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Shock and Vibration
Volume 2018, Article ID 3685091, 17 pages
Research Article

Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process

1DICATECh, Technical University of Bari, Via Orabona 4, 70125 Bari, Italy
2DICAR, Technical University of Bari, Via Orabona 4, 70125 Bari, Italy
3College of Civil Engineering, Fuzhou University, Fuzhou, Fujian 350108, China
4InGeo, University of Chieti-Pescara “G. d’Annunzio”, Viale Pindaro 42, 65127 Pescara, Italy

Correspondence should be addressed to Rita Greco; ti.abilop@ocerg.atir

Received 21 March 2018; Accepted 8 July 2018; Published 5 September 2018

Academic Editor: Salvatore Caddemi

Copyright © 2018 Rita Greco et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A widely used approach for the first crossing reliability evaluation of structures subject to nonstationary Gaussian random input is represented by the direct extension to the nonstationary case of the solution based on the qualified envelope, originally proposed for stationary cases. The most convenient way to approach this evaluation relies on working in the time domain, where a common assumption used is to adopt the modulation of stationary envelope process instead of the envelope of modulated stationary one, by utilizing the so-called “preenvelope” process. The described assumption is demonstrated in this work, also showing that such assumption can induce some errors in the envelope mean crossing rate.