Efficient estimation of structural reliability for problems with uncertain intervals

“…In recent years, many research studies have been carried out on the HRA methods for structure [23][24][25][26]. The following numerical methods have been proposed: the function approximation technique [27], the probabilistic transformation technique [28][29][30], the iterative rescaling method [31], the probability bounds approach [32], the mixed perturbation Monte Carlo (MC) method [33], the optimization algorithm with single-layer nesting [34,35], two-layer nesting [36,37], and the complex nesting [22], among others [38][39][40]. Nevertheless, the HRA with FORM is still in its infancy, as there are some calculating problems in the practical applications.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Reliability Analysis for Spacecraft Docking Lock with Random and Interval Uncertainty

Zhang

Qiu

Wang

2017

International Journal of Aerospace Engineering

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This paper presents a novel procedure based on first-order reliability method (FORM) for structural reliability analysis with hybrid variables, that is, random and interval variables. This method can significantly improve the computational efficiency for the abovementioned hybrid reliability analysis (HRA), while generally providing sufficient precision. In the proposed procedure, the hybrid problem is reduced to standard reliability problem with the polar coordinates, where an n-dimensional limit-state function is defined only in terms of two random variables. Firstly, the linear Taylor series is used to approximate the limit-state function around the design point. Subsequently, with the approximation of the n-dimensional limit-state function, the new bidimensional limit state is established by the polar coordinate transformation. And the probability density functions (PDFs) of the two variables can be obtained by the PDFs of random variables and bounds of interval variables. Then, the interval of failure probability is efficiently calculated by the integral method. At last, one simple problem with explicit expressions and one engineering application of spacecraft docking lock are employed to demonstrate the effectiveness of the proposed methods.

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“…[3][4][5][6]). Among these approaches, the interval model, originally developed on the basis of the interval analysis [7], turns out to be very useful for handling non-deterministic properties described by range information only.…”

Section: Introductionmentioning

confidence: 99%

Reliability Assessment of Interval Uncertain Structural Systems Subjected to Spectrum Compatible Seismic Excitations

Muscolino¹,

Santoro²,

Sofi³

2015

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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Abstract. The present paper deals with reliability assessment of linear structures with uncertain parameters subjected to seismic excitations modeled as stationary spectrum compatible random Gaussian processes. Structural uncertainties are described by applying the interval model, stemming from the interval analysis. Under the Vanmarcke assumption that the upcrossings of a specified threshold occur in clumps, an efficient procedure for the evaluation of the bounds of the interval reliability function of the generic response process is presented. The key idea is to consider the interval reliability function as depending on the zero-, first-and second-order interval spectral moments of the stationary response rather than on the interval structural parameters. This allows to determine the bounds of the interval reliability function for a given barrier level as the minimum and maximum among the values pertaining to the eight combinations of the bounds of the interval spectral moments of the response. The effectiveness of the proposed approach lies in the evaluation of the bounds of the interval spectral moments of the response in approximate explicit form. To this aim, the so-called Interval Rational Series Expansion is applied in conjunction with the improved interval analysis.For validation purposes, numerical results concerning the region of the interval reliability function of a spatial structure with interval stiffness properties subjected to stationary spectrum compatible seismic excitation are presented.

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Efficient estimation of structural reliability for problems with uncertain intervals

Cited by 102 publications

References 7 publications

Reliability based analysis of the crosswind stability of railway vehicles

Reliability based analysis of the crosswind stability of railway vehicles

Hybrid Reliability Analysis for Spacecraft Docking Lock with Random and Interval Uncertainty

Reliability Assessment of Interval Uncertain Structural Systems Subjected to Spectrum Compatible Seismic Excitations

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