Jezequel, L., 1984, “Modal Synthesis of Large Structures With Nonlinear Joints From Vibration Tests,” "*Proceedings of the 2nd International Conference on Recent Advances in Structural Dynamics*", University of Southampton (England) on 9–13 April, pp. 281–295.

Nobari, A., Robb, D., and Ewins, D., 1995, “A New Approach to Modal-Based Structural Dynamic Model Updating and Joint Identification,” Mech. Syst. Signal Process.

[CrossRef], 9 (1), pp. 85–100.

Ren, Y., and Beards, C. F., 1995, “Identification of Joint Properties of a Structure Using FRF Data,” J. Sound Vib.

[CrossRef], 186 , pp. 567–587.

Mottershead, J. E., Friswell, M. I., Ng, G. H. T., and Brandon, J. A., 1996, “Geometric Parameters for Finite Element Model Updating of Joints and Constraints,” Mech. Syst. Signal Process.

[CrossRef], 10 , pp. 171–182.

Shamine, D. M., Hong, S. W., and Shin, Y. C., 2000, “An In Situ Modal-Based Method for Structural Dynamic Joint Parameter Identification,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.

[CrossRef], 214 , pp. 641–653.

Sastry, S., 1999, "*Nonlinear Systems: Analysis, Stability, and Control*", Springer, Berlin, Germany.

Bowden, M., and Dugundjit, J., 1988, “Effects of Joint Damping and Joint Nonlinearity on the Dynamics of Space Structures,” "*Proceedings of the Structures Dynamics and Materials Conference*", Williamsbury, VA, April, Paper No. AIAA 2480 in 88.

Bowden, M., and Dugundjit, J., 1990, “Joint Damping and Nonlinearity in Dynamics of Space Structures,” AIAA J., 28 (4), pp. 740–749.

Tanrikulu, O., Kuran, B., Ozguven, H. N., and Imregun, M., 1993, “Forced Harmonic Response Analysis of Nonlinear Structures Using Describing Functions,” AIAA J., 31 (7), pp. 1313–1320.

Nayfeh, A. H., and Mook, D. T., 1995, "*Nonlinear Oscillations*", Wiley, New York.

Özer, M. B., and Özgüven, H. N., 2002, “A New Method for Localization and Identification of Non-Linearities in Structures,” "*Proceedings of ESDA 2002: 6th Biennial Conference on Engineering Systems Design and Analysis*", ASME, Istanbul, Turkey, July 8–11, ASME.

Özer, M. B., Özgüven, H. N., and Royston, T. J., 2005, “Identification of Structural Non-Linearities Using Describing Functions and Sherman-Morrison Method,” "*Proceedings of the 23rd International Modal Analysis Conference*", Orlando, FL, January 30–February 3, Society for Experimental Mechanics, pp. 199–212.

Siller, H. R. E., 2004, “Non-Linear Model Analysis Methods for Engineering Structures,” Ph.D. thesis, Imperial College, London, UK.

Segalman, D. J., 2005, “A Four-Parameter Iwan Model for Lap-Type Joints,” ASME J. Appl. Mech.

[CrossRef], 72 (5), pp. 752–760.

Farhat, C., Pierson, K., and Lesoinne, M., 2000, “The Second Generation FETI Methods and Their Application to the Parallel Solution of Large-Scale Linear and Geometrically Non-Linear Structural Analysis Problems,” Comput. Fluids, 184 , pp. 333–374.

Sun, J., Michaleris, P., Gupta, A., and Raghavan, P., 2005, “A Fast Implementation of the FETI-DP Method: FETI-DP-RBS-LNA and Applications on Large Scale Problems With Localized Non-Linearities,” Int. J. Numer. Methods Eng.

[CrossRef], 63 , pp. 833–858.

Reese, G. M., Bhardwaj, M. K., Segalman, D. J., Alvin, K. F., and Driessen, B. J., 1999, “Salinas User’s Notes,” Tech. Report No. SAND99-2801, Sandia National Laboratories, Albuquerque, NM.

Bhardwaj, M., Day, D., Farhat, C., Lesoinne, M., Pierson, K., and Rixen, D., 2000, “Application of the FETI Method to ASCI Problems-Scalability Results on 1000 Processors and Discussion of Highly Heterogeneous Problems,” Int. J. Numer. Methods Eng.

[CrossRef], 47 (1), pp. 513–535.

Bernardi, C., Maday, Y., and Patera, A. T., 1994, “A New Nonconforming Approach to Domain Decomposition: The Mortar Element Method,” "*Collège de France Seminar*", H.Brezis and J.-L.Lions, eds., Longman Sci. Tech., Harlow, pp. 13–51.

Royston, T. J., and Singh, R., 1996, “Periodic Response of Mechanical Systems With Local Non-Linearities Using an Enhanced Galerkin Technique,” J. Sound Vib.

