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Journal Articles Journal of Engineering Mechanics - ASCE Year : 2003

Uncertain dynamical systems in the medium-frequency range

Abstract

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.
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Dates and versions

hal-00686212 , version 1 (08-04-2012)

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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⟩
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