Reliability analysis of linear discretized structural systems with interval uncertainties subjected to stationary Gaussian randomexcitation is addressed. Under the assumption of independent up-crossings of a specified threshold, an efficient procedure forthe evaluation of the bounds of the interval reliability function of the generic response process is presented. The first step of theproposed approach is to derive approximate expressions of the interval mean-value and spectral moments of the response along withthe associated bounds. To this aim, the improved interval analysis via extra unitary interval is applied in conjunction with a novelseries expansion of the inverse of an interval matrix with modifications, called Interval Rational Series Expansion (IRSE). Then,the lower bound and upper bounds of the interval reliability function are readily evaluated by properly combining the bounds ofthe interval mean-value and spectral moments of the response. Two numerical examples are provided to demonstrate the accuracyof the proposed procedure and its usefulness in view of decision-making in engineering practice.
Reliability analysis of structures with interval uncertainties under stationary stochastic excitations / Muscolino, G; Santoro, R; Sofi, Alba. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 300:(2016), pp. 47-69. [10.1016/j.cma.2015.10.023]
Reliability analysis of structures with interval uncertainties under stationary stochastic excitations
SOFI, Alba
2016-01-01
Abstract
Reliability analysis of linear discretized structural systems with interval uncertainties subjected to stationary Gaussian randomexcitation is addressed. Under the assumption of independent up-crossings of a specified threshold, an efficient procedure forthe evaluation of the bounds of the interval reliability function of the generic response process is presented. The first step of theproposed approach is to derive approximate expressions of the interval mean-value and spectral moments of the response along withthe associated bounds. To this aim, the improved interval analysis via extra unitary interval is applied in conjunction with a novelseries expansion of the inverse of an interval matrix with modifications, called Interval Rational Series Expansion (IRSE). Then,the lower bound and upper bounds of the interval reliability function are readily evaluated by properly combining the bounds ofthe interval mean-value and spectral moments of the response. Two numerical examples are provided to demonstrate the accuracyof the proposed procedure and its usefulness in view of decision-making in engineering practice.File | Dimensione | Formato | |
---|---|---|---|
MUSCOLINO_2016_CMAME_RELIABILITY_Editor.pdf
non disponibili
Descrizione: Versione dell'editore
Tipologia:
Versione Editoriale (PDF)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
1.28 MB
Formato
Adobe PDF
|
1.28 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
MUSCOLINO_2016_CMAME_Reliability_postprint.pdf
accesso aperto
Descrizione: Post-print
Tipologia:
Documento in Post-print
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
1.45 MB
Formato
Adobe PDF
|
1.45 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.