The Estimation of Reliability Probability of Structures based on Improved Iterative Response Surface Methods

Wei, Yanxu; Bai, Guang-Chen; Song, Lu-Kai; Bai, Baojun

doi:10.1007/s12205-019-2059-x

Cited by 6 publications

(7 citation statements)

References 32 publications

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“…The authors of this paper proposed a structural system reliability assessment method considering three kinds of system failure criteria based on Copula function calculation [48]. Equation ( 16) is adopted in this paper to improve the system reliability assessment method previously proposed based on the failure credibility, and the system reliability evaluation method considering member failure credibility under failure criterion I, II, and III is formed, which are respectively derived as Equations ( 17)- (19).…”

Section: System Reliability Evaluation Methods Considering Member Fai...mentioning

confidence: 99%

“…Hinged slab bridges are widely used in medium-and small-span bridges due to their simple structure and convenient construction, with one of the biggest defects being hinge joint damage, so it is of great significance to evaluate the status of hinged slab bridges under hinge joint damage [15][16][17][18]. As the material characteristics and external load have randomness, most commonly used probability-based assessment methods mainly include the first-order second-moment method (FOSM), Monte Carlo method (MC), and response surface method (RSM) [19]. The first-order second-moment method is based on the first-order function of the random variable in the structural function, and combines 2 of 16 the first-order moment and second-order moment probabilistic statistical parameters of the random variable to calculate the reliable index.…”

Section: Introductionmentioning

confidence: 99%

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Reliability Evaluation of Hinged Slab Bridge Considering Hinge Joints Damage and Member Failure Credibility

Tan

Kong

Wang³

et al. 2020

Applied Sciences

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The hinged slab bridge is widely used in medium- and small-span bridges because of its simple structure and convenient construction. However, hinge joints damage is the main defect of this kind of bridge, and it is difficult to express the deterministic damage degree of hinge joints in the detection process. A system reliability evaluation method considering fuzzy detection information of hinge joints damage and member failure credibility is proposed in this paper. Firstly, the membership function is used to quantitatively express the fuzzy detection information of hinge joints, and the fuzzy variable is transformed to an equivalent random variable. Secondly, the functional relationship between the transverse distribution coefficient and hinge joints damage is constructed by the modified hinge-jointed plate method and response surface method, and the reliability of the member considering the fuzzy detection information of hinge joints damage is calculated by the first-order second-moment method (FOSM). Then, the failure credibility is introduced to represent the different possibilities of system failure caused by member failure, and a system reliability assessment method of different failure criteria considering member failure credibility is established based on copula theory. Finally, the applicability of the proposed method is verified by taking the reinforced concrete hinged slab bridge as a numerical example.

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Section: System Reliability Evaluation Methods Considering Member Fai...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliability Evaluation of Hinged Slab Bridge Considering Hinge Joints Damage and Member Failure Credibility

Tan

Kong

Wang³

et al. 2020

Applied Sciences

View full text Add to dashboard Cite

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“…where xmi means the mean value of the i-th input variable; σi the standard deviation of the i-th input variable; f the selecting coefficient whose value is chosen as 1.5, to seek for informative samples around the mean values along the axis xi [6], [12]- [14]. Together with xm, n+1 samples are selected.…”

Section: ) Initial Samples Selectionmentioning

confidence: 99%

“…To improve the space distribution performance of initial samples, by using the above n+1 samples and their performance function values g, a new center point (NCP) with good distribution performance is generated [6]. Together with the above n+1 samples, n+2 samples are generated and treated as the initial samples.…”

Section: ) Initial Samples Selectionmentioning

confidence: 99%

A Novel Reliability Analysis Approach With Collaborative Active Learning Strategy-Based Augmented RBF Metamodel

2020

Self Cite

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Metamodels in lieu of time-demanding performance functions can accelerate the reliability analysis effectively. In this paper, we propose an efficient collaborative active learning strategy-based augmented radial basis function metamodel (CAL-ARBF), for reliability analysis with implicit and nonlinear performance functions. For generating the suitable samples, a CAL function is first designed to constrain the new samples being generated in sensitivity region, near limit state surface and keep certain distances mutually. Then by adjusting the adjustment coefficient of CAL function, the CAL-ARBF is mathematically modeled and the corresponding reliability analysis theory is developed. The effectiveness of the proposed approach is validated by four numerical samples, including global nonlinear problem, local nonlinear problem, nonlinear oscillator and truss structure. Through comparison of several state-of-the-art methods, the proposed CAL-ARBF is demonstrated to possess the computational advantages in efficiency and accuracy for reliability analysis.

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“…This is particularly unfavorable for aero-engines that pursue high thrust-to-weight ratios. Therefore, a reliability analysis that considers the influence of various random factors came into being [5][6][7][8][9][10][11][12]. The Monte Carlo (MC) method [13] depends on numerous sample points to obtain statistical data.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Local Maximum-Entropy Surrogate Model and Its Application to Turbine Disk Reliability Analysis

et al. 2022

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The emerging Local Maximum-Entropy (LME) approximation, which combines the advantages of global and local approximations, has an unsolved issue wherein it cannot adaptively change the morphology of the basis function according to the local characteristics of the sample, which greatly limits its highly nonlinear approximation ability. In this research, a novel Adaptive Local Maximum-Entropy Surrogate Model (ALMESM) is proposed by constructing an algorithm that adaptively changes the LME basis function and introduces Particle Swarm Optimization to ensure the optimality of the adaptively changed basis function. The performance of the ALMESM is systematically investigated by comparison with the LME approximation, a Radial basis function, and the Kriging model in two explicit highly nonlinear mathematical functions. The results show that the ALMESM has the highest accuracy and stability of all the compared models. The ALMESM is further validated by a highly nonlinear engineering case, consisting of a turbine disk reliability analysis under geometrical uncertainty, and achieves a desirable result. Compared with the direct Monte Carlo method, the relative error of the ALMESM is less than 1%, which indicates that the ALMESM has considerable potential for highly nonlinear problems and structural reliability analysis.

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The Estimation of Reliability Probability of Structures based on Improved Iterative Response Surface Methods

Cited by 6 publications

References 32 publications

Reliability Evaluation of Hinged Slab Bridge Considering Hinge Joints Damage and Member Failure Credibility

Reliability Evaluation of Hinged Slab Bridge Considering Hinge Joints Damage and Member Failure Credibility

A Novel Reliability Analysis Approach With Collaborative Active Learning Strategy-Based Augmented RBF Metamodel

Adaptive Local Maximum-Entropy Surrogate Model and Its Application to Turbine Disk Reliability Analysis

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