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

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 conve...

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Bibliographic Details
Published inShock and vibration Vol. 2018; no. 2018; pp. 1 - 17
Main Authors Vanzi, Ivo, Fiore, Alessandra, Marano, Giuseppe Carlo, Greco, Rita
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2018
Hindawi
Hindawi Limited
Wiley
Subjects
Earthquakes
Engineering
Hypotheses
Mechanics
Probability
Random variables
Random vibration
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Summary: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.
ISSN:1070-9622
1875-9203
DOI:10.1155/2018/3685091