Document Actions
B Möller, M Beer, W Graf, and J–U Sickert (2001)
Fuzzy Finite Element Method and its Application
In: Trends in Computational Structural Mechanics, Colloquium 2001, edited by W. A. Wall and K.-U. Bletzinger and K. Schweizerhof. CIMNE Barcelona, pages 529–538.
In the Fuzzy Finite Element Method (FFEM) uncertain geometrical, material
and loading parameters are treated as fuzzy values. Uncertainties of the characteristic
fuzziness may be observed, e.g. in earthquake loading, impact loads, storm loading,
terrorist attacks, damage processes or shortcomings in construction work. Spatially
distributed uncertainties are described in the method of finite elements using fuzzy
functions. These fuzzy functions describe a bunch of functions with uncertain bunch
parameters. The introduced fuzzy functions enable fuzziness to be accounted for in the
principle of virtual displacements or the particular variational principle adopted. In order
to solve the system of fuzzy differential equations and the system of fuzzy equations of
the FFEM a-level optimization is applied. The FFEM approach is demonstrated by way
of an application example.
