E. J. Kuhar and C. V. Stahle, Dynamic transformation method for modal synthesis, AIAA Journal, vol.12, issue.5, 1974.

R. R. Craig, A Review of Time Domain and Frequency Domain Component Mode Synthesis Method Combined Experimental-Analytical Modeling of Dynamic Structural Systems, 1985.

D. De-klerk, D. J. Rixen, and S. N. Voormeeren, General Framework for Dynamic Substructuring: History, Review and Classification of Techniques, AIAA Journal, vol.46, issue.5, 2008.
DOI : 10.2514/1.33274

J. H. Argyris, K. , and S. , The analysis of fuselages of arbitrary crosssection and taper: A DSIR sponsored reserach program on the development and application of the matrix force method and the digital computer, Aircraft Engineering and Aerospace Technology, vol.31, issue.9, pp.272283-272293, 1108.

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

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

B. Irons, Structural eigenvalue problems - elimination of unwanted variables, AIAA Journal, vol.3, issue.5, 1965.
DOI : 10.2514/3.3027

W. C. Hurty, Vibrations of structural systems by component mode synthesis, Journal of Engineering Mechanics / American Society of Civil Engineers, vol.86, issue.4, p.5169, 1960.

W. C. Hurty, Dynamic analysis of structural systems using component modes, AIAA Journal, vol.3, issue.4, 1965.

R. R. Craig and M. C. Bampton, Coupling of substructures for dynamic analyses, AIAA Journal, vol.6, issue.7, 1968.

W. A. Benfield and R. F. Hruda, Vibration analysis of structures by component mode substitution, AIAA Journal, vol.9, issue.7, 1971.

R. M. Hintz, Analytical Methods in Component Modal Synthesis, AIAA Journal, vol.13, issue.8, 1975.
DOI : 10.2514/3.60498

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

E. Bathe and S. Gracewski, On non-linear dynamic analysis using substructuring and mode superposition, Computers and Structures, vol.1381, issue.5, pp.699707-699717, 1981.

L. Meirovitch and A. L. Hale, On the substructure synthesis method, AIAA Journal, vol.19, issue.7, 1981.

A. L. Hale and L. Meirovitch, A procedure for improving discrete substructure representation in dynamic synthesis, AIAA Journal, vol.20, issue.8, 1982.

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

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.4976-4986, 1992.
DOI : 10.1016/0045-7825(92)90107-U
URL : https://hal.archives-ouvertes.fr/inria-00075231

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

C. Farhat and M. Geradin, On a component mode synthesis method and its application to incompatible substructures, Computers & Structures, vol.51, issue.5, pp.459473-459483, 1994.
DOI : 10.1016/0045-7949(94)90053-1

E. Balmes, Optimal Ritz vectors for component mode synthesis using the singular value decomposition, AIAA Journal, vol.34, issue.6, 1996.

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

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

S. N. Voormeeren, P. L. Van-der-valk, and D. J. And-rixen, Generalized Methodology for Assembly and Reduction of Component Models for Dynamic Substructuring, AIAA Journal, vol.49, issue.5, 2011.
DOI : 10.2514/1.J050724

E. Lindberg, N. E. 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.157-167, 2013.
DOI : 10.1155/2013/262354

R. H. Macneal, A hybrid method of component mode synthesis, Computers & Structures, vol.1, issue.4, p.581601, 1971.
DOI : 10.1016/0045-7949(71)90031-9

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

R. R. Craig, C. , and C. J. , Free-interface methods of substructure coupling for dynamic analysis, AIAA Journal, vol.14, issue.11, 1976.
DOI : 10.2514/3.7264

D. C. Kammer and M. Baker, Comparison of the Craig-Bampton and Residual Flexibility Methods of Substructure Representation, Journal of Aircraft, vol.24, issue.4, 1987.

J. R. Admire, M. L. Tinker, I. , and E. W. , Residual Flexibility test Method for Verification of Constrained Structural Modes, AIAA Journal, vol.32, issue.1, 1994.

A. Majed and P. D. Spanos, Nonlinear Dynamics of Structures Via Residual Flexibility of Components, Journal of Aerospace Engineering, vol.10, issue.4, pp.893-13214, 1997.
DOI : 10.1061/(ASCE)0893-1321(1997)10:4(173)

A. Majed and E. E. Henkel, Improved Method of Mixed-Boundary Component-Mode Representation for Structural Dynamic Analysis, Journal of Spacecraft and Rockets, vol.42, issue.5, 2005.
DOI : 10.2514/1.8334

D. M. Tran, Component mode synthesis methods using partial interface modes: Application to tuned and mistuned structures with cyclic symmetry, Computers & Structures, vol.87, issue.17-18, pp.17-18, 2009.
DOI : 10.1016/j.compstruc.2009.04.009

