This paper describes an original approach for computing the stationary response of linear periodic time variant MDOF systems subjected to stationary stochastic external excitation. The proposed method is derived in the frequency domain, is purely numerical, and provides the explicit power spectral density (PSD) of the response. Its implementation first requires expressing the PSD response as a function of the bilinear Fourier transform of the so-called bitemporal impulse response. Then, the spectral method is used to compute the bispectrum function. The efficiency of this spectral process is demonstrated by comparison with Monte Carlo simulations on three parametrical systems. The computational time required and the accuracy are very satisfactory.
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January 2008
Research Papers
A Spectral Method for Describing the Response of a Parametrically Excited System Under External Random Excitation
J. Perret-Liaudet
e-mail: joel.perret-liaudet@ec-lyon.fr
J. Perret-Liaudet
LTDS
, Ecole Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully Cedex, France
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L. Bachelet
N. Driot
J. Perret-Liaudet
LTDS
, Ecole Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully Cedex, Francee-mail: joel.perret-liaudet@ec-lyon.fr
J. Comput. Nonlinear Dynam. Jan 2008, 3(1): 011008 (10 pages)
Published Online: November 26, 2007
Article history
Received:
January 9, 2007
Revised:
July 23, 2007
Published:
November 26, 2007
Citation
Bachelet, L., Driot, N., and Perret-Liaudet, J. (November 26, 2007). "A Spectral Method for Describing the Response of a Parametrically Excited System Under External Random Excitation." ASME. J. Comput. Nonlinear Dynam. January 2008; 3(1): 011008. https://doi.org/10.1115/1.2815333
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