Transient Perturbations of Gaussian White Noise Processes and Their Effects on the Extreme Response of Mechanical Oscillators.
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| Title: | Transient Perturbations of Gaussian White Noise Processes and Their Effects on the Extreme Response of Mechanical Oscillators. |
|---|---|
| Authors: | Hernandez, Eric M.1 (AUTHOR) eric.hernandez@uvm.edu, Mucchi, Emiliano1 (AUTHOR) emiliano.mucchi@unife.it |
| Source: | Shock & Vibration. 3/10/2026, Vol. 2026, p1-8. 8p. |
| Subjects: | Additive white Gaussian noise, Linear systems, Cumulative distribution function, Root-mean-squares, Harmonic oscillators |
| Abstract: | This paper presents a derivation for obtaining additive transient perturbations to Gaussian white noise (GWN) processes that induce any target level of maximum response on linear single‐degree‐of‐freedom oscillators over a time interval of length T. The metric to characterize the perturbation is the L2‐norm, and the metric to characterize the extreme response is the probability of nonexceedance under the action of the GWN process. The paper also presents evidence that the proposed perturbation can also appear spontaneously in realizations of GWN that generate an extreme response in linear systems. This can be interpreted as a distinguishing characteristic of realizations of GWN that induce an extreme response in linear oscillators. [ABSTRACT FROM AUTHOR] |
| Copyright of Shock & Vibration is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 192205115 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Transient Perturbations of Gaussian White Noise Processes and Their Effects on the Extreme Response of Mechanical Oscillators. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hernandez%2C+Eric+M%2E%22">Hernandez, Eric M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> eric.hernandez@uvm.edu</i><br /><searchLink fieldCode="AR" term="%22Mucchi%2C+Emiliano%22">Mucchi, Emiliano</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> emiliano.mucchi@unife.it</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Shock+%26+Vibration%22">Shock & Vibration</searchLink>. 3/10/2026, Vol. 2026, p1-8. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Additive+white+Gaussian+noise%22">Additive white Gaussian noise</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Cumulative+distribution+function%22">Cumulative distribution function</searchLink><br /><searchLink fieldCode="DE" term="%22Root-mean-squares%22">Root-mean-squares</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+oscillators%22">Harmonic oscillators</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper presents a derivation for obtaining additive transient perturbations to Gaussian white noise (GWN) processes that induce any target level of maximum response on linear single‐degree‐of‐freedom oscillators over a time interval of length T. The metric to characterize the perturbation is the L2‐norm, and the metric to characterize the extreme response is the probability of nonexceedance under the action of the GWN process. The paper also presents evidence that the proposed perturbation can also appear spontaneously in realizations of GWN that generate an extreme response in linear systems. This can be interpreted as a distinguishing characteristic of realizations of GWN that induce an extreme response in linear oscillators. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Shock & Vibration is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=192205115 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1155/vib/9411867 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 1 Subjects: – SubjectFull: Additive white Gaussian noise Type: general – SubjectFull: Linear systems Type: general – SubjectFull: Cumulative distribution function Type: general – SubjectFull: Root-mean-squares Type: general – SubjectFull: Harmonic oscillators Type: general Titles: – TitleFull: Transient Perturbations of Gaussian White Noise Processes and Their Effects on the Extreme Response of Mechanical Oscillators. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hernandez, Eric M. – PersonEntity: Name: NameFull: Mucchi, Emiliano IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 03 Text: 3/10/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 10709622 Numbering: – Type: volume Value: 2026 Titles: – TitleFull: Shock & Vibration Type: main |
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