Madsen, H. O., Krenk, S., and Lind, N. C., 1986, "*Methods of Structural Safety*", Prentice-Hall, Englewood Cliffs, NJ.

Melchers, R. E., 2001, "*Structural Reliability Analysis and Prediction*", Wiley, New York.

Moses, F., 1995, “Probabilistic Analysis of Structural Systems,” "*Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications*", C.Raj Sundararajan, ed., Chapman and Hall, London, pp. 166–187.

Frangopol, D. M., 1995, “Reliability-Based Optimum Structural Design,” "*Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications*", C.Raj Sundararajan, ed., Chapman and Hall, London, pp. 352–387.

Liang, J., Mourelatos, Z. P., and Nikolaidis, E., 2007, “A Single-Loop Approach for System Reliability-Based Design Optimization,” ASME J. Mech. Des.

[CrossRef], 129 , pp. 1215–1224.

Ayyub, B., and Mccuen, R., 1995, “Simulation-Based Reliability Methods,” "*Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications*", C.Raj Sundararajan, ed., Chapman and Hall, London, pp. 53–69.

Du, X., and Chen, W., 2004, “Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design,” ASME J. Mech. Des.

[CrossRef], 126 (2), pp. 225–233.

Haldar, A., and Mahadevan, S., 1995, “First and Second Order Reliability Methods,” "*Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications*", C.Raj Sundararajan, ed., Chapman and Hall, London, pp. 27–52.

Der Kiureghian, A., 2000, “The Geometry of Random Vibrations and Solutions by FORM and SORM,” Probab. Eng. Mech.

[CrossRef], 15 , pp. 81–91.

Wu, Y. T., Millwater, H. R., and Cruse, T. A., 1990, “Advanced Probabilistic Structural Analysis Method for Implicit Performance Functions,” AIAA J.

[CrossRef], 28 (9), pp. 1663–1669.

Rodriguez, J. F., Renaud, J. E., and Watson, L. T., 1998, “Trust Region Augmented Lagrangian Methods for Sequential Response Surface Approximation and Optimization,” ASME J. Mech. Des.

[CrossRef], 120 , pp. 58–66.

Gayton, N., Bourinet, J. M., and Lamaire, M., 2003, “CQ2RS: A New Statistical Approach to the Response Surface Method for Reliability Analysis,” Struct. Safety, 25 , pp. 99–121.

Papadrakakis, M., and Lagaros, N. D., 2002, “Reliability-Based Structural Optimization Using Neural Networks and MC Simulation,” Comput. Methods Appl. Mech. Eng.

[CrossRef], 191 , pp. 3491–3507.

Shan, S., and Wang, G. G., 2006, “Failure Surface Frontier for Reliability Assessment on Expensive Performance Function,” ASME J. Mech. Des.

[CrossRef], 128 , pp. 1227–1235.

Chandu, S. V. L., and Grandhi, R. V., 1995, “General Purpose Procedure for Reliability Based Structural Optimization Under Parametric Uncertainties,” Adv. Eng. Software

[CrossRef], 23 , pp. 7–14.

Grandhi, R. V., and Wang, L., 1998, “Reliability-Based Structural Optimization Using Improved Two Point Adaptive Nonlinear Approximations,” Finite Elem. Anal. Design

[CrossRef], 29 , pp. 35–48.

Qu, X., and Haftka, R. T., 2003, “A Reliability-Based Design Optimization Using Probabilistic Safety Factor,” AIAA Paper No. 2003–1657.

Ridgeway, G., and Madigan, D., 2003, “A Sequential MC Method for Bayesian Analysis of Massive Datasets,” Data Min. Knowl. Discov., 7 , pp. 301–319.

Balakrishnan, S., and Madigan, D., 2006, “A One-Pass Sequential MC Method for Bayesian Analysis of Massive Datasets,” J. Bayesian Anal., 1 (2), pp. 345–362.

Fonseca, J. R., 2007, “Efficient Robust Design Via MC Simulation Sample Reweighting,” Int. J. Numer. Methods Eng., 69 , pp. 2279–2301.

Abu Kassim, A. M., and Topping, B. H. V., 1987, “Static Re-Analysis: A Review,” J. Struct. Eng.

[CrossRef], 113 , pp. 1029–1045.

Arora, J. S., 1976, “Survey of Structural Re-Analysis Techniques,” J. Struct. Eng., 102 , pp. 783–802.

