空气中双称重法砝码体积测量方法实验研究

苏祎; 熊忠琪; 郑晓兰; 程丽苑

doi:10.3969/j.issn.1000-1158.2024.08.13

PDF(630 KB)

计量学报 ›› 2024, Vol. 45 ›› Issue (8) : 1177-1183. DOI: 10.3969/j.issn.1000-1158.2024.08.13

力学计量

空气中双称重法砝码体积测量方法实验研究

苏祎¹,熊忠琪¹,郑晓兰²,程丽苑¹

作者信息 +

Experimental Study on Volume Determination of Weights by Double Weighting in Air Method

SU Yi¹,XIONG Zhongqi¹,ZHENG Xiaolan²,CHENG Liyuan¹

Author information +

文章历史 +

摘要

以质量1g~5 kg的标准砝码为对象,开展了空气中双称重法和静水力学法砝码体积测量比对实验研究。提出一种辅助砝码盘的砝码体积测量方法,解决了1~5g小砝码体积测量不能直接加载到秤盘上的问题。利用Monte Carlo法评定了砝码体积测量的不确定度,结果发现双称重法和静水力学法测得的砝码体积及其不确定度一致性很好,砝码标称质量在1g~1kg之间时砝码体积相对不确定度随着标称质量增加而减小,质量超过1kg时相对不确定度随着标称质量增加而增加。

Abstract

A comparative experimental study was conducted on the volume determination of standard weights with a mass of 1g~5kg, using the double weighing in air method and the hydrostatic method. A method for measuring the volume of auxiliary weight plates was proposed, which solved the problem of small weights ranging from 1g to 5g that cannot be directly loaded onto the scale plate. The uncertainty of weight volume measurement was evaluated by Monte Carlo method, and it was found that the consistency of the weight volume and its uncertainty measured by the double weighing method and hydrostatic method was very good, and the relative uncertainty of the weight volume decreased with the increase of the nominal mass when the nominal mass of the weights was 1g~1kg, and increased with the increase of the nominal mass when the mass was more than 1kg.

导出引用

苏祎,熊忠琪,郑晓兰,程丽苑. 空气中双称重法砝码体积测量方法实验研究[J]. 计量学报. 2024, 45(8): 1177-1183 https://doi.org/10.3969/j.issn.1000-1158.2024.08.13

SU Yi,XIONG Zhongqi,ZHENG Xiaolan,CHENG Liyuan. Experimental Study on Volume Determination of Weights by Double Weighting in Air Method[J]. Acta Metrologica Sinica. 2024, 45(8): 1177-1183 https://doi.org/10.3969/j.issn.1000-1158.2024.08.13

中图分类号： TB932

参考文献

［1］International Organization of Legal Metrology. Weights of classes E1, E2, F1, F2, M1,M1-2,M2,M2-3 and M3 Part1: Metrological and technical requirements: OIML R 111-1 Weights ［S］. 2004.
［2］砝码检定规程:JJG 99-2022［S］. 北京:中国标准出版社.
［3］SEAH M P, QIU J H, CUMPSON P J, et al. Stability of Reference Masses II: The effect of environment and cleaning methods on the surfaces of stainless steel and allied aterials ［J］. Metrologia, 1994, 31 (2): 93-108.
［4］ANGELINI E, BIANCO P, PLASSA M. Instability of Stainless Steel Reference Weights Due to Corrosion Phenomena ［J］. Corrosion Science, 1998, 40(7):1139-1148.
［5］NAOKI K, YASUSHI A, HAJIME I, et al. volume measurements of 28Si-enriched spheres using an improved optical interferometer for the determination of the Avogadro constant ［J］. Metrologia, 2017, 54 (2): 193-203.
［6］王晶, 黄爱军, 张婉洁. 砝码体积测量方法综述［J］. 制造业自动化, 2017, 39 (10): 65-69.
WANG J, HUANG A J, ZHANG W J. Review of weight volume measurement ［J］. Manufacturing Automation, 2017, 39 (10): 65-69.
［7］胡满红, 王健, 张跃, 等. 基于声学原理的砝码体积测量方法研究［J］. 仪器仪表学报, 2012, 33 (10): 179-184.
HU M H, WANG J, ZHANG Y, et al. Experimental research on volume measurement method of weights based on acoustic principle ［J］. Chinese Journal of Scientific Instrument, 2012, 33 (10): 179-184.
［8］苏祎, 王阳, 熊忠琪, 等. 空气中双称量法砝码体积测量方法的研究［J］. 计量学报, 2020, 41 (12): 1500-1504.
SU Y, WANG Y, XIONG Z Q, et al. Research on Volume Determination Method of Double Weighing in Air ［J］. Acta Metrologica Sinica, 2020, 41 (12): 1500-1504.
［9］SU Y. Research on the accuracy of the volume determination of weights with double-weighing in air method ［J］. Measurement, 2022, 187: 110346.
［10］TANAKA M, GIRARD G, DAVIS R, et al. Recommended table for the density of water between 0℃ and 40℃ based on recent experimental reports ［J］. Metrologia, 2003, 38 (4): 301-308.
［11］PICARD A, DAVIS R S, GLASER M, et al. Revised formula for the density of moist air (CIPM-2007) ［J］. Metrologia, 2008, 45 (2): 149-151.
［12］滕忠斌,宋明哲,王红玉,等. 90Sr/90Y放射源及外推电离室蒙特卡罗模型建立与实验验证［J］. 计量学报, 2022, 43 (11): 1512-1517.
TENG Z B,SONG M Z,WANG H Y, et al.The Monte Carlo Modeling and Experimental Verification of the 90Sr/90Y Source and the Extrapolation Chamber［J］. Acta Metrologica Sinica, 2022, 43 (11): 1512-1517.
［12］李德红, 黄建微, 沙比哈·吐尔逊, 等. g因子的蒙特卡罗模拟计算［J］. 计量学报, 2019, 40 (5): 920-923.
LI D H,HUANG J W,SHABIHA T, et al.Monte Carlo Simulation Method for g Factor ［J］. Acta Metrologica Sinica, 2019, 40 (5): 920-923.
［13］韩志, 王健, 罗哉. 质量基准量值传递过程中空气浮力影响的研究［J］. 计量学报, 2018, 39 (2): 151-154.
HAN Z, WANG J, LUO Z. Study on the Influence of Air Buoyancy for the Dissemination Based on Mass Primary Standard ［J］. Acta Metrologica Sinica, 2018, 39 (2): 151-154.
［14］SU Y, FU Y X, XIONG Z Q. Uncertainty estimation of the subdivision method of calibration results on an automatic mass comparator［C］//Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019).［2023-09-27］. DOI:10.2991/masta-19.2019.46.
［15］MALENGO A, BICH W. Simultaneous determination of mass and volume of a standard by weighings in air ［J］. Metrologia, 2012, 49 (3): 289-293.
［16］WANG J, FUCHS P, RUSSI S, et al. Uncertainty Evaluation for a System of Weighing Equations for the Determination of Microgram Weights ［J］. IEEE Transactions on Instrumentation & Measurement, 2015, 64 (8): 2272-2279.