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Uncertainty Analysis of Center-of-Mass Measurement Methods for the Mass Standard
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摘要: 高准确度质量测量时需要修正由于被测砝码与标准砝码质心高度差引入的质量差值，因此需要测量质量标准的质心高度。质心高度可通过将质量标准按不同朝向放置在称量桥的不同位置，根据质量测量仪器的示值变化计算得到。研究了2种质心高度测量方法的不确定度评定，分析了各不确定度来源，给出了不确定度评估方法，并结合实例进行了讨论。Abstract: Highly accurate mass measurements require correction of mass differences introduced by the difference in center-of-mass height between the measured weight and the reference weight and therefore require measurement of the center-of-mass height of the mass standard. The center-of-mass height can be obtained by placing the mass standard in different positions on the weighing bridge with different orientations and calculating the change in the indicated value of the mass measurement instrument. In this paper, the uncertainty assessment of the 2 center-of-mass height measurement methods is studied, the source of each uncertainty is analyzed, the uncertainty evaluation method is given and discussed in conjunction with examples.
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Key words:
- mass standard /
- center of mass /
- weighing bridge /
- uncertainty /
- mass measurement
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图 1 方法1砝码质心测量原理图
Figure 1. Schematic view of the first method to detect the center of mass
图 2 方法2砝码质心测量原理图
Figure 2. Schematic view of the second method to detect the center of mass
表 1 方法1不确定度分析汇总
Table 1. Uncertainty analysis summary of the first method
影响量 c u cu/mm L 0.231 0.1 mm 0.023 m0 0.041 mm/g 0.0003 g 1.1×10−5 Δm1 0.076 mm/g 0.712 g 0.054 hΔ 1 0.1 mm 0.1 u(h)/mm 0.12 
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表 2 方法2不确定度分析汇总
Table 2. Uncertainty analysis summary of the second method
影响量 c u cu/mm H 0.5004 0.1 mm 0.050 m0 −5.7×10−5 mm/g 0.0003 g −1.5×10−8 Δm1 0.038 mm/g 0.854 g 0.027 Δm2 −0.038 mm/g 1.172 g −0.038 hΔ 0.0008 0.1 mm 8×10−5 u(h)/mm 0.07
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