Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems

By Ikjin Lee, Kyung K. Choi, Liu Du, David J. Gorsich. 2008

220 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e787aa8643584fd1cf320f7da77ec2566a6f5130

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In Computational Theory and Mathematics

In Mechanics of Materials

In Statistics and Probability

Citations in the corpus

Second‐order reliability method‐based inverse reliability analysis using Hessian update for accurate and efficient reliability‐based design optimization (2014, methodology): “Engng 2014; 100:773–792 DOI: 10.1002/nme are based on PMA.”
Reliability-based design optimization with confidence level under input model uncertainty due to limited test data (2011, methodology): “Thus, the MPP-based dimension reduction method (DRM), which achieves both the efficiency of the FORM and the accuracy of the SORM, is used in this paper (Lee et al. 2008; Noh et al. 2009).”
A survey on approaches for reliability-based optimization (2010, methodology): “Another example is the approach developed in Lee et al. (2008), where the DRM is applied within the context of inverse reliability analysis (as in iFORM) for solving RBO problems.”
Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems with Correlated Random Variables (2011, methodology): “More detailed discussion on the sampling-based RBDO, which includes higher dimensional engineering applications such as M1A1 Abrams tank roadarm [15], needs to be carried out and is ongoing.”
System reliability-based design optimization using the MPP-based dimension reduction method (2010, unknown): “The probability of failure using the MPP-based DRM is calculated as (Lee et al. 2008) PDRMF = N−1∏ i=1 ∫∞ −∞ ( −β + G̃si (vi )b1 ) φ (vi ) dvi (−β)N−2 (7) where G̃si (vi ) ≡ G̃s(0, · · · , 0, vi , 0, · · · , β) is a function of vi only and b1 = ‖∇U g(u∗)‖ = ‖∇UG(x(u∗))‖ where ∇U = { ∂ ∂ui } .”