Study on Extrapolation Method of Load Spectrum with Extremum Exceedances Subjected to GPD

doi:10.3969/j.issn.1004-132X.2020.18.015

Abstract

Abstract: The load spectrum extrapolation method with extremum exceedances subjected to GPD was proposed. The proposed method was applied to the extrapolation of automotive customer typical road load spectrum. And the GPD functions with shape parameters of zero and non-zero were fitted respectively. The influences of distribution functions of different shape parameters on the extrapolation results of load spectrum were compared and analyzed. Load spectrum before and after extrapolation, as well as the acquisition load spectrum, were compared in amplitude domain and frequency domain. The results show that load spectrum extrapolation method by using GPD with zero shape parameter may obtain a conservative result. However, non-zero shape parameter GPD applied in the extrapolation method may get a extrapolate load spectrum with larger amplitude than the acquisition load spectrum.

Key words: exceedance, load spectrum, generalized Pareto distribution(GPD), shape parameter

摘要： 提出了极值超出量服从广义Pareto分布的载荷谱外推方法。将所提方法运用到汽车用户典型路面载荷谱的外推中，分别拟合了形状参数为零和不为零的广义Pareto分布函数，对比分析了不同形状参数的分布函数对载荷谱外推结果的影响。将外推前后的载荷谱、采集载荷谱分别从幅值域和频率域进行了对比分析，研究结果表明：基于广义Pareto分布函数形状参数为零的载荷谱外推方法可得到偏于保守的外推结果；基于广义Pareto分布函数形状参数不为零的外推方法得到的外推载荷谱幅值比采集载荷谱幅值偏大。

关键词: 超出量, 载荷谱, 广义Pareto分布, 形状参数

CLC Number:

TH16

ZHENG Guofeng1,2；ZHU Hongguo1；WU Chenbo1；XIAO Pan1,2. Study on Extrapolation Method of Load Spectrum with Extremum Exceedances Subjected to GPD[J]. China Mechanical Engineering, DOI: 10.3969/j.issn.1004-132X.2020.18.015.

郑国峰1,2；朱红国1；伍晨波1；肖攀1,2. 极值超出量服从广义Pareto分布的载荷谱外推方法研究[J]. 中国机械工程, DOI: 10.3969/j.issn.1004-132X.2020.18.015.

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