Fuzzy boundary element methods A new multi-scale perturbation approach for systems with fuzzy parameters

• Autorzy: Skrzypczyk J.
• Języki publikacji: PL

Abstrakty

EN

The aim of the paper is to present applications of the new algebraic system with specifically strictly defined new interval numbers. [8]. We present the Fuzzy Boundary Integral Equations where all operations are in the fuzzy perturbation sense. From now we assume that values of boundary conditions, material properties, internal prescribed fields and the shape of a boundary are uncertain and we'll model these uncertainties using the new methodology based on interval perturbation numbers. Illustrative examples from the potential theory are given to comment different aspects of the presented theory. Interval, triangle and trapezoidal - type fuzzy boundary conditions are considered. To complete the presentation the potential problem in a fuzzy domain is discussed. Presented methods give the complete methodology how to obtain good approximations of solutions of uncertain boundary problems with use of modern fuzzy analysis.

Słowa kluczowe

EN

fuzzy boundary integral equations; interval perturbation numbers

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej. Oddział Gliwice
• Czasopismo: Modelowanie Inżynierskie
• Rocznik: 2006
• Tom: T. 1, nr 32
• Strony: 433--438
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Skrzypczyk J.

• Zakład Mechaniki Teoretycznej, Politechnika Śląska, 44-100, Gliwice, ul. Krzywoustego 7 tel. [phone]

Bibliografia

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• 9. Skrzypczyk J., Multi-scale perturbation methods in mechanics, Proc. of Symposium “Modelling in Mechanics”, Wisła February 26 - March 2 2006, Poland 2006.
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