Uncertain Dynamical Systems in the Medium-Frequency Range

C. Soize
2003 Journal of engineering mechanics  
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, 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
more » ... sented allowing convergence properties and stability of random responses with respect to the bandwith to be analyzed.
doi:10.1061/(asce)0733-9399(2003)129:9(1017) fatcat:vcrk2j2lofbpbontcr6kugmrc4