A sequential approximate programming strategy for reliability-based structural optimization

By Gengdong Cheng, Lin Xu, Lei Jiang. 2006

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Component and system reliability-based topology optimization using a single-loop method (2010, methodology): “The sensitivities of β j are obtained from Cheng et al. (2006)”
A survey on approaches for reliability-based optimization (2010, methodology): “…with the design point identification problem (Agarwal and Renaud, 2006), application of Sequential Linear Programming and identification of active constraints (Chan et al, 2006, 2007), application of recursion formulas for estimating the design point and its sensitivity (Cheng et al, 2006), etc.”
Structural reliability analysis using a copula-function-based evidence theory model (2014, methodology): “00002 [1,2] [5,6] [8,10] 0 [1,2] [5,6] [10,12] 0”
A Hybrid Reliability Approach Based on Probability and Interval for Uncertain Structures (2012, methodology): “Many reliability analysis methods based on probability model have been well developed, which include the first order reliability method (FORM) [1,2], the second order reliability method [3,4], the system reliability analysis [5–8], the reliability-based design optimization (RBDO) [9–14], etc.”
Reliability-based structural optimization with probability and convex set hybrid models (2010, methodology): “In a sequential optimization strategy (Royset et al. 2001; Du and Chen 2004; Cheng et al. 2006), the innerloop and the outer-loop are treated sequentially and thus the optimum design is obtained by solving a sequence of sub-programming problems.”