基于蒙特卡罗法的冲击力溯源系统不确定度评定

江文松, 王中宇, 罗哉, 张力, 胡晓峰

计量学报 ›› 2020, Vol. 41 ›› Issue (4) : 448-454.

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计量学报 ›› 2020, Vol. 41 ›› Issue (4) : 448-454. DOI: 10.3969/j.issn.1000-1158.2020.04.010
力学计量

基于蒙特卡罗法的冲击力溯源系统不确定度评定

  • 江文松1,2, 王中宇2, 罗哉1, 张力3, 胡晓峰1
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Uncertainty Evaluation on the Traceable Measurement System ofthe Impact Force Based on a Monte Carlo Method

  • JIANG Wen-song1,2, WANG Zhong-yu2, LUO Zai1, ZHANG Li3, HU Xiao-feng1
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摘要

利用蒙特卡罗方法对多变量的冲击力溯源系统进行不确定性量化评定。该方法首先建立冲击力溯源系统各不确定变量的表征模型;再根据抽样空间相邻迭代解的误差限,建立样本量的适应度函数;最后利用适应度函数使冲击力测量模型的输入变量最佳逼近总体分布。为了验证该方法的有效性,利用该方法对冲击力溯源系统进行不确定度评定,评定结果表明,在95%的置信水平上,冲击力溯源系统的相对扩展不确定度优于0.818%,其不确定性主要来源于落锤上表面加速度分布不均匀和横向偏摆。

Abstract

A Monte Carlo method (MCM) is applied to evaluate the uncertainty of a traceable measurement system of the impact force with multi-component characteristics. First, the uncertainty components are represented by analyzing its error generation principles. Second, the relative error of adjacent solutions are applied to build the fitness function of the sample size. Third, the inputs of the traceable measurement system can approximate the population distribution by dynamic regulating the sample size of the MCM. The MCM is verified by applying its model to a traceable measurement system of the impact force. The experimental result shows that the relative expansion uncertainty is 0.818% with 95% degree of confidence. It reveals that both the inhomogeneous distribution of acceleration and the lateral oscillations on the hammer are the main uncertainties of this system.

关键词

计量学 / 冲击力溯源 / 不确定度评定 / 蒙特卡罗法 / 适应度函数

Key words

metrology / traceable measurement of impact force / uncertainty evaluation / Monte Carlo method / fitness function

引用本文

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江文松, 王中宇, 罗哉, 张力, 胡晓峰. 基于蒙特卡罗法的冲击力溯源系统不确定度评定[J]. 计量学报. 2020, 41(4): 448-454 https://doi.org/10.3969/j.issn.1000-1158.2020.04.010
JIANG Wen-song, WANG Zhong-yu, LUO Zai, ZHANG Li, HU Xiao-feng. Uncertainty Evaluation on the Traceable Measurement System ofthe Impact Force Based on a Monte Carlo Method[J]. Acta Metrologica Sinica. 2020, 41(4): 448-454 https://doi.org/10.3969/j.issn.1000-1158.2020.04.010
中图分类号: TB936   

参考文献

1 VlajicN, ChijiokeA. Traceable dynamic calibration of force transducers by primary means [J]. Metrologia, 2016, 53(4): 136-148.
2 AdelY, OnurA, MohammedH, et al. Dynamic forces induced by a single pedestrian: a literature review [J]. Applied Mechanics Reviews, 2017, 69(2): 80201-80215.
3 JiangW S, WangZ Y, LüJ. A fractional order accumulate regularization filter for force reconstruction [J]. Mechanical Systems and Signal Processing, 2018,

基金

国家重点研究计划(2018YFF01012006, 2017YFF0206306); 国家自然科学基金(51575032); 浙江省自然科学基金(LQ20E050016); 浙江省重点研究计划(2018C01063)

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