London for the Diploma of Imperial College of Science, Technology and Medecine, 1989.

S. Voormeeren, P. Van-der-valk, and D. Rixen, Generalized Methodology for Assembly and Reduction of Component Models for Dynamic Substructuring, AIAA Journal, vol.49, issue.5, pp.1010-1020, 2011.
DOI : 10.2514/1.J050724

O. Zienkiewicz and R. Taylor, The finite element method for solid and structural mechanics, 2005.