A new solution to structural fuzzy finite element equations based on monosource fuzziness. (Chinese. English summary) Zbl 1012.65118
Summary: Considering that a fuzzy number can be decomposed into a real number and a unit fuzzy number under the monosource of fuzziness, a new method to solve fuzzy finite element equations is presented. The procedure of this method in solving a fuzzy finite element equation is firstly to separate the fuzzy factors from the problem, then to solve the finite element equation left, and finally to deal with the result with fuzzy factors. Thus, the method not only can greatly reduce calculating work in transforming the fuzzy set into the natural number set, but also can be much greatly convenient for engineers and researchers to study and analyze the structures.
MSC:
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 08A72 | Fuzzy algebraic structures |
| 65F05 | Direct numerical methods for linear systems and matrix inversion |
| 74B05 | Classical linear elasticity |
