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Wyszukujesz frazę "Fuzzy number" wg kryterium: Temat


Wyświetlanie 1-2 z 2
Tytuł:
Granular computational homogenisation of composite structures with imprecise parameters
Autorzy:
Beluch, W.
Hatłas, M.
Ptaszny, J.
Powiązania:
https://bibliotekanauki.pl/articles/38696696.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
computational homogenisation
granular computations
fuzzy number
directed interval arithmetic
response surface
finite element method
Opis:
The paper presents the formulation of a granular computational homogenisation problem and the proposition of a method to solve it, which enables multiscale analysis of materials with uncertain microstructure parameters. The material parameters and the geometry, represented by the interval and fuzzy numbers, are assumed to be unprecise. An _-cut representation of fuzzy numbers allows the use of interval arithmetic for epistemic uncertainties. Directed interval arithmetic is used to reduce the effect of interval widening during arithmetic operations. Response surfaces of diverse types, including Artificial Neural Networks, are used as model reduction methods. The finite element method is employed to solve the boundary value problem on a micro scale. Numerical examples are provided to demonstrate the effectiveness of the proposed approach.
Źródło:
Archives of Mechanics; 2023, 75, 3; 271-300
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chosen possibilities of $ \overline{ \epsilon } $-fuzzy boundary elements method application in the analysis of conductivity problems with uncertainties
Autorzy:
Witek, Halina
Witek, Bernard
Powiązania:
https://bibliotekanauki.pl/articles/38705714.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
ɛ-fuzzy boundary element method
ɛ-number
fuzzy boundary element method
heat conduction
temperature distribution
object diagnosis
ɛ-metoda rozmytych elementów brzegowych
metoda rozmytych elementów brzegowych
przewodnictwo cieplne
rozkład temperatury
diagnoza obiektu
Opis:
The paper presents a methodology of solving boundary problems with uncertainty parameters based on the use of interval perturbation numbers. This methodology allows for the analysis of very complex problems with different uncertain parameters. Fuzzy Boundary Element Method (FBEM) using $ \overline{ \epsilon } $-number will be called $ \overline{ \epsilon } $-Fuzzy Boundary Element Method ($ \overline{ \epsilon } $-FBEM). Detailed discussion of the problems of computing and applications will be presented on the example of the fuzzy boundary integral equation arising from the boundary problem for the potential problems with heterogeneous, fuzzy boundary conditions of Dirichlet and Neumann type, fuzzy internal sources, fuzzy boundary and fuzzy fundamental solution. The presented methodology can be used to solve various engineering problems (e.g. in civil engineering, power engineering and others) – e.g. to analyze the temperature distribution in structural elements or elements located in the vicinity of objects or devices. In the latter case the increased temperature may be a symptom of a severe failure (e.g. power transformer overload, overexcitation or a fault) which cannot be tolerated due to the threat to the object and to the entire power system. Proposed method maybe used for electrical equipment diagnosis and in consequence as a power system failure prevention. In this paper calculation methodology is illustrated on the example of an area bounded by a square, on the left boundary of which a certain temperature is set, while on the rest of the boundaries the conditions are equal to zero. A dedicated computer program allows for the calculation of both temperature and temperature derivative for any number of boundary elements using $ \overline{ \epsilon } $-FBEM.
Źródło:
Computer Assisted Methods in Engineering and Science; 2023, 30, 4; 407-426
2299-3649
Pojawia się w:
Computer Assisted Methods in Engineering and Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-2 z 2

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