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http://dx.doi.org/10.12989/sem.2007.25.2.147

Fuzzy dynamic structural analysis of two-dimensional frame  

Stemberk, Petr (Faculty of Civil Engineering, Czech Technical University)
Kruis, Jaroslav (Faculty of Civil Engineering, Czech Technical University)
Publication Information
Structural Engineering and Mechanics / v.25, no.2, 2007 , pp. 147-160 More about this Journal
Abstract
In this paper, a dynamic analysis based on the fuzzy set theory is presented as a possible complementary tool to the classical stochastic methods for dynamic analyses. Material parameters of a structure are influenced by uncertainties and therefore they are considered to be fuzzy quantities with given distributions, that means fuzzy numbers with given membership functions. The fuzzy dynamic analysis is conducted with help of fuzzy arithmetic defined on the so-called ${\alpha}$-cuts. The results of the analysis are also obtained in the form of fuzzy numbers, which compared to the stochastic methods is less computationaly expensive while at the same time they still provide information about the distribution of a quantity. This method is demonstrated on an analysis of a two-dimensional frame subjected to possible seismic load, where the uncertain eigenmodes and eigenfrequencies are used in the modal analysis.
Keywords
earthquake design; eigenfrequencies; eigenmodes; finite element method; fuzzy numbers;
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