The objective of this book is to study new methods for inverse reliability analysis and robust design optimization using the univariate dimension reduction method (DRM). The current research effort involves: (1) reliability-based robust design optimization (RBRDO) method using the mean-based DRM; (2) reliability-based design optimization (RBDO) method using the inverse reliability analysis and the most probable point (MPP)-based DRM; (3) design sensitivity analyses for RBDO using the MPP-based DRM; and (4) system inverse reliability analysis and RBDO using the MPP-based DRM and Ditlevsen's second order upper bound. For robust design optimization (RDO), the mean-based DRM improves the accuracy of estimation of statistical moments which are used as a cost function of RDO. For component and system RBDO, the MPP-based DRM improves the accuracy and efficiency of estimation of probability of failure.

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