NDLI: General failure probability simulation and application for multi-mode

Content Provider	Springer Nature Link
Author	Zhenzhou, Lü Zhufeng, Yue Yunwen, Feng
Copyright Year	2000
Abstract	A general failure probability simulation and deviation evaluation methods were presented for fuzzy safety state and fuzzy failure state. And the corresponding number integral method was simultaneously established. As the distribution of state variable and the membership of the state variable to the fuzzy safety set were normal, the general failure probability of the single failure mode had precise analytic solution, which was used to verify the precision of the presented methods. The results show that the evaluation of the simulation method convergences to the analytic solution with the number increase of the sampling. The above methods for the single failure mode was extended to the multi-mode by the expansion and probability principles. The presented methods were applied to the engineering problem. For the number of significant mode is not too many, the high precision solution can be given by the presented number simulation and number integral methods, which is illustrated by the engineering examples. In addition, the application scope of the methods was discussed.
Starting Page	425
Ending Page	432
Page Count	8
File Format	PDF
ISSN	02534827
Journal	Applied Mathematics and Mechanics
Volume Number	21
Issue Number	4
e-ISSN	15732754
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2000-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	general failure probability simulation failure mode Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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