Experimental study on non-Gaussian dynamic responses of a single-DOF linear-system subjected to Gaussian-velocity turbulence

ZHAO Qiming1,SHI Shaoqing1,YANG Chaoshan1,ZHANG Peng2

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (2) : 9-15.

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (2) : 9-15.

Experimental study on non-Gaussian dynamic responses of a single-DOF linear-system subjected to Gaussian-velocity turbulence

  • ZHAO Qiming1,SHI Shaoqing1,YANG Chaoshan1,ZHANG Peng2
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Abstract

For linear elastic structures subjected to the fluctuating pressure of Gaussian-velocity turbulence, such as wind, dynamic responses or behaviors of the structures will show non-Gaussian distribution due to the quadratic term of fluctuating velocity theoretically.An experiment research on the dynamic responses and non-Gaussian characteristics of a single-degree-of-freedom(SDOF) linear elastic model subjected to Gaussian-velocity turbulence with different turbulence intensity was carried out.The non-Gaussian acceleration responses of the linear SDOF model as well as its correlation with turbulence intensity were analyzed.Finally, three approximation models with non-Gaussian probability density function(PDF) were discussed.The experiment results indicate that the acceleration responses of the SDOF model are of non-Gaussian distribution with high kurtosis of the PDF.With the increase of turbulence intensity, the kurtosis of non-Gaussian PDF will be magnified.The results also show that the Gaussian mixture model is much more valid for approximating non-Gaussian PDF compared to the Gram-Charlier series or Edgeworth series.

Key words

dynamic behavior / non-Gaussian / single degree-of-freedom(SDOF) linear system / vibration test

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ZHAO Qiming1,SHI Shaoqing1,YANG Chaoshan1,ZHANG Peng2. Experimental study on non-Gaussian dynamic responses of a single-DOF linear-system subjected to Gaussian-velocity turbulence[J]. Journal of Vibration and Shock, 2020, 39(2): 9-15

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