Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose

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XU, Fei ;YANG, Huixian ;AHLIN, Kjell ;CHEN, Zhifeng .
Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose. 
Articles in Press, [S.l.], v. 0, n.0, p. , april 2024. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/kurtosis-control-of-amplitude-modulated-non-gaussian-signal-for-fatigue-test-purpose/>. Date accessed: 18 jul. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2023.908.
Xu, F., Yang, H., Ahlin, K., & Chen, Z.
(0).
Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose.
Articles in Press, 0(0), .
doi:http://dx.doi.org/10.5545/sv-jme.2023.908
@article{sv-jmesv-jme.2023.908,
	author = {Fei  Xu and Huixian  Yang and Kjell  Ahlin and Zhifeng  Chen},
	title = {Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose},
	journal = {Articles in Press},
	volume = {0},
	number = {0},
	year = {0},
	keywords = {This paper is a resubmitted version of paper #838.; },
	abstract = {The amplitude modulation method was used to generate non-Gaussian signals that acted as excitation for fatigue tests. The fatigue life of structures under non-Gaussian excitation has been proven to be closely related to the features of the amplitude modulation signal (AMS) and kurtosis of the structural response. In this study, the modelling of the AMS by Beta and Weibull distributions and the resulting kurtosis range problem is firstly reviewed. To solve this problem, a new method for creating an AMS based on a linear combination of Beta and Weibull distributions is proposed. To ensure that the high kurtosis of the amplitude-modulated non-Gaussian signal is correctly transferred to the structural response, the method is further developed to fulfill the specifications for the fatigue damage spectrum (FDS) by controlling the spectral content of the AMS. Herein, a Gaussian AMS with a low-pass cutoff frequency is firstly generated, and then converted to a Weibull or Beta AMS based on the cumulative distribution function (CDF) transformation. The proposed method is verified using simulated and field measured data. The results show that the full range of specified kurtosis is achieved with the new AMS modelling method. The high kurtosis of the non-Gaussian input signal can be transferred to the linear system response if the mean value of AMS during the period of system impulse response is the same as AMS.},
	issn = {0039-2480},	pages = {},	doi = {10.5545/sv-jme.2023.908},
	url = {https://www.sv-jme.eu/article/kurtosis-control-of-amplitude-modulated-non-gaussian-signal-for-fatigue-test-purpose/}
}
Xu, F.,Yang, H.,Ahlin, K.,Chen, Z.
0 April 0. Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose. Articles in Press. [Online] 0:0
%A Xu, Fei 
%A Yang, Huixian 
%A Ahlin, Kjell 
%A Chen, Zhifeng 
%D 0
%T Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose
%B 0
%9 This paper is a resubmitted version of paper #838.; 
%! Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose
%K This paper is a resubmitted version of paper #838.; 
%X The amplitude modulation method was used to generate non-Gaussian signals that acted as excitation for fatigue tests. The fatigue life of structures under non-Gaussian excitation has been proven to be closely related to the features of the amplitude modulation signal (AMS) and kurtosis of the structural response. In this study, the modelling of the AMS by Beta and Weibull distributions and the resulting kurtosis range problem is firstly reviewed. To solve this problem, a new method for creating an AMS based on a linear combination of Beta and Weibull distributions is proposed. To ensure that the high kurtosis of the amplitude-modulated non-Gaussian signal is correctly transferred to the structural response, the method is further developed to fulfill the specifications for the fatigue damage spectrum (FDS) by controlling the spectral content of the AMS. Herein, a Gaussian AMS with a low-pass cutoff frequency is firstly generated, and then converted to a Weibull or Beta AMS based on the cumulative distribution function (CDF) transformation. The proposed method is verified using simulated and field measured data. The results show that the full range of specified kurtosis is achieved with the new AMS modelling method. The high kurtosis of the non-Gaussian input signal can be transferred to the linear system response if the mean value of AMS during the period of system impulse response is the same as AMS.
%U https://www.sv-jme.eu/article/kurtosis-control-of-amplitude-modulated-non-gaussian-signal-for-fatigue-test-purpose/
%0 Journal Article
%R 10.5545/sv-jme.2023.908
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%P 1
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%@ 0039-2480
%8 2024-04-11
%7 2024-04-11
Xu, Fei, Huixian  Yang, Kjell  Ahlin, & Zhifeng  Chen.
"Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose." Articles in Press [Online], 0.0 (0): . Web.  18 Jul. 2024
TY  - JOUR
AU  - Xu, Fei 
AU  - Yang, Huixian 
AU  - Ahlin, Kjell 
AU  - Chen, Zhifeng 
PY  - 0
TI  - Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose
JF  - Articles in Press
DO  - 10.5545/sv-jme.2023.908
KW  - This paper is a resubmitted version of paper #838.; 
