New analytical solution of the first - passage reliability problem for linear oscillators / Sara Ghazizadeh in Journal of engineering mechanics, Vol. 138 N° 6 (Juin 2012)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 138 N° 6 (Juin 2012) . - pp.659-706 Titre : New analytical solution of the first - passage reliability problem for linear oscillators Type de document : texte imprimé Auteurs : Sara Ghazizadeh, Auteur ; Michele Barbato, Auteur ; Enrico Tubaldi, Auteur Année de publication : 2012 Article en page(s) : pp.659-706 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : First-passage reliability problem, Time variant analysis, Structural Stochastic dynamics Nonstationary processes Résumé : The classical first-passage reliability problem for linear elastic single-degree-of-freedom (SDOF) oscillators subjected to stationary and nonstationary Gaussian excitations is explored. Several analytical approximations are available in the literature for this problem: the Poisson, classical Vanmarcke, and modified Vanmarcke approximations. These analytical approximations are widely used because of their simplicity and their lower computational cost compared with simulation techniques. However, little is known about their accuracy in estimating the time-variant first-passage failure probability (FPFP) for varying oscillator properties, failure thresholds, and types of loading. In this paper, a new analytical approximation of the FPFP for linear SDOF systems is proposed by modifying the classical Vanmarcke hazard function. This new approximation is verified by comparing its failure probability estimates with the results obtained using existing analytical approximations and the importance sampling using elementary events method for a wide range of oscillator properties, threshold levels, and types of input excitations. It is shown that the newly proposed analytical approximation of the hazard function yields a significantly more accurate estimate of the FPFP compared with the Poisson, classical Vanmarcke, and modified Vanmarcke approximations. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000365 [article] New analytical solution of the first - passage reliability problem for linear oscillators [texte imprimé] / Sara Ghazizadeh, Auteur ; Michele Barbato, Auteur ; Enrico Tubaldi, Auteur . - 2012 . - pp.659-706. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 6 (Juin 2012) . - pp.659-706 Mots-clés : First-passage reliability problem, Time variant analysis, Structural Stochastic dynamics Nonstationary processes Résumé : The classical first-passage reliability problem for linear elastic single-degree-of-freedom (SDOF) oscillators subjected to stationary and nonstationary Gaussian excitations is explored. Several analytical approximations are available in the literature for this problem: the Poisson, classical Vanmarcke, and modified Vanmarcke approximations. These analytical approximations are widely used because of their simplicity and their lower computational cost compared with simulation techniques. However, little is known about their accuracy in estimating the time-variant first-passage failure probability (FPFP) for varying oscillator properties, failure thresholds, and types of loading. In this paper, a new analytical approximation of the FPFP for linear SDOF systems is proposed by modifying the classical Vanmarcke hazard function. This new approximation is verified by comparing its failure probability estimates with the results obtained using existing analytical approximations and the importance sampling using elementary events method for a wide range of oscillator properties, threshold levels, and types of input excitations. It is shown that the newly proposed analytical approximation of the hazard function yields a significantly more accurate estimate of the FPFP compared with the Poisson, classical Vanmarcke, and modified Vanmarcke approximations. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000365

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