Analise dinamica de problemas não deterministicos usando metodos baseados em conjuntos nebulosos

TL;DRAbstract

It is well-known that, in the mid-frequency range, numerical methods such as finite and boundary elements are not suitable for structural dynamic analysis.One of the reasons is the fine mesh resolution required to accurately model the physical problem, leading to large computational models.The other reason is associated with the difficulty in estimating the response statistics for system parameter variations.The mesh refinement problem can be addressed using semi-analytical methods, such as the spectral element method.However, in general, these methods are very limited with respect to the geometry and boundary conditions that can be treated.With respect to parameter variation, the simulation of systems with uncertain parameters has in the past been addressed with different techniques, such as finite elements applied to stochastic problems and fuzzy set based methods.In this thesis, the spectral element method is combined with a special implementation of a fuzzy set based method that av

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