FREQUENCY DOMAIN DAMAGE CALCULATION AND EXPERIMENTAL VERIFICATION OF NON-GAUSSIAN EXCITATION BASED ON GMM MODEL (MT)

In order to study the frequency domain calculation method of non-Gaussian excitation, Gaussian mixture model(GMM) is introduced. The measured non-Gaussian excitation is transformed into probabilistic power spectrum(PPSD) through GMM model, so that the non-Gaussian excitation is introduced into the f...

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Main Authors: XU Yang, YANG GuangWu, CHEN KuanYu, XIAO ShouNe
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2023-01-01
Series:Jixie qiangdu
Subjects:
Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.04.027
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author XU Yang
YANG GuangWu
CHEN KuanYu
XIAO ShouNe
author_facet XU Yang
YANG GuangWu
CHEN KuanYu
XIAO ShouNe
author_sort XU Yang
collection DOAJ
description In order to study the frequency domain calculation method of non-Gaussian excitation, Gaussian mixture model(GMM) is introduced. The measured non-Gaussian excitation is transformed into probabilistic power spectrum(PPSD) through GMM model, so that the non-Gaussian excitation is introduced into the frequency domain. The corresponding non-Gaussian rain flow distribution is obtained by simulation and GMM-Dirlik model, and the damage of the specimen is calculated. At the same time, according to the Gaussian hypothesis, the excitation is directly converted into PSD for damage calculation. Then, the bench test is carried out to obtain the stress response of the specimen, the rain flow distribution in the stress range is obtained by rain flow counting, and the damage of the specimen is calculated. After comparing the test results with the simulation results, it is found that the relative error between the results obtained by GMM-Dirlik model and the test is 10.8%, while the relative error between the results obtained by Gaussian hypothesis and the test is large, which is 45.3%, which further explains the risk of non-Gaussian excitation damage evaluated by Gaussian hypothesis. Finally, the difference between non-Gaussian excitation and Gaussian distribution probability density function is compared to explain the concave phenomenon of measured stress rain flow distribution at the middle stress level and the reason why the damage of non-Gaussian excitation is larger than that of Gaussian excitation.
format Article
id doaj-art-b05b9e9697924a84a6279151db4d4c34
institution Kabale University
issn 1001-9669
language zho
publishDate 2023-01-01
publisher Editorial Office of Journal of Mechanical Strength
record_format Article
series Jixie qiangdu
spelling doaj-art-b05b9e9697924a84a6279151db4d4c342025-01-15T02:41:09ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692023-01-0195596142278179FREQUENCY DOMAIN DAMAGE CALCULATION AND EXPERIMENTAL VERIFICATION OF NON-GAUSSIAN EXCITATION BASED ON GMM MODEL (MT)XU YangYANG GuangWuCHEN KuanYuXIAO ShouNeIn order to study the frequency domain calculation method of non-Gaussian excitation, Gaussian mixture model(GMM) is introduced. The measured non-Gaussian excitation is transformed into probabilistic power spectrum(PPSD) through GMM model, so that the non-Gaussian excitation is introduced into the frequency domain. The corresponding non-Gaussian rain flow distribution is obtained by simulation and GMM-Dirlik model, and the damage of the specimen is calculated. At the same time, according to the Gaussian hypothesis, the excitation is directly converted into PSD for damage calculation. Then, the bench test is carried out to obtain the stress response of the specimen, the rain flow distribution in the stress range is obtained by rain flow counting, and the damage of the specimen is calculated. After comparing the test results with the simulation results, it is found that the relative error between the results obtained by GMM-Dirlik model and the test is 10.8%, while the relative error between the results obtained by Gaussian hypothesis and the test is large, which is 45.3%, which further explains the risk of non-Gaussian excitation damage evaluated by Gaussian hypothesis. Finally, the difference between non-Gaussian excitation and Gaussian distribution probability density function is compared to explain the concave phenomenon of measured stress rain flow distribution at the middle stress level and the reason why the damage of non-Gaussian excitation is larger than that of Gaussian excitation.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.04.027Gaussian mixture modelNon-Gaussian excitationFrequency domain calculationRandom vibration
spellingShingle XU Yang
YANG GuangWu
CHEN KuanYu
XIAO ShouNe
FREQUENCY DOMAIN DAMAGE CALCULATION AND EXPERIMENTAL VERIFICATION OF NON-GAUSSIAN EXCITATION BASED ON GMM MODEL (MT)
Jixie qiangdu
Gaussian mixture model
Non-Gaussian excitation
Frequency domain calculation
Random vibration
title FREQUENCY DOMAIN DAMAGE CALCULATION AND EXPERIMENTAL VERIFICATION OF NON-GAUSSIAN EXCITATION BASED ON GMM MODEL (MT)
title_full FREQUENCY DOMAIN DAMAGE CALCULATION AND EXPERIMENTAL VERIFICATION OF NON-GAUSSIAN EXCITATION BASED ON GMM MODEL (MT)
title_fullStr FREQUENCY DOMAIN DAMAGE CALCULATION AND EXPERIMENTAL VERIFICATION OF NON-GAUSSIAN EXCITATION BASED ON GMM MODEL (MT)
title_full_unstemmed FREQUENCY DOMAIN DAMAGE CALCULATION AND EXPERIMENTAL VERIFICATION OF NON-GAUSSIAN EXCITATION BASED ON GMM MODEL (MT)
title_short FREQUENCY DOMAIN DAMAGE CALCULATION AND EXPERIMENTAL VERIFICATION OF NON-GAUSSIAN EXCITATION BASED ON GMM MODEL (MT)
title_sort frequency domain damage calculation and experimental verification of non gaussian excitation based on gmm model mt
topic Gaussian mixture model
Non-Gaussian excitation
Frequency domain calculation
Random vibration
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.04.027
work_keys_str_mv AT xuyang frequencydomaindamagecalculationandexperimentalverificationofnongaussianexcitationbasedongmmmodelmt
AT yangguangwu frequencydomaindamagecalculationandexperimentalverificationofnongaussianexcitationbasedongmmmodelmt
AT chenkuanyu frequencydomaindamagecalculationandexperimentalverificationofnongaussianexcitationbasedongmmmodelmt
AT xiaoshoune frequencydomaindamagecalculationandexperimentalverificationofnongaussianexcitationbasedongmmmodelmt