Journal
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
Volume 58, Issue 3, Pages 1051-1065Publisher
SPRINGER
DOI: 10.1007/s00158-018-1951-1
Keywords
Time-variant reliability analysis; Design optimization; Stochastic processes; Simulation-based; Kriging surrogate model
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This paper presents a sequential Kriging modeling approach (SKM) for time-variant reliability-based design optimization (tRBDO) involving stochastic processes. To handle the temporal uncertainty, time-variant limit state functions are transformed into time-independent domain by converting the stochastic processes and time parameter to random variables. Kriging surrogate models are then built and enhanced by a design-driven adaptive sampling scheme to accurately identify potential instantaneous failure events. By generating random realizations of stochastic processes, the time-variant probability of failure is evaluated by the surrogate models in Monte Carlo simulation (MCS). In tRBDO, the first-order score function is employed to estimate the sensitivity of time-variant reliability with respect to design variables. Three case studies are introduced to demonstrate the efficiency and accuracy of the proposed approach.
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