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RISS 인기검색어
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- 저자 : Qiu Jiwei (검색결과 2 건)
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Reliability analysis based on the principle of maximum entropy and Dempster–Shafer evidence theory
Qiu Jiwei,Zhang Jianguo,Ma Yupeng 대한기계학회 2018 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.32 No.2
The Probability density functions (PDFs) of some uncertain parameters are difficult to determine precisely due to insufficient information. Only the varying intervals of such parameters can be obtained. A method of reliability analysis based on the principle of maximum entropy and evidence theory was proposed to address the reliability problems of random and interval parameters. First, the PDFs and cumulative distribution functions of interval parameters were obtained on the basis of the principle of maximum entropy and Dempster– Shafer evidence theory. Second, the normalized means and standard deviations of interval parameters were obtained using the equivalent normalization method. Third, two explicit iteration algorithms of reliability analysis were proposed on the basis of the advanced firstorder and second-moment method to avoid solving the limit state function and obtain the reliability index. Finally, the accuracy and efficiency of the proposed methods were verified through a numerical example and an engineering case.
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Jiwei Qiu,Haisheng Luo 대한기계학회 2022 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.36 No.4
Aimed at the subjectivity of selecting the weight of each objective function in the process of multiobjective reliability-based design optimization (MRBDO), this study proposed a multiobjective weight quantitative analysis method by combining the gray incidence analysis method and evidence theory. This method derived the weight of each objective function from the uncertainty information of design variables, and effectively avoided the subjectivity of weight selection. First, the ideal attribute interval number and the interval number matrix of uncertain design variables were defined based on the gray system theory. On the basis of the definition of the information structure sequence, the gray incidence coefficient (GIC) matrix of measures with ideal attribute deviations was derived. Second, the basic probability assignment of each objective function and model under uncertainty variables was derived based on the DempsterShafer evidence theory. The Dempster-Shafer evidence synthesis rule was used to fuse the multisource evidence information to obtain the weight of each objective function. Then, an MRBDO problem was converted into a single-objective reliability-based design optimization (SRBDO) problem, which is relatively easier to address. Third, the performance measurement analysis (PMA) method was used to transform the reliability constraint into an optimized iterative process, and the MRBDO solution was obtained based on the MATLAB Optimization Toolbox and Symbol Toolbox. Finally, the accuracy and efficiency of the proposed method were verified through a numerical example and a small aeroengine gear reduction system.
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