[CrossRef], 194 , pp. 243–263.

Qu, Z. Q., 2002, “Model Reduction for Dynamical Systems With Local Nonlinearities,” AIAA J., 40 , pp. 327–333.

Hagedorn, P., and Schramm, W., 1988, “On the Dynamics of Large Systems With Localized Nonlinearities,” Trans. ASME, J. Appl. Mech., 55 , pp. 946–951.

Gordis, J. H., and Radwick, J., 1999, “Efficient Transient Analysis for Large Locally Nonlinear Structures,” Shock Vib., 6 , pp. 1–9.

Whiteman, W. W., and Ferri, A. A., 1997, “Multi-Mode Analysis of Beam-Like Structures Subjected to Displacement-Dependent Dry Friction Damping,” J. Sound Vib.

[CrossRef], 207 , pp. 403–418.

Fey, R. H. B., vanCampen, D. H., and deKraker, A., 1996, “Long Term Structural Dynamics of Mechanical Systems With Local Nonlinearities,” Trans. ASME, J. Vib. Acoust., 118 , pp. 147–153.

Simmermacher, T., Paez, T., Urbina, A., Bitsie, F., Gregory, D., Resor, B., and Segalman, D. J., 2004, “Probabilistic Modeling of Localized Nonlinearities Using Component Mode Synthesis,” "*Proceedings of the 22nd International Modal Analysis Conference (IMAC-XXII)*", Dearborn, MI, January 26–29.

Seshu, P., 1997, “Substructuring and Component Mode Synthesis,” Shock Vib., 4 , pp. 199–210.

Zheng, T., and N. Hasebe, N., 2000, “Nonlinear Dynamic Behaviors of a Complex Rotor-Bearing System,” Trans. ASME, J. Appl. Mech.

[CrossRef], 67 , pp. 485–495.

Kerschen, G., Golinval, J. C., Vakakis, A. F., and Bergman, L. A., 2005, “The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview,” Nonlinear Dyn.

[CrossRef], 41 (1–3), pp. 147–169.

Chu, C., and Milman, M. H., 1992, “Eigenvalue Error Analysis of Viscously Damped Structures Using a Ritz Reduction Method,” AIAA J., 30 , pp. 2935–2944.

Milman, M. H., and Chu, C. C., 1994, “Optimization Methods for Passive Damper Placement and Tuning,” J. Guid. Control Dyn., 17 (4), pp. 848–56.

Segalman, D. J., 2006, “Model Reduction of Systems With Localized Nonlinearities,” Tech. Report No. SAND2006-1789, Sandia National Laboratories, Albuquerque, NM.

Segalman, D. J., 2005, “Modelling Joint Friction in Structural Dynamics,” Struct. Health Monit., 13 (1), pp. 430–453.

Masing, G., 1926, “Eigenspannungen und Verfestigung Beim Messing (Self-Stretching and Hardening for Brass),” "*Proceedings 2nd International Congress on Applied Mechanics*", Zurich, Switzerland, 12–17 September, pp. 332–335.

Prandtl, L., 1928, “Ein Gedankenmodell zur Kinetischen Theorie der Festen Körper,” Z. Angew. Math. Mech., 8 , pp. 85–106.

Ishlinskii, A. Y., 1944, “Some Applications of Statistical Methods to Describing Deformations of Bodies,” "*Izvestiya Akademii Nauk SSSR*", Izvestija, Academy of Sciences, USSR, 9 , pp. 580–590.

Iwan, W. D., 1966, “Distributed-Element Model for Hysteresis and its Steady-State Dynamic Response,” ASME J. Appl. Mech., 33 (4), pp. 893–900.

Iwan, W. D., 1967, “On a Class of Models for Yielding Behavior of Continuous and Composite Systems,” ASME J. Appl. Mech., 34 (3), pp. 612–617.

Lubarda, V. A., Sumarac, D., and Krajcinovic, D., 1993, “Preisach Model and Hysteretic Behaviour of Ductile Materials,” Eur. J. Mech. A/Solids, 12 , pp. 445–470.

Preisach, F., 1935, “Über Die Magnetische Nachwirkung,” Z. Phys.

[CrossRef], 94 (5–6), pp. 277–302.

Segalman, D. J., 2002, “A Four-Parameter Iwan Model for Lap-Type Joints,” Tech. Report No. SAND2002-3828, Sandia National Laboratories, Sandia, NM.

Craig, R., 1981, "*Structural Dynamics: An Introduction to Computer Methods*", Wiley, New York.

Qu, Z.-Q., 2004, "*Model Order Reduction Techniques with Applications in Finite Element Analysis*", Graduate Texts in Mathematics , Springer, London, UK.