Industrial companies are being more and more interested in the non-deterministic aspects of system, structure and process design, and beyond, in the non-deterministic analysis and optimisation outcomes. The main difficulties of stochastic approaches lie in the evaluation of the statistical distributions of the structural responses. Current methods fall in two categories, with Monte-Carlo methods whose computational costs become prohibitive as the number of parameters increases or the expected confidence levels are high and Stochastic Finite Element methods whose assumptions may be restrictive. In order to calculate the statistical distributions of structural responses, an original method is proposed. The method, which uses interval arithmetics, seems promising in terms of performance and suitability for intensive numerical treatment.
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