کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6955093 1451856 2016 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Polynomial chaos expansion with random and fuzzy variables
ترجمه فارسی عنوان
گسترش هرج و مرج چندجملهای با متغیرهای تصادفی و فازی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
چکیده انگلیسی
A dynamical uncertain system is studied in this paper. Two kinds of uncertainties are addressed, where the uncertain parameters are described through random variables and/or fuzzy variables. A general framework is proposed to deal with both kinds of uncertainty using a polynomial chaos expansion (PCE). It is shown that fuzzy variables may be expanded in terms of polynomial chaos when Legendre polynomials are used. The components of the PCE are a solution of an equation that does not depend on the nature of uncertainty. Once this equation is solved, the post-processing of the data gives the moments of the random response when the uncertainties are random or gives the response interval when the variables are fuzzy. With the PCE approach, it is also possible to deal with mixed uncertainty, when some parameters are random and others are fuzzy. The results provide a fuzzy description of the response statistical moments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mechanical Systems and Signal Processing - Volume 75, 15 June 2016, Pages 41-56
نویسندگان
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