This paper deals with the identification of linear structural systems with random parameters. The stiffness matrix of a four-storey shear frame structure is assumed to be linearly dependent on a random parameter ruling the damage evolution of the columns. The evaluation of natural frequencies and the mode-shapes is in the context of random eigenvalue problems in structural dynamics. Using a Taylor expansion of the mass and stiffness matrices, a perturbation technique is first applied to derive the asymptotic solution up to the second order. Then, the evaluation of the statistic of the frequencies and mode-shapes is derived up to the second order. Finally a stochastic identification technique is proposed to characterize the statistics of the random parameter.

A perturbation approach for the identification of uncertain structures / Lofrano, Egidio; Paolone, Achille; Vasta, Marcello. - In: INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL. - ISSN 2195-268X. - STAMPA. - 4:2(2016), pp. 204-212. [10.1007/s40435-015-0171-4]

A perturbation approach for the identification of uncertain structures

LOFRANO, EGIDIO
;
PAOLONE, ACHILLE;
2016

Abstract

This paper deals with the identification of linear structural systems with random parameters. The stiffness matrix of a four-storey shear frame structure is assumed to be linearly dependent on a random parameter ruling the damage evolution of the columns. The evaluation of natural frequencies and the mode-shapes is in the context of random eigenvalue problems in structural dynamics. Using a Taylor expansion of the mass and stiffness matrices, a perturbation technique is first applied to derive the asymptotic solution up to the second order. Then, the evaluation of the statistic of the frequencies and mode-shapes is derived up to the second order. Finally a stochastic identification technique is proposed to characterize the statistics of the random parameter.
2016
stochastic structural system identification; uncertain structure; perturbation approach
01 Pubblicazione su rivista::01a Articolo in rivista
A perturbation approach for the identification of uncertain structures / Lofrano, Egidio; Paolone, Achille; Vasta, Marcello. - In: INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL. - ISSN 2195-268X. - STAMPA. - 4:2(2016), pp. 204-212. [10.1007/s40435-015-0171-4]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/872990
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