Barthelemy, J. -F. M., and Haftka, R. T., 1993, “Approximation Concepts for Optimum Structural Design—A Review,” Struct. Optim.

[CrossRef], 5 , pp. 129–144.

Keane, A. J., and Nair, P. B., 2005, “Sensitivity Analysis and Approximation Concepts,” "*Computational Approaches for Aerospace Design, The Pursuit of Excellence*", Wiley, Chichester, England.

Balmes, E., 1996, “Optimal Ritz Vectors for Component Mode Synthesis Using the Singular Value Decomposition,” AIAA J., 34 (6), pp. 1256–1260.

Balmes, E., Ravary, F., and Langlais, D., 2004, “Uncertainty Propagation in Modal Analysis,” "*Proceedings of IMAC-XXII: A Conference and Exposition on Structural Dynamics*", Dearborn, MI, Jan.

Yasui, Y., 1998, “Direct Coupled Load Verification of Modified Structural Component,” AIAA J., 36 (1), pp. 94–101.

Liu, J. K., 1999, “A Universal Matrix Perturbation Technique for Structural Dynamic Modification Using Singular Value Decomposition,” J. Sound Vib., 228 (2), pp. 265–274.

Zhang, G., Castanier, M. P., and Pierre, C., 2005, “Integration of Component-Based and Parametric Reduced-Order Modeling Methods for Probabilistic Vibration Analysis and Design,” "*Proceedings of the Sixth European Conference on Structural Dynamics*", Paris, France, Sept.

Zhang, G., 2005, “Component-Based and Parametric Reduced-Order Modeling Methods for Vibration Analysis of Complex Structures,” Ph.D. thesis, University of Michigan, Ann Arbor, MI.

Kirsch, U., 2002, "*Design-Oriented Analysis of Structures*", Kluwer, Dordrecht.

Kirsch, U., 2003, “Design-Oriented Analysis of Structures—A Unified Approach,” J. Eng. Mech.

[CrossRef], 129 , pp. 264–272.

Kirsch, U., 2003, “A Unified Re-Analysis Approach for Structural Analysis, Design and Optimization,” Struct. Multidiscip. Optim., 25 , pp. 67–85.

Chen, S. H., and Yang, X. W., 2000, “Extended Kirsch Combined Method for Eigenvalue Re-Analysis,” AIAA J., 38 , pp. 927–930.

Kirsch, U., 2003, “Approximate Vibration Re-Analysis of Structures,” AIAA J., 41 , pp. 504–511.

Kirsch, U., and Bogomolni, M., 2004, “Procedures for Approximate Eigenproblem Re-Analysis of Structures,” Int. J. Numer. Methods Eng.

[CrossRef], 60 , pp. 1969–1986.

Kirsch, U., and Bogomolni, M., 2004, “Error Evaluation in Approximate Re-Analysis of Structures,” Struct. Optim., 28 , pp. 77–86.

Rong, F., Chen, S. M., and Chen, Y. D., 2003, “Structural Modal Re-Analysis for Topological Modifications With Extended Kirsch Method,” Comput. Methods Appl. Mech. Eng.

[CrossRef], 192 , pp. 697–707.

Chen, S. H., Yang, X. W., and Lian, H. D., 2000, “Comparison of Several Eigenvalue Re-Analysis Methods for Modified Structures,” Struct. Multidiscip. Optim., 20 , pp. 253–259.

Wang, G. G., and Shan, S., 2007, “Review of Metamodeling Techniques in Support of Engineering Design Optimization,” ASME J. Mech. Des.

[CrossRef], 129 (4), pp. 370–380.

Clough, R. W., and Penzien, J., 1993, "*Dynamics of Structures*", 2nd ed., McGraw-Hill, New York.

Lophaven, S. N., Nielsen, H. B., and Sondergaard, J., 2002, “DACE-A MATLAB Kriging Tool Box,” Technical Report No. IMM-TR-2002–12.

Sacks, J., Welch, W., Mitchell, T. J., and Wynn, H. P., 1989, “Design and Analysis of Computer Experiments,” Stat. Sci.

[CrossRef], 4 (4), pp. 409–435.

Ye, K. Q., Li, W., and Sudjianto, A., 2000, “Algorithmic Construction of Optimal Symmetric Latin Hypercube Designs,” J. Stat. Plan. Infer.

[CrossRef], 90 , pp. 145–159.