不确定度的计算方法(最新整理)

1、测量结果的正确表达被测量 x 的测量结果应表达为： x = x u (仪仪)表 1 常用函数不确定度合成公式1n = ax by czu=a 2u 2 + b2u 2 + c2u 2nxyz函数表达式合成公式其中 x 是测量值的平均值，u 是不确定度。例如：用最小刻度为 cm 的直尺测量一长度最终结果为：l=(0.7500.005)cm； 测量金属丝杨氏模量的最终结果为：e=(1.150.07)1011pa。1.不确定度的计算方法2n =3n = sin xun = cos x u x注:x y z u n = 2 (u x ) 2 + 2 (uy ) 2 + 2 (u z ) 2xyzn直接

2、测量不确定度的计算方法s 2 + d2仪u =1. 在函数关系是乘除法时,先计算相对不确定度( un )比较方便.例如表中第二行n的公式.2. 不确定度合成公式可以联合使用.其中： s =为标准差；sin u( x - x )2in -1=例如:若 ,令usin ， w3 则 .3wd仪 是仪器误差，一般按仪器最小分度的一半计算，但是游标卡尺和角游标按最小分度计算。也可按仪器级别计算或查表。间接测量不确定度的合成方法根据表中第二行公式,有: u =;(uu )2 + (uw )2uw32u 2(cosu)2+u( )2sin 间接测量 n = f (x, y, z,仪的平均值公式为： n =

3、f (x, y, z,仪 ；根据表中第一行公式,有:uw = 3u ;不确定度合成公式为：un =根据表中第三行公式,有:() u+ () u + () u +ln22n22n22xxyyzz(cosu)2+3u()2sin 3。uu = cos u .也可根据表 1 中的公式计算间接测量的不确定度。所以,u = = “”“”at the end, xiao bian gives you a passage. minand once said, people who learn to learn are very happy people. in every wonderful life, l

4、earning is an eternal theme. as a professional clerical and teaching position, i understand the importance of continuous learning, life is diligent, nothing can be gained, only continuous learning can achieve better self. only by constantly learning and mastering the latest relevant knowledge, can employees from all walks of life keep up with the pace of enterprise development and innovate to meet the needs of the market. this document is also edited by my studio professionals, there may b