R. Ohayon, R. Sampaio, and C. Soize, Dynamic Substructuring of Damped Structures Using Singular Value Decomposition, Journal of Applied Mechanics, vol.64, issue.2, 1997.
DOI : 10.1115/1.2787306
URL : https://hal.archives-ouvertes.fr/hal-00770023

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

D. Markovic, K. C. 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, 2007.
DOI : 10.1002/nme.1878

L. R. Klein and E. H. Dowell, Analysis of Modal Damping by Component Modes Method Using Lagrange Multipliers, Journal of Applied Mechanics, vol.41, issue.2, p.527, 1974.
DOI : 10.1115/1.3423328

R. R. Craig and Y. T. Yung-tsen, Generalized Substructure Coupling Procedure for Damped Systems, AIAA Journal, vol.20, issue.3, 1982.
DOI : 10.2514/3.51089

D. A. Qian and J. S. Hansen, Substructure synthesis method for frequency response of viscoelastic structures, AIAA Journal, vol.33, issue.3, 1995.
DOI : 10.2514/3.12607

W. Wang and J. Kirkhope, Complex component mode synthesis for damped systems, Journal of Sound and Vibration, vol.181, issue.5, p.171, 1995.
DOI : 10.1006/jsvi.1995.0171

A. Fenander, Modal synthesis when modeling damping by use of fractional derivatives, AIAA Journal, vol.34, issue.5, 1996.
DOI : 10.2514/3.13186

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

M. I. Friswell and D. J. Inman, Reduced-order models of structures with viscoelastic components, AIAA Journal, vol.37, issue.10, 1999.

J. A. Morgan, P. , C. Hulbert, and G. M. , BASEBAND METHODS OF COMPONENT MODE SYNTHESIS FOR NON-PROPORTIONALLY DAMPED SYSTEMS, Mechanical Systems and Signal Processing, p.1467, 2001.
DOI : 10.1006/mssp.2001.1467

M. H. Liu and G. T. Zheng, Improved Component-Mode Synthesis for Nonclassically Damped Systems, AIAA Journal, vol.46, issue.5, 2008.
DOI : 10.2514/1.32869

S. Dieker, K. Abdoly, and A. Rittweger, Flexible Boundary Method in Dynamic Substructure Techniques Including Different Component Damping, AIAA Journal, vol.48, issue.11, 2010.
DOI : 10.2514/1.J050484

Z. Liu and Z. Wu, Iterative-Order-Reduction Substructuring Method for Dynamic Condensation of Finite Element Models, AIAA Journal, vol.49, issue.1, p.96, 2011.
DOI : 10.2514/1.J050184

C. Soize and S. Mziou, Dynamic substructuring in the mediumfrequency range, AIAA Journal, vol.41, issue.6, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00686214

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, 1922.
DOI : 10.1121/1.1558374

M. Herran, D. Nelias, A. Combescure, and H. Chalons, Optimal component mode synthesis for medium frequency problem, International Journal for Numerical Methods in Engineering, vol.24, issue.1, 2011.
DOI : 10.1002/nme.3064
URL : https://hal.archives-ouvertes.fr/hal-01372210

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, 2011.
DOI : 10.1016/j.jsv.2010.09.008
URL : https://hal.archives-ouvertes.fr/hal-00684293

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

C. Soize, C. , and H. , Random Uncertainties Model in Dynamic Substructuring Using a Nonparametric Probabilistic Model, Journal of Engineering Mechanics, vol.129, issue.4, pp.733-93994, 2003.
DOI : 10.1061/(ASCE)0733-9399(2003)129:4(449)
URL : https://hal.archives-ouvertes.fr/hal-00686215

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

S. Hong, B. I. Epureanu, M. P. Castanier, and D. J. 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, 2011.
DOI : 10.1016/j.jsv.2010.09.022

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

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, 2012.
DOI : 10.5139/IJASS.2012.13.2.127
URL : https://hal.archives-ouvertes.fr/hal-00713892

M. P. Mignolet, C. Soize, and J. Avalos, Nonparametric Stochastic Modeling of Structures with Uncertain Boundary Conditions/Coupling Between Substructures, AIAA Journal, vol.51, issue.6, p.1296, 1308.
DOI : 10.2514/1.J051555
URL : https://hal.archives-ouvertes.fr/hal-00686147

L. Jezequel, A hybrid method of modal synthesis using vibration tests, Journal of Sound and Vibration, vol.100, issue.2, pp.22-460, 1985.
DOI : 10.1016/0022-460X(85)90415-8

A. P. Urgueira, Dynamic Analysis of Coupled Structures Using Experimental Data, 1989.

A. S. Nobari, D. A. Robb, and D. J. Ewins, A new approach to modalbased structural dynamic-model updating and joint identification, Mechanical Systems and Signal Processing, vol.9, issue.1, p.7, 1995.