N2  - The amplitude modulation method was used to generate non-Gaussian signals that acted as excitation for fatigue tests. The fatigue life of structures under non-Gaussian excitation has been proven to be closely related to the features of the amplitude modulation signal (AMS) and kurtosis of the structural response. In this study, the modelling of the AMS by Beta and Weibull distributions and the resulting kurtosis range problem is firstly reviewed. To solve this problem, a new method for creating an AMS based on a linear combination of Beta and Weibull distributions is proposed. To ensure that the high kurtosis of the amplitude-modulated non-Gaussian signal is correctly transferred to the structural response, the method is further developed to fulfill the specifications for the fatigue damage spectrum (FDS) by controlling the spectral content of the AMS. Herein, a Gaussian AMS with a low-pass cutoff frequency is firstly generated, and then converted to a Weibull or Beta AMS based on the cumulative distribution function (CDF) transformation. The proposed method is verified using simulated and field measured data. The results show that the full range of specified kurtosis is achieved with the new AMS modelling method. The high kurtosis of the non-Gaussian input signal can be transferred to the linear system response if the mean value of AMS during the period of system impulse response is the same as AMS.
UR  - https://www.sv-jme.eu/article/kurtosis-control-of-amplitude-modulated-non-gaussian-signal-for-fatigue-test-purpose/
@article{{sv-jme}{sv-jme.2023.908},
	author = {Xu, F., Yang, H., Ahlin, K., Chen, Z.},
	title = {Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose},
	journal = {Articles in Press},
	volume = {0},
	number = {0},
	year = {0},
	doi = {10.5545/sv-jme.2023.908},
	url = {https://www.sv-jme.eu/article/kurtosis-control-of-amplitude-modulated-non-gaussian-signal-for-fatigue-test-purpose/}
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TY  - JOUR
AU  - Xu, Fei 
AU  - Yang, Huixian 
AU  - Ahlin, Kjell 
AU  - Chen, Zhifeng 
PY  - 2024/04/11
TI  - Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose
JF  - Articles in Press; Vol 0, No 0 (0): Articles in Press
DO  - 10.5545/sv-jme.2023.908
KW  - This paper is a resubmitted version of paper #838., 
N2  - The amplitude modulation method was used to generate non-Gaussian signals that acted as excitation for fatigue tests. The fatigue life of structures under non-Gaussian excitation has been proven to be closely related to the features of the amplitude modulation signal (AMS) and kurtosis of the structural response. In this study, the modelling of the AMS by Beta and Weibull distributions and the resulting kurtosis range problem is firstly reviewed. To solve this problem, a new method for creating an AMS based on a linear combination of Beta and Weibull distributions is proposed. To ensure that the high kurtosis of the amplitude-modulated non-Gaussian signal is correctly transferred to the structural response, the method is further developed to fulfill the specifications for the fatigue damage spectrum (FDS) by controlling the spectral content of the AMS. Herein, a Gaussian AMS with a low-pass cutoff frequency is firstly generated, and then converted to a Weibull or Beta AMS based on the cumulative distribution function (CDF) transformation. The proposed method is verified using simulated and field measured data. The results show that the full range of specified kurtosis is achieved with the new AMS modelling method. The high kurtosis of the non-Gaussian input signal can be transferred to the linear system response if the mean value of AMS during the period of system impulse response is the same as AMS.
UR  - https://www.sv-jme.eu/article/kurtosis-control-of-amplitude-modulated-non-gaussian-signal-for-fatigue-test-purpose/
Xu, Fei, Yang, Huixian, Ahlin, Kjell, AND Chen, Zhifeng.
"Kurtosis control of amplitude-modulated non-Gaussian signal for fatigue test purpose" Articles in Press [Online], Volume 0 Number 0 (11 April 2024)

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Paper's information

Articles in Press

https://doi.org/10.5545/sv-jme.2023.908

The amplitude modulation method was used to generate non-Gaussian signals that acted as excitation for fatigue tests. The fatigue life of structures under non-Gaussian excitation has been proven to be closely related to the features of the amplitude modulation signal (AMS) and kurtosis of the structural response. In this study, the modelling of the AMS by Beta and Weibull distributions and the resulting kurtosis range problem is firstly reviewed. To solve this problem, a new method for creating an AMS based on a linear combination of Beta and Weibull distributions is proposed. To ensure that the high kurtosis of the amplitude-modulated non-Gaussian signal is correctly transferred to the structural response, the method is further developed to fulfill the specifications for the fatigue damage spectrum (FDS) by controlling the spectral content of the AMS. Herein, a Gaussian AMS with a low-pass cutoff frequency is firstly generated, and then converted to a Weibull or Beta AMS based on the cumulative distribution function (CDF) transformation. The proposed method is verified using simulated and field measured data. The results show that the full range of specified kurtosis is achieved with the new AMS modelling method. The high kurtosis of the non-Gaussian input signal can be transferred to the linear system response if the mean value of AMS during the period of system impulse response is the same as AMS.

This paper is a resubmitted version of paper #838.;