Reliability of structural dynamic models based on info-gap models

A knowledge of the variability in structural responses due to uncertainties in manufacturing tolerances, boundary conditions and excitations is essential for design in order to ensure reliable performance. We are interested in making a reliable decision when knowledge of uncertainties is quite limited and when the use of a probabilistic law is unjustified. A non-probabilistic concept of reliability based on the info-gap robustness function allows us to define the three main components of the uncertainty analysis : structural model, uncertainty model represented by info-gap models, and a performance criteria. This article concentrates on the inverse problem which consists in determining the maximal volume in the domain of uncertainty within which the performance criteria is guaranteed. The proposed methodology is illustrated based on three applications in the field of linear elastodynamics.