Kurtosis Control of Amplitude-Modulated non-Gaussian Signals for Fatigue Test

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XU, Fei ;YANG, Huixian ;AHLIN, Kjell ;CHEN, Zhifeng .
Kurtosis Control of Amplitude-Modulated non-Gaussian Signals for Fatigue Test. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 70, n.9-10, p. 440-451, 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: 11 dec. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2023.908.
Xu, F., Yang, H., Ahlin, K., & Chen, Z.
(2024).
Kurtosis Control of Amplitude-Modulated non-Gaussian Signals for Fatigue Test.
Strojniški vestnik - Journal of Mechanical Engineering, 70(9-10), 440-451.
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 Signals for Fatigue Test},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {70},
	number = {9-10},
	year = {2024},
	keywords = {non-Gaussian; amplitude modulation method; fatigue damage spectrum; kurtosis; },
	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 first 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 fulfil 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 first 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 the system impulse response is the same as AMS.},
	issn = {0039-2480},	pages = {440-451},	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.
2024 April 70. Kurtosis Control of Amplitude-Modulated non-Gaussian Signals for Fatigue Test. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 70:9-10
%A Xu, Fei 
%A Yang, Huixian 
%A Ahlin, Kjell 
%A Chen, Zhifeng 
%D 2024
%T Kurtosis Control of Amplitude-Modulated non-Gaussian Signals for Fatigue Test
%B 2024
%9 non-Gaussian; amplitude modulation method; fatigue damage spectrum; kurtosis; 
%! Kurtosis Control of Amplitude-Modulated non-Gaussian Signals for Fatigue Test
%K non-Gaussian; amplitude modulation method; fatigue damage spectrum; kurtosis; 
%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 first 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 fulfil 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 first 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 the 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
%& 440
%P 12
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 70
%N 9-10
%@ 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 Signals for Fatigue Test." Strojniški vestnik - Journal of Mechanical Engineering [Online], 70.9-10 (2024): 440-451. Web.  11 Dec. 2024
TY  - JOUR
AU  - Xu, Fei 
AU  - Yang, Huixian 
AU  - Ahlin, Kjell 
AU  - Chen, Zhifeng 
PY  - 2024
TI  - Kurtosis Control of Amplitude-Modulated non-Gaussian Signals for Fatigue Test
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2023.908
KW  - non-Gaussian; amplitude modulation method; fatigue damage spectrum; kurtosis; 
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 first 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 fulfil 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 first 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 the 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 Signals for Fatigue Test},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {70},
	number = {9-10},
	year = {2024},
	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/}
}
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 Signals for Fatigue Test
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 70, No 9-10 (2024): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2023.908
KW  - non-Gaussian, amplitude modulation method, fatigue damage spectrum, kurtosis, 
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 first 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 fulfil 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 first 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 the 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 Signals for Fatigue Test" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 70 Number 9-10 (11 April 2024)

Authors

Affiliations

  • Yancheng Institute of Technology, China 1
  • Xielalin Consulting, Sweden 2

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 70(2024)9-10, 440-451
© The Authors 2024. CC BY 4.0 Int.

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 first 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 fulfil 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 first 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 the system impulse response is the same as AMS.

non-Gaussian; amplitude modulation method; fatigue damage spectrum; kurtosis;