Unified Uncertainty Analysis by the First Order Reliability Method

By Xiaoping Du. 2008

245 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Theory and Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/24bc2052c1aa43320cd7d43882ca2fc77c36a240

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. M. Tooren
2. Zhen Hu
3. Wen Yao
4. Liang Gao
5. J. Hurtado
6. Zhen Luo
7. Hongzhong Huang
8. Sankaran Mahadevan

In Computational Theory and Mathematics

1. Zhen Hu
2. Wen Yao
3. Liang Gao
4. J. Hurtado
5. Zhen Luo
6. Hongzhong Huang
7. Sankaran Mahadevan
8. Zafer Gürdal

In Statistics and Probability

1. Zhen Hu
2. Sankaran Mahadevan
3. Diego A. Alvarez
4. J. Hurtado
5. Felipe Uribe
6. Wen Yao
7. Liang Gao
8. Zhen Luo

Citations in the corpus

• A sequential surrogate method for reliability analysis based on radial basis function (2017, methodology): “The second-order reliability method (SORM) [7, 12-13] is similar to the FORM.”
• Unified uncertainty analysis by the mean value first order saddlepoint approximation (2012, methodology): “In Huang and Du (2008), they showed that the MVFOSPA is useful due to its high efficiency and accuracy.”
• An efficient method for reliability analysis under epistemic uncertainty based on evidence theory and support vector regression (2015, methodology): “Based on the MPP, various approximation methods were developed for reliability analysis, such as the first-order reliability method (Hohenbichler et al. 1987; Du 2008) and the second-order reliability method (Hohenbichler et al. 1987; Zhang and Du 2010).”
• An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs (2014, methodology): “Also comparisons have been made between probabilistic and the alternative methods [34–36] or their combination has been explored [37–40].”
• Estimation of the lower and upper bounds on the probability of failure using subset simulation and random set theory (2018, methodology): “Du (2008) developed a methodology, termed the unified uncertainty analysis method for reliability assessment of structural and mechanical systems.”
• Sequential Optimization and Mixed Uncertainty Analysis Method for Reliability-Based Optimization (2013, methodology): “Furthermore, in Du’s research on the unified uncertainty analysis (UUA) method [15], it is shown to be more efficient to apply a combined probability and evidence theory to treat the aleatory and epistemic uncertainties separately.”
• Reliability sensitivity analysis for structural systems in interval probability form (2011, methodology): “Transform the random vector X = (X1,X2, · · ·,Xn) in X - space into standard normal vector U = (U1,U2, · · ·,Un) in U -space by Rosenblatt transformation (Ditlevsen and Madsen 2007; Melchers 1999) Ui = −1 [ FXi (Xi ) ] (7) where −1[·] is the inverse CDF of the standard normal distribution, and FXi…”
• Uncertainty quantification and management in additive manufacturing: current status, needs, and opportunities (2017, methodology): “The data uncertainty in the aleatory variables can also be modeled using evidence theory [96], likelihood-based method [97], and interval variables [98] depending on the degree of uncertainty in the collected data.”