Structural Reliability Assessment Based on Subjective Uncertainty

Liu Ying; Zhao Jianyin; Qu ZhigangWang Lin

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Structural Reliability Assessment Based on Subjective Uncertainty

机译：Structural Reliability Assessment Based on Subjective Uncertainty

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摘要

In traditional structural reliability analysis, the uncertainties, such as loads and strengths, are considered as random variables with specific probability distributions. When the information is insufficient, it is difficult to obtain the distribution functions. Hence, experts are usually asked to estimate the belief degrees. Uncertainty theory is a branch of mathematics used to model the belief degrees of experts. In this paper, the factors influencing system structures are treated as independent uncertain variables. Based on that, the concepts of safety margin, structural reliability and failure belief degree are proposed, respectively. Then the general calculation methods of structural reliability and failure belief degree for monotonic safety margins are given, which are not restricted by the specific distributions of variables and the safety margin forms. Furthermore, the reliability index is given for the structure with linear safety margin and normal uncertain variables, and the relationship between structural reliability and reliability index is proposed. In addition, the geometric property of reliability index is investigated and used to define the reliability index in non-linear safety margin and normal uncertain variables case. Finally, several numerical examples are employed to demonstrate the effectiveness of the methods.

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《International journal of computational methods》 |2021年第10期|共19页
作者
Liu Ying; Zhao Jianyin; Qu ZhigangWang Lin;
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作者单位

College of Artificial Intelligence and Advanced Structural Integrity International Joint Research Centre, Tianjin University of Science and Technology, 1038 Dagu Nanlu, Hexi District, Tianjin 300222,P. R. China;

Naval Aviation University, 188 Erma Road, Zhifu District, Yantai 264001,P. R. China;

College of Electronic Information and Automation and Advanced Structural Integrity International, Joint Research Centre, Tianjin University of Science and Technology, 1038 Dagu Nanlu, Hexi District, Tianjin 300222,P. R. ChinaCollege of Artificial Intelligence, Tianjin University of Science and Technology, 1038 Dagu Nanlu, Hexi District, Tianjin 300222,P. R. China;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Structural reliability; reliability index; failure belief degree; safety margin; uncertain variable;

Structural Reliability Assessment Based on Subjective Uncertainty

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