2015
DOI: 10.1016/j.cma.2015.08.007
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Reliability sensitivity analysis of stochastic finite element models

Abstract: This contribution presents a scheme for integrating a model reduction technique into a simulation-based method for reliability sensitivity analysis of a class of medium/large nonlinear finite element models under stochastic excitation. The solution of this type of problems requires a large number of finite element model re-analyses to be performed over the space of system parameters. A component mode synthesis technique is implemented to carry out the sensitivity analysis in a reduced space of generalized coor… Show more

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Cited by 39 publications
(11 citation statements)
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“…Reliability Sensitivity Analysis. Reliability sensitivity reflects the influence of the change in stochastic variables on system reliability, providing guidance for structural optimization design [25,26]. The weighted stochastic response surface method introduced in Section 2.1 can be used to obtain an explicit performance function, and the Monte Carlo method can then be adopted to provide a reliability sensitivity analysis without requiring the use of the Fluent software package, significantly simplifying the computation process.…”
Section: Weighted Stochastic Response Surfacementioning
confidence: 99%
“…Reliability Sensitivity Analysis. Reliability sensitivity reflects the influence of the change in stochastic variables on system reliability, providing guidance for structural optimization design [25,26]. The weighted stochastic response surface method introduced in Section 2.1 can be used to obtain an explicit performance function, and the Monte Carlo method can then be adopted to provide a reliability sensitivity analysis without requiring the use of the Fluent software package, significantly simplifying the computation process.…”
Section: Weighted Stochastic Response Surfacementioning
confidence: 99%
“…According to the definition of non-probabilistic reliability index and equation (10), the approximate analytic solution of nonlinear limit state equation is shown as follows…”
Section: Reliability Sensitivity Analysis Of Linear Functionmentioning
confidence: 99%
“…In many cases, however, the function of failure is not explicit. For realistic structures, the response is calculated by using a numerical procedure such as finite element analysis (FEA) (Jensen et al 2015). In this case, the derivatives are not readily available, and each evaluation of the function of implicit failure requires a significant computation time.…”
Section: Reliability Methods and Finite Element Analysismentioning
confidence: 99%