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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Main Authors: Rita Greco, Giuseppe Carlo Marano, Alessandra Fiore, Ivo Vanzi
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/3685091
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author Rita Greco
Giuseppe Carlo Marano
Alessandra Fiore
Ivo Vanzi
author_facet Rita Greco
Giuseppe Carlo Marano
Alessandra Fiore
Ivo Vanzi
author_sort Rita Greco
collection DOAJ
description 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.
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institution Kabale University
issn 1070-9622
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language English
publishDate 2018-01-01
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series Shock and Vibration
spelling doaj-art-cbecf502fa6f4593a7237dafee3b948a2025-02-03T05:54:15ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/36850913685091Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian ProcessRita Greco0Giuseppe Carlo Marano1Alessandra Fiore2Ivo Vanzi3DICATECh, Technical University of Bari, Via Orabona 4, 70125 Bari, ItalyDICAR, Technical University of Bari, Via Orabona 4, 70125 Bari, ItalyDICAR, Technical University of Bari, Via Orabona 4, 70125 Bari, ItalyCollege of Civil Engineering, Fuzhou University, Fuzhou, Fujian 350108, ChinaA 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.http://dx.doi.org/10.1155/2018/3685091
spellingShingle Rita Greco
Giuseppe Carlo Marano
Alessandra Fiore
Ivo Vanzi
Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process
Shock and Vibration
title Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process
title_full Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process
title_fullStr Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process
title_full_unstemmed Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process
title_short Nonstationary First Threshold Crossing Reliability for Linear System Excited by Modulated Gaussian Process
title_sort nonstationary first threshold crossing reliability for linear system excited by modulated gaussian process
url http://dx.doi.org/10.1155/2018/3685091
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AT giuseppecarlomarano nonstationaryfirstthresholdcrossingreliabilityforlinearsystemexcitedbymodulatedgaussianprocess
AT alessandrafiore nonstationaryfirstthresholdcrossingreliabilityforlinearsystemexcitedbymodulatedgaussianprocess
AT ivovanzi nonstationaryfirstthresholdcrossingreliabilityforlinearsystemexcitedbymodulatedgaussianprocess