Uncertain Dynamical Systems in the Medium-Frequency Range
Publication: Journal of Engineering Mechanics
Volume 129, Issue 9
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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Published In
Journal of Engineering Mechanics
Volume 129 • Issue 9 • September 2003
Pages: 1017 - 1027
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Dec 9, 2002
Accepted: Feb 21, 2003
Published online: Aug 15, 2003
Published in print: Sep 2003
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