In modern structural analysis, taking into account the variability of material and geometrical parameters is becoming of higher and higher interest. This led engineering researchers to develop and improve stochastic methods especially in Finite Element Analysis. Unfortunately, most of them show limitations concerning the computational time or the uncertainty level of random variables. These are unacceptable inconveniences for industrial problems. This article sets the basis for a structural dynamic method which purpose is the statistical moments computation of a dynamic output parameter (in this case the eigenfrequencies). It will exploit the well-known property of weak sensitivity of modal shapes to uncertainties in comparison with a considerable variation of eigenfrequencies. Two numerical examples are shown and the results are compared with a classic Monte Carlo Simulation technique.
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