Research on Response Kurtosis Estimation in Linear Structures Subjected to Nonstationary Random Excitation: An Envelope-Based Method

The kurtosis of stress response significantly affects the fatigue failure time of structures under nonstationary excitation, making it a vital parameter for characterizing the study of fatigue damage caused by nonstationary vibrations. However, the existing methods have not yet considered the assess...

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Main Authors: Song Cui, Lei Hong, Liguo Zang
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/vib/9998563
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author Song Cui
Lei Hong
Liguo Zang
author_facet Song Cui
Lei Hong
Liguo Zang
author_sort Song Cui
collection DOAJ
description The kurtosis of stress response significantly affects the fatigue failure time of structures under nonstationary excitation, making it a vital parameter for characterizing the study of fatigue damage caused by nonstationary vibrations. However, the existing methods have not yet considered the assessment of response kurtosis when the structural modal damping is low, which poses a hindrance to the advancement of vibration fatigue acceleration theories. This study focuses on analyzing the envelope characteristics of the response of linear structures under nonstationary excitation produced by the amplitude modulation method. A novel approach is proposed to assess kurtosis by leveraging the envelope curve of the nonstationary signal response. The simulation results demonstrate that the frequency resolution of signal sampling also impacts the response’s kurtosis. The proposed method offers an accurate evaluation and rapid control of response kurtosis in both numerical and experimental examples.
format Article
id doaj-art-a82a51027f624bfd9848199240633052
institution Kabale University
issn 1875-9203
language English
publishDate 2024-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-a82a51027f624bfd98481992406330522025-01-04T00:00:08ZengWileyShock and Vibration1875-92032024-01-01202410.1155/vib/9998563Research on Response Kurtosis Estimation in Linear Structures Subjected to Nonstationary Random Excitation: An Envelope-Based MethodSong Cui0Lei Hong1Liguo Zang2The Faculty of Railway VehiclesThe Faculty of Railway VehiclesThe Faculty of Railway VehiclesThe kurtosis of stress response significantly affects the fatigue failure time of structures under nonstationary excitation, making it a vital parameter for characterizing the study of fatigue damage caused by nonstationary vibrations. However, the existing methods have not yet considered the assessment of response kurtosis when the structural modal damping is low, which poses a hindrance to the advancement of vibration fatigue acceleration theories. This study focuses on analyzing the envelope characteristics of the response of linear structures under nonstationary excitation produced by the amplitude modulation method. A novel approach is proposed to assess kurtosis by leveraging the envelope curve of the nonstationary signal response. The simulation results demonstrate that the frequency resolution of signal sampling also impacts the response’s kurtosis. The proposed method offers an accurate evaluation and rapid control of response kurtosis in both numerical and experimental examples.http://dx.doi.org/10.1155/vib/9998563
spellingShingle Song Cui
Lei Hong
Liguo Zang
Research on Response Kurtosis Estimation in Linear Structures Subjected to Nonstationary Random Excitation: An Envelope-Based Method
Shock and Vibration
title Research on Response Kurtosis Estimation in Linear Structures Subjected to Nonstationary Random Excitation: An Envelope-Based Method
title_full Research on Response Kurtosis Estimation in Linear Structures Subjected to Nonstationary Random Excitation: An Envelope-Based Method
title_fullStr Research on Response Kurtosis Estimation in Linear Structures Subjected to Nonstationary Random Excitation: An Envelope-Based Method
title_full_unstemmed Research on Response Kurtosis Estimation in Linear Structures Subjected to Nonstationary Random Excitation: An Envelope-Based Method
title_short Research on Response Kurtosis Estimation in Linear Structures Subjected to Nonstationary Random Excitation: An Envelope-Based Method
title_sort research on response kurtosis estimation in linear structures subjected to nonstationary random excitation an envelope based method
url http://dx.doi.org/10.1155/vib/9998563
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AT leihong researchonresponsekurtosisestimationinlinearstructuressubjectedtononstationaryrandomexcitationanenvelopebasedmethod
AT liguozang researchonresponsekurtosisestimationinlinearstructuressubjectedtononstationaryrandomexcitationanenvelopebasedmethod