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Moment-independence global sensitivity analysis for the system with fuzzy failure state and its Kriging method

Journal of Systems Engineering and Electronics 2018年第3期29卷 658-666页

作者： LI Guijie XIE Chaoyang WEI Fayuan WANG Fengjun Institute of System Engineering China Academy of Engineering Physics

For the system with the fuzzy failure state, the effects of the input random variables and the fuzzy failure state on the fuzzy probability of failure for the structural system are studied, and the moment-independence global sensitivity analysis（GSA） model is proposed to quantitatively measure these effects. According to the fuzzy random theory, the fuzzy failure state is transformed into an equivalent new random variable for the system, and the complementary function of the membership function of the fuzzy failure state is defined as the cumulative distribution function（CDF） of the new random variable. After introducing the new random variable, the equivalent performance function of the original problem is built. The difference between the unconditional fuzzy probability of failure and conditional fuzzy probability of failure is defined as the moment-independent GSA index. In order to solve the proposed GSA index efficiently, the Kriging-based algorithm is developed to estimate the defined moment-independence GSA index. Two engineering examples are employed to verify the feasibility and rationality of the presented GSA model, and the advantages of the developed Kriging method are also illustrated.

关键词： fuzzy uncertainty fuzzy failure state fuzzy probability of failure moment-independence global sensitivity analysis(GSA) Kriging model

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fuzzy STABILITY ANALYSIS OF MODE COUPLING CHATTER ON CUTTING PROCESS

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Chinese Journal of Mechanical Engineering 1998年第2期11卷 30-35,56页

作者： Kong, Fansen Yu, Junyi Jilin Univ of Technology China

The influence of fuzzy uncertainty factors is considered on the analysis of chatter occurring during machine tool cutting process. Using fuzzy mathematics analysis methods, a detailed discussion over fuzzy stability analysis problems is presented related to the mode coupling chatter with respect to intrinsic structure fuzzy factors, and the possibility distribution of the fuzzy stability cutting range and the confidence level expressions of the fuzzy stability cutting width are given.

关键词： fuzzy uncertainty Mode coupling chatter fuzzy stability cutting range Possibility distribution Confidence level

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