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

J. A. Morgan, C. Pierre, and G. M. Hulbert, Calculation of component made synthesis matrices from measured frequency response functions, part 2: Application, Journal of Vibration and Acoustics-Transactions of the ASME, vol.120, issue.2, 1998.

W. Liu and D. J. Ewins, Substructure synthesis via elastic media Part I: Joint identification, 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), pp.1153-1159, 2000.

M. S. Allen, R. L. Mayes, and E. J. 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, 2010.
DOI : 10.1016/j.jsv.2010.06.007

M. S. Allen, H. M. Gindlin, and R. L. 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, 2011.
DOI : 10.1016/j.jsv.2011.04.010

S. Saigal, K. , and J. H. , Design sensitivity analysis of boundary-element substructures, AIAA Journal, vol.28, issue.7, 1990.
DOI : 10.2514/3.25205

G. Hou, V. Maroju, Y. , and R. J. , Component mode synthesis-based design optimization method for local structural modification, Structural Optimization, vol.8, issue.2, pp.128136-128146, 1995.
DOI : 10.1007/BF01743541

J. Tu, H. Yang, P. Lin, C. , and P. C. , 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.507522-507532, 2013.
DOI : 10.1002/stc.1554

M. Sunar and S. S. Rao, Optimal structural control by substructure synthesis, AIAA Journal, vol.38, issue.11, 2000.
DOI : 10.2514/3.14667

G. Masson, B. A. Brik, S. Cogan, and N. Bouhaddi, Component mode synthesis (CMS) based on an enriched ritz approach for efficient structural optimization, Journal of Sound and Vibration, vol.296, issue.4-5, 2006.
DOI : 10.1016/j.jsv.2006.03.024
URL : https://hal.archives-ouvertes.fr/hal-00177567

C. N. Lim, S. A. Neild, D. P. Stoten, D. Drury, T. et al., Adaptive Control Strategy for Dynamic Substructuring Tests, Journal of Engineering Mechanics, vol.133, issue.8, pp.8640733-93998, 2007.
DOI : 10.1061/(ASCE)0733-9399(2007)133:8(864)

D. Amsallem and C. Farhat, An online method for interpolationg linear parametric reduced-order models, SIAM Journal on Scientific Computing, vol.33, issue.5, pp.21692198-21692208, 2011.

D. A. Perdahcioglu, H. J. Geijselaers, M. H. Ellenbroek, and A. De-boer, Dynamic substructuring and reanalysis methods in a surrogate-based design optimization environment, Structural and Multidisciplinary Optimization, vol.45138, issue.1, pp.129-139, 2012.

S. N. Voormeeren and D. J. And-rixen, Updating component reduction bases of static and vibration modes using preconditioned iterative techniques, Computer Methods in Applied Mechanics and Engineering, vol.253, 2013.
DOI : 10.1016/j.cma.2012.10.007

H. J. Morand and R. Ohayon, Substructure variational analysis for the vibrations of coupled, International Journal for Numerical Methods in Engineering, vol.14, issue.5, 1979.

K. J. Bathe and E. L. Wilson, Numerical Methods in Finite Element Analysis, 1976.

L. Meirovitch, Computational Methods in Structural Dynamics, Sijthoff and Noordhoff, The Netherlands, 1980.

J. Sanchez-hubert and E. Sanchez-palencia, Vibration and Coupling of Continuous Systems, Asymptotic Methods, 1989.

L. Meirovitch, Dynamics and Control of Structures, 1990.

R. Dautray and J. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, 1992.

M. Geradin and D. Rixen, Mechanical Vibrations, 1997.

O. C. Zienkiewicz, T. , and R. L. , The Finite Element Method For Solid And Structural Mechanics, 2005.

Y. Saad, Numerical Methods for Large Eigenvalue Problems, Society for Industrial and Applied Mathematics (SIAM), 2011.
DOI : 10.1137/1.9781611970739

C. Soize, Stochastic Models of Uncertainties in Computational Mechanics
DOI : 10.1061/9780784412237
URL : https://hal.archives-ouvertes.fr/hal-00749201

R. Ohayon and C. Soize, Advanced Computational Vibroacoustics
DOI : 10.1017/CBO9781107785328
URL : https://hal.archives-ouvertes.fr/hal-01162161

R. Ohayon and C. Soize, Variational-Based Reduced-Order Model in Dynamic Substructuring of Coupled Structures Through a Dissipative Physical Interface: Recent Advances, Archives of Computational Methods in Engineering, vol.49, issue.3, pp.10-1007, 2014.
DOI : 10.1007/s11831-014-9107-y
URL : https://hal.archives-ouvertes.fr/hal-00940080

D. R. Bland, The Theory of Linear Viscoelasticity, 1960.