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Reliability analysis of tunnels using an adaptive RBF and a first-order reliability method
Computers and Geotechnics, 2018Abstract A new reliability analysis method for tunnels was developed by integrating an adaptive Radial Basis Function (RBF) metamodeling technique with a First-Order Reliability Method (FORM). In each iteration of the adaptive RBF (A-RBF) technique, an explicit metamodel of the performance function was constructed using an augmented RBF, before an ...
Qian Wang, Hongbing Fang
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Seismic Reliability of Long-Span Bridges Based on the First Order Reliability Method
Advanced Materials Research, 2010 In this paper, first order reliability method (FORM) is generalized to the seismic reliability analysis of long-span bridges and the first excursion probability of a single tower cable-stayed bridge is studied. The seismic motivation is firstly dispersed as a series of random variables.
Bu Yu Jia +4 more
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An accuracy analysis method for first-order reliability method
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2018The first-order reliability method is widely used for structural reliability analysis; however, its accuracy would become worse for nonlinear problems. This paper proposes the accuracy analysis method of the first-order reliability method, which considers the worst cases when using the first-order reliability method and gives the possible value range ...
Zhenzhong Chen +6 more
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International Journal of Structural Stability and Dynamics, 2020
The stochastic pseudo excitation method (SPEM), which is based on the principle of pseudo excitation method (PEM), is introduced to represent the randomness of dynamic input in which the amplitude of excitation is adopted as a random variable. Based on the mathematic definition of power spectral density, a physical interpolation of the SPEM is ...
Zhu, Siyu, Xiang, Tianyu
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The stochastic pseudo excitation method (SPEM), which is based on the principle of pseudo excitation method (PEM), is introduced to represent the randomness of dynamic input in which the amplitude of excitation is adopted as a random variable. Based on the mathematic definition of power spectral density, a physical interpolation of the SPEM is ...
Zhu, Siyu, Xiang, Tianyu
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On the first-order third-moment reliability method
Structure and Infrastructure Engineering, 2011In this article, the reliability evaluation with inclusion of random variable with unknown probability distribution will be discussed, in which the only information of the first three moments of the random variable will be used instead of probability distribution. The second-order polynomial normal transformation technique using the first three central
Yan-Gang Zhao, Alfredo H-S. Ang
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Slope Reliability Analysis Using the First-Order Reliability Method
2012This chapter pertains to a study on the reliability evaluation of earth slopes under a probabilistic framework. This study is concerned in the first phase with the determination of reliability index and the corresponding probability of failure associated with a given slip surface and then in the second phase with the determination of the critical ...
Subhadeep Metya, Gautam Bhattacharya
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First-order third-moment reliability method
Structural Safety, 1994Abstract The Hasofer-Lind reliability index method can be directly applied also to cases where asymmetrically distributed random variables enter calculation models. The FOTM method proposed is based on the Hasofer-Lind index and on the third moment of the transformed reliability margin.
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A first order reliability method for series systems
Structural Safety, 2000Abstract The typical failure mode of a series system with many identical elements is not the same as the typical failure mode of one element of the series system considered alone. This means that using the design point found when studying one element, to calculate the probability of failure of a series system, can lead to strongly biased results.
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First-Order and Second-Order Reliability Methods
1995The need to incorporate uncertainties in an engineering design has long been recognized. The absolute safety of a structure cannot be guaranteed, because of the unpredictability of future loading conditions; the inability to obtain and express the in-place material properties accurately; the use of simplified assumptions in predicting the behavior of ...
Achintya Haldar, Sankaran Mahadevan
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An effective first order reliability method based on Barzilai–Borwein step
Applied Mathematical Modelling, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Zhao, YangYang Chen, Jike Liu
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