New Approximations for Reliability Integrals

By D. Polidori, James L. Beck, Costas Papadimitriou. 2001

51 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/a7528c599a2a52e6a582331f3cf423bd70466d2d

How researchers see this paper

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

In Computational Theory and Mathematics

1. Xu Han
2. Q. F. Zhang
3. Y. Qian
4. Chao Jiang
5. Jie Liu
6. Sondipon Adhikari
7. B. Wang
8. L. X. Liu

In Mechanics of Materials

1. Chao Jiang
2. Xu Han
3. Jie Liu
4. Sondipon Adhikari
5. Q. F. Zhang
6. B. Wang
7. Y. Qian
8. Wangxi Zhang

In Statistics and Probability

1. Chao Jiang
2. Xu Han
3. Q. F. Zhang
4. Y. Qian
5. Jie Liu
6. L. X. Liu
7. B. Wang
8. Wangxi Zhang

Citations in the corpus

• Structural reliability analysis based on random distributions with interval parameters (2011, methodology): “In this field, many analysis techniques have been well established, which include the first order reliability method (FORM) [1–3], second order reliability method (SORM) [4–6], system reliability [7,8], Monte-Carlo simulation [9,10], etc.”
• Reliability Analysis Using Parabolic Failure Surface Approximation (2004, methodology): “Some authors, for example KoyluoAlu and Nielsen (1994), Zhao and Ono (1999a), Polidori et al. (1999) have considered the cases when A is negative definite or more generally positive semidefinite.”
• A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model (2014, methodology): “A series of mature methods have been developed so far, such as the first-order reliability method (FORM) [1–3], the second-order reliability method (SORM) [4–6], and the system reliability method [7,8].”
• Structural reliability analysis using a copula-function-based evidence theory model (2014, methodology): “00002 [1,2] [5,6] [8,10] 0 [1,2] [5,6] [10,12] 0”
• A Hybrid Reliability Approach Based on Probability and Interval for Uncertain Structures (2012, methodology): “Many reliability analysis methods based on probability model have been well developed, which include the first order reliability method (FORM) [1,2], the second order reliability method [3,4], the system reliability analysis [5–8], the reliability-based design optimization (RBDO) [9–14], etc.”