Uncertainty-Based Design and Optimization Using First Order Saddle Point Approximation Method for Multidisciplinary Engineering Systems

Meng, Debiao; Xie, Tianwen; Wu, Peng; Zhu, Shun‐Peng; Hu, Zhengguo; Yan, Li

doi:10.1061/ajrua6.0001076

Cited by 47 publications

(23 citation statements)

References 38 publications

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“…e structural reliability design covers the entire civil engineering and is the basic guarantee for the normal operation of the building structures [1,2]. ere are various reliability modeling methods.…”

Section: Introductionmentioning

confidence: 99%

Approximate Calculation Method for Noncentral t-Distribution Quantile

Jun

Yao

2021

Mathematical Problems in Engineering

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In the process of structural design and structural performance evaluation, the inference of the reliable life of the structure and the representative value of the material strength is a necessary work. The determination of material strength is the presumption of the quantile of the normal distribution, and the determination of the confidence level of the quantile of the normal distribution involves the noncentral t-distribution function. However, the calculation of the quantile is very complicated and is often provided in the form of a numerical table, which often involves multiparameter interpolation calculation, so it is not convenient to apply. The existing approximate calculation methods for noncentral t-distribution quantiles have strict application conditions, and the calculation process is relatively cumbersome. It is still difficult to meet actual needs in terms of fitting accuracy, application range, and convenience. In this paper, a new calculation method for noncentral t-distribution quantiles is proposed by introducing new probability expressions and related approximate distributions, based on theoretical derivation and numerical fitting. The comparative analysis results show that the method not only is convenient for calculation but also has the advantages of higher accuracy and wider application range, and it is more in line with the actual needs of engineering.

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Section: Introductionmentioning

confidence: 99%

Approximate Calculation Method for Noncentral t-Distribution Quantile

Jun

Yao

2021

Mathematical Problems in Engineering

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“…Zhang et al constructed a BP neural network model to determine the engineering material assessment index's weight [11]. Meng et al conducted reliability-based optimization for offshore structures using saddle point approximation and studied the product remaining life prediction methods [12][13][14][15]. Tian et al studied H ∞ performance state estimation for static neural networks with time-varying delays [16], which has been widely used to improve the accuracy of the PMPA.…”

Section: Introductionmentioning

confidence: 99%

A Novel Interval Evidential Reasoning Approach to the Physical and Mechanical Property Assessment of Particleboards

Yang

Sun

Su³

et al. 2021

Mathematical Problems in Engineering

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In this paper, a new assessment method based on the interval evidential reasoning (IER) rule is proposed to solve the problem of physical and mechanical property assessment (PMPA) for particleboards. Because the detection data of the density and thickness swelling (TS) of particleboards are in an interval form, a model with precise values as input becomes inappropriate, so the PMPA of particleboards is not feasible. In the proposed method, expert knowledge and interval data are integrated to solve the assessment problem. First, the overall reliability of attributes is calculated, and the interval data are transformed into an interval belief structure. Then, the multiple interval belief structures are aggregated by ER nonlinear optimization models. Finally, the assessment results are obtained by utility theory. With the proposed method, the PMPA of particleboards with interval values can be assessed reasonably, and the combination interval belief degree of different grades of particleboard can be obtained, which has a certain guiding significance for the production and subsequent operation of enterprises. A case study for the PMPA of particleboards is conducted to demonstrate the effectiveness of the proposed method.

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“…e reliability of the traction system is still a challenge, for safety-critical and mission-critical applications. In recent years, many reliability analysis methods have been proposed to enhance the safety of engineering structures [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Reliability Assessment Based on GO Method of Metro Traction System

Gong

Chen

et al. 2020

Advances in Materials Science and Engineering

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In order to improve the reliability of the metro traction system (MTS), the whole life cycle of metro vehicles can be operated safely and reliably. A reliability assessment method based on the GO method of the MTS is proposed. In this paper, the reliability assessment is completed without operation service failure of the metro vehicle. The maintainability and shutdown correlation of many electrical components in the MTS are considered. An accurate algorithm with shared signals is used. Then the quantitative and qualitative reliability assessment of the system is achieved with the goal of traction system providing traction for the vehicle. The evaluation identifies the weak links of the system. Comparing the completely independent quantitative calculation result of each component with the accurate quantitative calculation results, it is found that the complex correlation in the repairable system has an important effect on the reliability of the system. A comparative analysis is performed on the calculating results of the GO method and fault tree analysis (FTA) method. The results demonstrate that the reliability analysis of the MTS by the GO method is feasible and reasonable. The principle of the method is simple and the logic is clear. It can not only objectively reflect the working process of the MTS, but also fully characterize the complex correlation with shut down fault in the MTS. The qualitative assessment results of the system show that the cut set probability of the pantograph is the highest, which should be the focus of the MTS.

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Uncertainty-Based Design and Optimization Using First Order Saddle Point Approximation Method for Multidisciplinary Engineering Systems

Cited by 47 publications

References 38 publications

Approximate Calculation Method for Noncentral t-Distribution Quantile

Approximate Calculation Method for Noncentral t-Distribution Quantile

A Novel Interval Evidential Reasoning Approach to the Physical and Mechanical Property Assessment of Particleboards

Reliability Assessment Based on GO Method of Metro Traction System

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