Global sensitivity analysis of riveting parameters based on a random sampling-high dimensional model representation

Yin, Jian; Gu, Jinyu; Chen, Yongdang; Zhang, Feng

doi:10.1007/s00170-021-06593-7

Cited by 4 publications

(1 citation statement)

References 30 publications

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“…The Sobol SA of model output [14,15] is very popular and has been applied in many engineering studies; see, e.g., [57][58][59][60][61][62][63]. The basic concept can be introduced as follows.…”

Section: Sobol Sensitivity Analysismentioning

confidence: 99%

New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability

Kala

2021

Mathematics

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This article presents new sensitivity measures in reliability-oriented global sensitivity analysis. The obtained results show that the contrast and the newly proposed sensitivity measures (entropy and two others) effectively describe the influence of input random variables on the probability of failure Pf. The contrast sensitivity measure builds on Sobol, using the variance of the binary outcome as either a success (0) or a failure (1). In Bernoulli distribution, variance Pf(1-Pf) and discrete entropy—Pfln(Pf)-(1-Pf)ln(1-Pf) are similar to dome functions. By replacing the variance with discrete entropy, a new alternative sensitivity measure is obtained, and then two additional new alternative measures are derived. It is shown that the desired property of all the measures is a dome shape; the rise is not important. Although the decomposition of sensitivity indices with alternative measures is not proven, the case studies suggest a rationale structure of all the indices in the sensitivity analysis of small Pf. The sensitivity ranking of input variables based on the total indices is approximately the same, but the proportions of the first-order and the higher-order indices are very different. Discrete entropy gives significantly higher proportions of first-order sensitivity indices than the other sensitivity measures, presenting entropy as an interesting new sensitivity measure of engineering reliability.

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Section: Sobol Sensitivity Analysismentioning

confidence: 99%

New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability

Kala

2021

Mathematics

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Surfactant-facilitated metabolic induction enhances lipase production from an optimally formulated waste-derived substrate mix using Aspergillus niger: A case of machine learning modeling and metaheuristic optimization

Amenaghawon,

Eshiemogie,

Evbarunegbe

et al. 2024

Bioresource Technology Reports

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Global Reliability Sensitivity of the Structure Under Fuzzy Uncertainty and Its Estimations

Chen

Lü

2023

AIAA Journal

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Global reliability sensitivity (GRS) index under fuzzy uncertainty is defined as the mean of the absolute difference between unconditional failure credibility and conditional failure credibility, which is important to quantify the effect of fuzzy inputs on failure credibility of the structure. The solution of this index requires nested analysis of conditional failure credibility and fuzzy mean, which introduces a large amount of computation. To efficiently estimate the GRS under fuzzy uncertainty, a method combining fuzzy simulation (FS) with fuzzy first-order and second moment (FS–FFOSM) method as well as a fuzzy sequential optimization and reliability assessment (FSORA) method are proposed. Compared with the direct double-loop FS method, in which both the conditional failure credibility and the fuzzy mean are estimated by FS, the proposed FS–FFOSM uses a more efficient FFOSM method to estimate the conditional failure credibility in the inner loop, which improves the computational efficiency of estimating GRS under fuzzy uncertainty. To further improve the computational efficiency, this paper also transforms the estimation of GRS into the solution of the optimization model under the constraint of failure credibility and establishes the FSORA method to solve the optimization model. The FSORA method uses a series of cycles of deterministic optimization and inverse design point analysis corresponding to the required fuzzy reliability index by GRS to reduce the iterations, and then the computational efficiency is further improved. Several examples illustrate the computational efficiency and accuracy of the proposed methods.

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Global sensitivity analysis of riveting parameters based on a random sampling-high dimensional model representation

Cited by 4 publications

References 30 publications

New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability

New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability

Surfactant-facilitated metabolic induction enhances lipase production from an optimally formulated waste-derived substrate mix using Aspergillus niger: A case of machine learning modeling and metaheuristic optimization

Global Reliability Sensitivity of the Structure Under Fuzzy Uncertainty and Its Estimations

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