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
1.School of Measurement and Testing Engineering, China Jiliang University, Hangzhou, Zhejiang 310018, China
2.School of Instrumentation Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China
3.Changcheng Institute of Metrology & Measurement, Beijing 100095, China
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.
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.
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. Acta Metrologica Sinica, 2020, 41(4): 448-454.
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,
2020, Vol. 41 
