Fuzzy random processes and their application to dynamic analysis of structures

Abstract

In many engineering problems the dynamical reactions of structures depend on uncertain data. For considering this uncertainty, fuzzy random processes are applied. An enhanced dynamic analysis method called fuzzy stochastic finite element method (FSFEM) has been developed in order to consider the fuzzy random processes within the dynamic analysis of structures. A suitable discretization strategy enables the repeated processing of FE algorithms as deterministic fundamental solution. In this paper the FE multi-reference-plane model is extended to fuzzy randomness and dynamic loads. The numerical solution is based on the fuzzy stochastic sampling (FSS). FSS and FSFEM are applied for the numerical simulation of the load-bearing capacity of a strengthened RC plate under static and dynamic loads.