A reconstruction method for road spectrum with symmetric Weibull dstribution possessing specified PSD and kurtosis

CONG Nan 1,2 CHEN Junda 1 REN Yanxi 1 WANG Binxing 1 LI Qingxia 1

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (2) : 1-5.

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (2) : 1-5.

A reconstruction method for road spectrum with symmetric Weibull dstribution possessing specified PSD and kurtosis

  • CONG Nan 1,2  CHEN Junda 1  REN Yanxi 1  WANG Binxing 1  LI Qingxia 1
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Abstract

The present methods using PSD to reconstruct road spectra can only be used to generate Gaussian road spectra. The lower tail thickness leads to Gaussian PSD curves are difficult to accurately describe those grim roads with severe road surface fluctuations. According to high-order moment characteristics of Weibull distribution, the method for calculating parameters of Weibull distribution possessing specified kurtosis was derived. Then, based on ZMNL method, a new method using Gaussian white noise to generate stochastic variables with symmetric Weibull distribution possessing specified PSD and kurtosis was proposed. With this method, several road spectra with varying severity were generated through specifying different kurtoses under the premise of keeping the same PSD function/curve. The correctness and validity of this new method were verified by applying it to reconstruct the road spectrum for a certain road whose reliability was tested. The results provided a new non-Gaussian road modeling method for road and vehicle riding simulation tests.
 

Key words

 road spectrum / symmetric Weibull distribution / non-Gaussian random vibration / power spectral density (PSD) / kurtosis

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CONG Nan 1,2 CHEN Junda 1 REN Yanxi 1 WANG Binxing 1 LI Qingxia 1. A reconstruction method for road spectrum with symmetric Weibull dstribution possessing specified PSD and kurtosis[J]. Journal of Vibration and Shock, 2018, 37(2): 1-5

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