圆柱体体积测量不确定度计算的探究

doi:10.3969/j.issn.1000-1158.2018.z1.11

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摘要根据国家标准规定的间接测量量不确定度的合成过程,推导了由底面直径和高度的测量值计算获得的圆柱体体积的不确定度计算公式,推导得出的圆柱体体积不确定度的自由度计算公式比费业泰主编的《误差理论与数据处理(第6版)》的计算公式中的分母少1个测微仪示值误差的相关项。经分析,测量高度和直径时所产生的示值误差属于随机误差,并不相关。因此,在计算圆柱体体积不确定度的自由度时,不应引入测微仪的示值误差对高度和直径测量的相关项。

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	屈玉福
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	左思然
	胡勇波
	钱政

关键词 ：计量学, 不确定度, 自由度, 间接测量, 圆柱体体积

Abstract：According to the synthetic process of the indirect measurement uncertainty of the national standard, the formula for calculating the uncertainty of the cylinder volume calculated from the measured values of the diameter and height of the bottom surface is derived. The degree of freedom calculated of the volume of the cylinder with derived formula less a relevant item about indication error of the micrometer in the denominator in the formula of degrees of freedom than Error Theory and Data Processing (6th Edition) edited by Fei Yetai. After analysis, the indication error of the micrometer is a random error in measuring height and diameter of the cylinder, it is not relevant. Therefore, in calculating the degree of freedom of the cylinder volume uncertainty, the relevant items on indication error of the micrometer should not be introduced to the calculation formula of degree of freedom of uncertainty.

Key words： metrology uncertainty degree of freedom indirect measurement volume of the cylinder

PACS:

TB92

基金资助:国家自然科学基金(51675033)

作者简介: 屈玉福(1976-), 男, 陕西靖边人, 北京航空航天大学副教授, 主要从事高精度视觉检测技术和计算成像技术方面的研究。qyf@buaa.edu.cn

引用本文:

屈玉福,王中宇,左思然,胡勇波,钱政. 圆柱体体积测量不确定度计算的探究[J]. 计量学报, 2018, 39(6A): 53-.
QU Yu-fu,WANG Zhong-yu,ZUO Si-ran,HU Yong-bo,QIAN Zheng. Question on Calculation of Uncertainty in Measurement of Cylinder Volume. Acta Metrologica Sinica, 2018, 39(6A): 53-.

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