Using the Weibull distribution to characterise road transport vibration levels,Packaging Technology and Science

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Using the Weibull distribution to characterise road transport vibration levels
Packaging Technology and Science ( IF 2.8 ) Pub Date : 2020-04-16 , DOI: 10.1002/pts.2503
Vincent Rouillard ₁ , Matthew James Lamb ₁

Affiliation

This paper reviews the various ways that have been proposed to characterise road transport vehicle vibrations and recommends a new approach to characterise the vibrations levels during a transport journey. Some 47 road vehicle vibration records, obtained from a broad range of conditions, were analysed, and results show that the root‐mean‐square (rms) distribution of the vibrations can be accurately modelled with a reduced version of the three‐parameter Weibull distribution (shape parameter set to 2). This statistical approach to characterising road vehicle vibrations takes into account the random fluctuations in rms levels that occur naturally during a road journey and can be used to classify the severity of RVV. This offers significant improvement on the simplistic mean rms value that has, so far, been the sole parameter to describe vibration levels during transport. The Weibull location parameter represents the low threshold of the rms level in the record (except when xo is less than zero, in which case the low rms threshold is zero), whereas the Weibull range parameter is proportional to the range of rms level. Results also reveal a strong relationship between the rms mean and the sum of the location and scale parameters. In addition, this enables generation of rms distributions from the mean power density spectrum (PDS) alone. The modified (fixed‐shape) Weibull distribution can be used to faithfully describe the entire statistical distribution of the rms level of a journey or transport mode with just two parameters. This new approach can be used in a practical way for quantifying and comparing transport vibration rms levels for design and testing purposes.

中文翻译：

使用Weibull分布表征道路运输的振动水平

本文回顾了表征道路运输车辆振动的各种方法，并提出了一种表征运输过程中振动水平的新方法。分析了从各种条件下获得的约47条道路车辆振动记录，结果表明，使用三参数Weibull分布的简化版本，可以精确地模拟振动的均方根（rms）分布（形状参数设置为2）。表征道路车辆振动的这种统计方法考虑了道路行驶过程中自然发生的均方根值的随机波动，可用于对RVV的严重程度进行分类。到目前为止，这已经大大简化了简单均方根值是描述运输过程中振动水平的唯一参数。Weibull位置参数表示记录中均方根值的下限阈值（xo小于零时除外，在这种情况下，均方根下限为零），而Weibull范围参数与均方根值范围成正比。结果还表明，均方根均值与位置和比例参数总和之间存在很强的关系。另外，这使得仅根据平均功率密度谱（PDS）就能生成均方根分布。修改后的（固定形状）Weibull分布可用于忠实地描述仅使用两个参数的旅程或运输方式的均方根值的整个统计分布。

更新日期：2020-04-16

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