Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
The transformation method for the simulation and analysis of systems with uncertain parameters
Fuzzy Sets and Systems - Fuzzy intervals
A Generalized Interval Arithmetic
Proceedings of the International Symposium on Interval Mathemantics
Introduction to Interval Analysis
Introduction to Interval Analysis
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A novel procedure for deriving approximate explicit expressions of the frequency response function (FRF) matrix of linear discretized structures with uncertain parameters is presented. The following main steps are required: (i) to decompose the deviation of the structural matrices with respect to their nominal values as sum of rank-one matrices; (ii) to derive the so-called Rational Series Expansion (RSE) which provides an approximate explicit expression of the FRF holding for any uncertainty model. The potentials of the RSE are demonstrated within the interval framework by determining the region of the modulus of the FRF of structures with uncertain-but-bounded parameters.