Belief Reliability-based Design Optimization of Structures

Chen, Yubing; Wen, Meilin; Kang, Rui; Zhang, Qingyuan

doi:10.3850/978-981-14-8593-0_3883-cd

Cited by 2 publications

(3 citation statements)

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“…Because the internal factors, the external factors, and their uncertainty characters are all involved in the four equations, we can choose and make trade-offs within the above measures under the constraints of cost and resources. Different optimization methods can be used in this part to achieve the reliability goals according to different demands and product situation [73,143,144].…”

Section: Function-oriented Belief Reliability Designmentioning

confidence: 99%

Belief Reliability: A Scientific Exploration of Reliability Engineering

Zhang,

Li,

et al. 2024

J. of Syst. Eng. Electron.

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This paper systematically introduces and reviews a scientific exploration of reliability called the belief reliability. Beginning with the origin of reliability engineering, the problems of present theories for reliability engineering are summarized as a query, a dilemma, and a puzzle. Then, through philosophical reflection, we introduce the theoretical solutions given by belief reliability theory, including scientific principles, basic equations, reliability science experiments, and mathematical measures. The basic methods and technologies of belief reliability, namely, belief reliability analysis, function-oriented belief reliability design, belief reliability evaluation, and several newly developed methods and technologies are sequentially elaborated and overviewed. Based on the above investigations, we summarize the significance of belief reliability theory and make some prospects about future research, aiming to promote the development of reliability science and engineering.

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Section: Function-oriented Belief Reliability Designmentioning

confidence: 99%

Belief Reliability: A Scientific Exploration of Reliability Engineering

Zhang,

Li,

et al. 2024

J. of Syst. Eng. Electron.

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“…Kang systematically expounded the framework and research progress of belief reliability theory [13]. In terms of reliability design optimization, Chen proposed a belief reliability-based design optimization (BRBDO) model [4]. Numerous studies have shown that belief reliability theory can effectively deal with epistemic uncertainty in reliability engineering and optimization [11,17,18].…”

Section: Literature Reviewmentioning

confidence: 99%

“…In terms of belief reliability-based design optimization, the research on improving the optimization efficiency is relatively limited. Chen tried to improve the overall optimization efficiency by improving the reliability analysis efficiency, and gave a deterministic equivalent model of BRBDO when the performance margin function is strictly monotonic [4]. However, in the general non-monotonic case, the BRBDO model can only solve the reliability constraints by uncertain simulation algorithm [35], which greatly limits the optimization efficiency.…”

Section: Literature Reviewmentioning

confidence: 99%

Belief reliability-based design optimization method with quantile index under epistemic uncertainty

Chen¹,

Wen²,

Zhang³

et al. 2023

Eksploatacja i Niezawodność – Maintenance and Reliability

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Product reliability design optimization is affected by epistemic uncertainty greatly, which leaves significant risks in product use. In this paper, a new belief reliability-based design optimization (BRBDO) method under epistemic uncertainty is established to handle this problem. First, the belief reliability theory is introduced into the design optimization problem, and a quantile index is proposed to quantify belief reliability level based on uncertainty theory, through which a rapid analysis method called first order belief reliability analysis (FOBRA) method is developed. Then, according to the different trade-off strategies, two types of design optimization models are established, and corresponding FOBRA-based computation methods are also demonstrated. Finally, several case applications are studied to verify the effectiveness of the analysis and design optimization methods proposed in this paper. The results indicate that the BRODO method with the quantile index can save a lot of computational time with acceptable accuracy and can rationally cope with epistemic uncertainty.

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Belief Reliability-based Design Optimization of Structures

Cited by 2 publications

References 0 publications

Belief Reliability: A Scientific Exploration of Reliability Engineering

Belief Reliability: A Scientific Exploration of Reliability Engineering

Belief reliability-based design optimization method with quantile index under epistemic uncertainty

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