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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) reliabilitybased robust design optimization (RBRDO) method using the meanbased DRM; (2) reliabilitybased 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 MPPbased DRM; and (4) system inverse reliability analysis and RBDO using the MPPbased DRM and Ditlevsen's second order upper bound. For robust design optimization (RDO), the meanbased DRM improves the accuracy of estimation of statistical moments which are used as a cost function of RDO. For component and system RBDO, the MPPbased DRM improves the accuracy and efficiency of estimation of probability of failure.
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