2016
DOI: 10.1007/978-3-662-49370-0_5
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Time-Dependent Reliability Sensitivity Analysis for Performance Degradation Mechanism

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Cited by 2 publications
(5 citation statements)
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“…According to the Taylor expansion of the vector-valued and the matrix-valued functions, g p (X) can only be expanded to the first-order approximation at a point 𝐸(𝐗) = 𝐗 = 𝐸(𝐗 𝑑 ) since the random part is much less than the deterministic part. See Equation (7):…”
Section: Gradient Reliability Analysis Methodsmentioning
confidence: 99%
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“…According to the Taylor expansion of the vector-valued and the matrix-valued functions, g p (X) can only be expanded to the first-order approximation at a point 𝐸(𝐗) = 𝐗 = 𝐸(𝐗 𝑑 ) since the random part is much less than the deterministic part. See Equation (7):…”
Section: Gradient Reliability Analysis Methodsmentioning
confidence: 99%
“…Defining matrix derivative as πœ•(𝐴) π‘Γ—π‘ž βˆ•πœ•(𝐴) 𝑠×𝑑 = (πœ•π΄βˆ•πœ•π‘ 𝑖𝑗 ) π‘π‘ Γ—π‘žπ‘‘ And substituting Equation (7) into Equation (6), we obtain…”
Section: Gradient Reliability Analysis Methodsmentioning
confidence: 99%
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“…Wei et al 32 further studied the sensitivity analysis of the timedependent problem based on the Karhunen-Loe`ve expansion. Du et al 33 only used polynomial chaos expansions to study the local sensitivity analysis of time-dependent problems, and he did not study its global sensitivity analysis. It is worth noting that in some researches, 34,35 TD-LRS analysis is conducted at each time instant rather than the entire time interval, which is essentially a time-independent LRS analysis.…”
Section: Introductionmentioning
confidence: 99%