A correct prediction of the largest absolute value of the dynamic response is a central topic in the reliability analysis of structures subjected to natural actions, such as earthquakes, winds and waves, which can be effectively modeled as random processes. Nevertheless, the exact statistics of the maximum absolute value have not been derived, even in the simplest case of a linear oscillator under normal stationary white noise; hence, a number of approximations can be found in the literature. In this paper, a censored Gumbel closure is proposed for the evaluation of the non-linear differential equations governing the statistical moments of the largest absolute value of the response of linear structures under stationary or nonstationary Gaussian processes. The principal characteristics of the proposed approach are: (i) the censored closure satisfies the natural constraint that the extreme absolute value of the response is always not less than the modulus of the response; (ii) the use of the Gumbel distribution for the closure improves the results in comparison with the Gaussian one.

Largest absolute value statistics for the response of linear structures

MUSCOLINO, Giuseppe Alfredo;PALMERI, ALESSANDRO
2003-01-01

Abstract

A correct prediction of the largest absolute value of the dynamic response is a central topic in the reliability analysis of structures subjected to natural actions, such as earthquakes, winds and waves, which can be effectively modeled as random processes. Nevertheless, the exact statistics of the maximum absolute value have not been derived, even in the simplest case of a linear oscillator under normal stationary white noise; hence, a number of approximations can be found in the literature. In this paper, a censored Gumbel closure is proposed for the evaluation of the non-linear differential equations governing the statistical moments of the largest absolute value of the response of linear structures under stationary or nonstationary Gaussian processes. The principal characteristics of the proposed approach are: (i) the censored closure satisfies the natural constraint that the extreme absolute value of the response is always not less than the modulus of the response; (ii) the use of the Gumbel distribution for the closure improves the results in comparison with the Gaussian one.
2003
9789077017746
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/1608278
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 1
social impact