Application of the Fuzzy Finite Element Method in Structural Dynamics
نویسنده
چکیده
In the domain of structural dynamics, small uncertainties on models are known to cause possibly large uncertainties on analysis results. Therefore, techniques have been developed to include the effect of the uncertainties on the model in the calculation of the results of an analysis. The Monte Carlo simulation calculates these uncertainties by performing a stochastic analysis on the results of a large number of samples of one calculation. The high computational effort and time consumption are considered to be the major drawbacks of this method. Recently, the fuzzy finite element method has been proposed for the static analysis of uncertain structures. In this paper, the fuzzy finite element technique is proposed as an alternative for the Monte Carlo simulation for structural dynamics. The applicability of the fuzzy finite element method for dynamical analysis is analyzed and compared to the Monte Carlo simulation. The fuzzy finite element method is extended to the domain of structural dynamics. The method is applied to a simple reference case, for which the eigenvalues and frequency response functions are computed. The results of the fuzzy finite element analysis are compared to those of a corresponding Monte Carlo simulation. Conclusions are drawn regarding computational effort and applicability of both methods.
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