Premium
A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters
Author(s) -
Dridger Alex,
Caylak Ismail,
Mahnken Rolf
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610322
Subject(s) - discretization , fuzzy logic , finite element method , mathematics , poisson distribution , work (physics) , modulus , order (exchange) , mathematical analysis , geometry , computer science , physics , thermodynamics , artificial intelligence , statistics , finance , economics
This work employs a fuzzy finite element method (FFEM) in order to characterize the non‐statistical properties based on the possibility theory [2]. A linear elastic body with fuzzy input material parameters Young's modulus $\tilde{E}$ and Poisson's ratio $\tilde{\nu}$ is studied. To this end, the fuzzy parameters are represented by possibility distributions generated from sparse experimental data. A computational approach involving the α‐level discretization technique [4] is used in order to calculate the possibility of the system response. Finally, our method is applied in a numerical example. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)