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| Research on Volume Determination Method of Double Weighing in Air |
| SU Yi1,WANG Yang2,XIONG Zhong-qi1,HAN Yu1 |
1. Shanghai Institute of Mearsurement and Testing Technology,Shanghai 201203,China
2. China National Accreditation Service for Conformity Assessment,Beijing 100062,China |
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Abstract To study the linear change of mass difference and air density difference under two different air densities when comparing the test weight and reference weight, the least square method is used to fit the curve of mass difference and air density difference, and the double weighing in air volume determination method is proposed.Based on the mathematical model and the working principle of the measuring device, three main factors affecting the results are analyzed: the range of atmospheric pressure, the desorption of the weight surface and the mass comparator. Taking the 10g~1kg OIML stainless steel weight as an example, the volume determined by this method is compared with the result of the hydrostatic method, and the normalized error En is less than one.
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Received: 09 January 2020
Published: 08 December 2020
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［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］Ueki M, Sun J X, Ueda K. Performance Evaluation of a Mass Comparator with a readability of 0.1μg［C］// SICE Annual Conference, 2010.
［3］Clarkson M T, Davis R S, Sutton C M, et al. Determination of volumes of mass standards by weighings in air ［J］. Metrologia, 2001, 38 (1): 17-25.
［4］Ueki M, Mizushima S, Sun J X, et al. Simultaneous calibration of the mass and the volume of weights in the range from 1kg to 20kg ［C］//Proceedings of the 41st SICE Annual Conference. 2002.
［5］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.
［6］陈超云, 张进明, 任学弟. 固体式密度天平校准系统的设计与实现［J］. 计量学报, 2018, 39 (6): 832-835.
Chen C Y, Zhang J M, Ren X D. Design and Implementation of Solid Density Balance Calibration System ［J］. Acta Metrologica Sinica, 2018, 39 (6): 832-835.
［7］张竟月, 王金涛, 时文才, 等. 液体密度量传中大气压强影响的研究［J］. 计量学报, 2018, 39 (2): 192-196.
Zhang J Y, Wang J T, Shi W C, et al. Study on the Influence of Ambient Pressure on Liquid Density Transmission ［J］. Acta Metrologica Sinica, 2018, 39 (2): 192-196.
［8］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.
［9］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.
［10］王肖磊, 王健, 钟瑞麟, 等. 砝码质量测量中的空气密度测量装置的研究［J］. 计量学报, 2011, 32 (1): 40-43.
Wang X L, Wang J, Zhong R L, et al. Study on Air Density Measurement for Measuring Weights ［J］. Acta Metrologica Sinica, 2011, 32 (1): 40-43.
［11］Malengo A, Bich W. Simultaneous determination of mass and volume of a standard by weighings in air ［J］. Metrologia, 2012, 49 (3): 289-299.
［12］Davis A P, Gleser M, Fujii K. Revised formula for the density of moist air (CIPM-2007) ［J］. Metrologia, 2008, 45 (2): 149-158.
［13］Kobata T, Ooiwa M A, Ishii A. Measurement of the volume of weights using an acoustic volumeter and the reliability of such measurement［J］. Metrologia, 2004, 41 (2): S75-S83.
［14］Tanaka M, Girard G, Davis R, Peuto A, et al. Recommended table for the density of water between 0℃ and 40℃ based on recent experimental reports［J］. Metrologia, 2001, 38 (4): 301-310.
［15］Cox M G. The evaluation of key comparison data［J］. Metrologia, 2002, 39 (6): 589-601. |
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2020, Vol. 41 
