Theoretical analysis of non-probabilistic reliability based on interval model

Chen, Xuyong; Fan, Jiawei; Bian, Xiaoya

doi:10.1016/j.camss.2017.11.003

Cited by 15 publications

(14 citation statements)

References 16 publications

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“…Wang et al [4] further improved the above analytic method combining the interval perturbation series expansion method and the firstpassage principle. Actually, the reliability method for fatigue crack growth prediction with limited uncertainty information proposed by Wang et al [3,4] was consistent with the nonprobabilistic reliability concept presented by Ben-Haim [5], which effectively dealt with the reliability problems when only few or less statistical data were available [6].…”

Section: Introductionmentioning

confidence: 62%

“…In bridge engineering, engineers and researchers have to face the arduous measurement task due to many key factors influencing the performance of bridge structures. As stated by Chen et al [6], in order to obtain the nonprobabilistic reliability index using their analytical approach presented, there were (1 + n! (n − 1)!/2) limit state functions for solving the extreme points and 2 n−1 limit state functions for solving the root value points for the n-dimensional problem.…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…Gradient projection method was suggested to solve the nonprobabilistic reliability index by creating search directions and establishing iterative computation formulation [17]. Chen et al [6] and Fan and Chen [18] proposed the global optimal solution method and pointed out that the probable failure points only existed on extreme points and root points of the limit state function, avoiding the loss of probable failure points. Chen et al [19] proposed a nonprobabilistic response surface limit method based on the interval model, which effectively avoided the tedious and oscillating iteration process and enhanced computational efficiency and precision.…”

Section: Introductionmentioning

confidence: 99%

“…As stated by Chen et al [6], Chen and Fan [14], and Fan and Chen [18], there were many advantages for improved one-dimensional optimization algorithm and global optimization method in solving the nonprobabilistic reliability index. Of course, disadvantages of these two methods were also reclarified here.…”

Section: Introductionmentioning

confidence: 99%

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Improved Nonprobabilistic Global Optimal Solution Method and Its Application in Bridge Reliability Assessment

Bian

Chen

Yang

et al. 2019

Advances in Civil Engineering

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Utilizing the improved one-dimensional optimization algorithm conveniently solved the nonprobabilistic reliability index, however, only searching the part of probable failure points. Utilizing the global optimal solution method produced heavy computation, although it was capable of searching all probable failure points. This paper, based on these two methods, proposed an improved nonprobabilistic global optimal solution method. The presented method possessed the advantages of searching all probable failure points and generating less computation, by means of which the values of interval variables were determined based on the monotonicity of performance function to the corresponding variables. Without losing any probable failure points, this method was contributive to reducing root value point equations, lowering the computational complexity, and improving the computational efficiency. The effectiveness and feasibility of the presented method were verified by two examples. The proposed method was also introduced to build the nonprobabilistic reliability evaluation process of existing bridges. Taking the Longganhu bridge for example, the nonprobabilistic reliability index of it was calculated using the presented nonprobabilistic reliability evaluation process. The computed nonprobabilistic reliability index η = 0.737 < 1 indicated that the Longganhu bridge was unreliable and needed to be reinforced. Reinforcement measures were carried out for a hollow slab and bridge deck of the Longganhu bridge, respectively. The reinforced bridge was reevaluated as η = 2.159 > 1. The results showed that the bridge was reliable after reinforcement. The study illustrated the application and feasibility of the improved nonprobabilistic global optimal solution method and nonprobabilistic reliability evaluation process in reliability assessment and reinforcement of existing bridges.

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Section: Introductionmentioning

confidence: 62%

Section: Sensitivity Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Improved Nonprobabilistic Global Optimal Solution Method and Its Application in Bridge Reliability Assessment

Bian

Chen

Yang

et al. 2019

Advances in Civil Engineering

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“…Combined with the above stress analysis, there is plastic deformation and hardening of the surface metal layer caused by collision and friction between parts. Therefore, the initial wear process is impact sliding coupling wear, and the later wear process is abrasive particle wear [15][16]. Abrasive particle wear usually results in severe surface damage.…”

Section: Research On Wear Failure Mechanics Based On Microscopic Analmentioning

confidence: 99%

Design and Realization of Reliability Enhancement Test for Breech Mechanism of Large-Caliber Guns

Cao¹

2019

IJPE

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To address the issue that conducting a reliability enhancement test for large-caliber guns is impossible based on actual equipment, a new kind of enhancement test bed for the breech mechanism is designed and established. By measuring the extreme working stress of the test bed, enhancement test stress and enhancement stress levels are determined. The cross sections of single stress enhancement tests and comprehensive stress enhancement tests are designed. The cartridge extracting process is selected to excite the potential failures. The wear of the shaft arm of the shell stop and the wear of the arm of the cocking shaft are measured and analyzed based on finite element analysis and micro examination tests. The practical failure process is illustrated. Under the combined action of impact sliding coupling wear and abrasive particle wear, there are flakes, pan furrows, and holes on the part surfaces, which result in outline variation and force transmission failure. The research idea of this paper provides a new kind of failure mode analysis method for large-caliber guns.

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New reliability modeling methods for structural systems with hybrid uncertainty

Zhao

Yang

Liu

et al. 2020

Quality & Reliability Eng

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The present study investigates the hybrid reliability modeling of structures in which the inputs contain both random variables and interval variables. Hybrid uncertainty is divided into three categories, including random variables mixed with random variables, interval variables mixed with interval variable, and random variables mixed with interval variables. In order to perform the reliability analysis of structural systems, first, the Bayes method is proposed in the present study to obtain distribution parameters of random variables. Moreover, the self-sample method is introduced to obtain the interval boundaries based on the least available measuring data. Then, the reliability models are established for three situations and the reliability indices are defined and derived accordingly. The abovementioned three types of reliability indices outline the general situation of structural systems. Finally, the specific calculation process is described in details through different examples. Furthermore, the accuracy and efficiency of the proposed method is discussed by comparing the results obtained from the Monte Carlo simulation and those of other methods. The obtained results indicate that the performance of the proposed model in solving reliability modeling problems is better.

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Theoretical analysis of non-probabilistic reliability based on interval model

Cited by 15 publications

References 16 publications

Improved Nonprobabilistic Global Optimal Solution Method and Its Application in Bridge Reliability Assessment

Improved Nonprobabilistic Global Optimal Solution Method and Its Application in Bridge Reliability Assessment

Design and Realization of Reliability Enhancement Test for Breech Mechanism of Large-Caliber Guns

New reliability modeling methods for structural systems with hybrid uncertainty

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