Uncertain dynamical systems in the medium-frequency range

Christian Soize (1)

1 LaM - Laboratoire de Mécanique

This paper presents a novel probabilistic model of random uncertainties for dynamical system in the medium-frequency (MF) range. This approach combines a nonparametric probabilistic model of random uncertainties for the reduced matrix models in structural dynamics with a reduced matrix model adapted to the MF range. The theory is presented and the random energy matrix relating to a given MF band, its random trace, and its random eigenvalues are studied. A numerical example is presented allowing convergence properties and stability of random responses With respect to the bandwidth to be analyzed.

Mots clés: uncertainty quantification; vibrations; medium frequency; reduced order model; ROD; random uncertainties; nonparametric probabilistic method; modeling errors; model uncertainties; structural dynamics; random vibrations

Domaines: Mécanique [physics.med-ph]; Vibrations [physics.class-ph]; Probabilités [math.PR]; Statistiques [math.ST]

Christian Soize. Uncertain dynamical systems in the medium-frequency range. Journal of Engineering Mechanics - ASCE, 2003, 129 (9), pp.1017-1027. ⟨10.1061/(ASCE)0733-9399(2003)129:9(1017)⟩. ⟨hal-00686212⟩