APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM
APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM
APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM
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Revisi<strong>on</strong>: <str<strong>on</strong>g>Final</str<strong>on</strong>g> <str<strong>on</strong>g>Report</str<strong>on</strong>g><br />
Date: May 25, 2012<br />
<str<strong>on</strong>g>Report</str<strong>on</strong>g> Form 4 Uncertainty budget of measurement Page 5/5<br />
Uncertainty budget for<br />
35 HRA<br />
No Quantity<br />
Estimated<br />
valus<br />
Unit<br />
Stadard<br />
uncertatinty<br />
Sensitivity<br />
coefficient<br />
Uncertainty<br />
c<strong>on</strong>tributi<strong>on</strong><br />
i<br />
X i x i ux<br />
<br />
C i u i (H )<br />
1 Preliminary test force 0.09 N 0.05 0.2272 0.0121<br />
2 Total test force 0.16 N 0.09 -0.09165 -0.0085<br />
3 Permanent depth of indentati<strong>on</strong> 0.2 ㎛ 0.12 -0.5 -0.0577<br />
4 Preliminary test force dwell time 0.5 s 0.29 0.0489 0.0141<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 -0.01015 -0.0352<br />
6 Total test force dwell time 0.5 s 0.29 -0.106 -0.0306<br />
7 indenter angle 0.04 ° 0.02 0.18 0.0042<br />
8 Indenter radius 3.1 ㎛ 1.79 0.058 0.1038<br />
9 Deformati<strong>on</strong> of frame 0.2 ㎛ 0.12 0.5 0.0577<br />
10<br />
L<strong>on</strong>g-term stability of primary<br />
hardness testing machine<br />
0.24 HRA 0.14 1<br />
0.1386<br />
11 Combined uncertainty(HRA) 0.198<br />
12 Expanded uncertainty(HRA), k=2 0.40<br />
Uncertainty budget for<br />
40 HRA<br />
No Quantity<br />
Estimated<br />
valus<br />
Unit<br />
Stadard<br />
uncertatinty<br />
Sensitivity<br />
coefficient<br />
Uncertainty<br />
c<strong>on</strong>tributi<strong>on</strong><br />
X i x i<br />
xi<br />
ux<br />
<br />
C i u i (H )<br />
1 Preliminary test force 0.09 N 0.05 0.2086 0.0111<br />
2 Total test force 0.16 N 0.09 -0.0848 -0.0078<br />
3 Permanent depth of indentati<strong>on</strong> 0.2 ㎛ 0.12 -0.5 -0.0577<br />
4 Preliminary test force dwell time 0.5 s 0.29 0.0434 0.0125<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 -0.0084 -0.0291<br />
6 Total test force dwell time 0.5 s 0.29 -0.098 -0.0283<br />
7 indenter angle 0.04 ° 0.02 0.18 0.0042<br />
8 Indenter radius 3.1 ㎛ 1.79 0.058 0.1038<br />
9 Deformati<strong>on</strong> of frame 0.2 ㎛ 0.12 0.5 0.0577<br />
10<br />
L<strong>on</strong>g-term stability of primary<br />
hardness testing machine<br />
0.24 HRA 0.14 1<br />
0.1386<br />
11 Combined uncertainty(HRA) 0.197<br />
12 Expanded uncertainty(HRA), k=2 0.39<br />
Uncertainty budget for<br />
55 HRA<br />
No Quantity<br />
Estimated<br />
valus<br />
Unit<br />
Stadard<br />
uncertatinty<br />
Sensitivity<br />
coefficient<br />
Uncertainty<br />
c<strong>on</strong>tributi<strong>on</strong><br />
X i x i<br />
xi<br />
ux<br />
<br />
C i u i (H )<br />
1 Preliminary test force 0.09 N 0.05 0.1528 0.0081<br />
2 Total test force 0.16 N 0.09 -0.06425 -0.0059<br />
3 Permanent depth of indentati<strong>on</strong> 0.2 ㎛ 0.12 -0.5 -0.0577<br />
4 Preliminary test force dwell time 0.5 s 0.29 0.0269 0.0078<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 -0.00315 -0.0109<br />
6 Total test force dwell time 0.5 s 0.29 -0.074 -0.0214<br />
7 indenter angle 0.04 ° 0.02 0.18 0.0042<br />
8 Indenter radius 3.1 ㎛ 1.79 0.058 0.1038<br />
9 Deformati<strong>on</strong> of frame 0.2 ㎛ 0.12 0.5 0.0577<br />
10<br />
L<strong>on</strong>g-term stability of primary<br />
hardness testing machine<br />
0.24 HRA 0.14 1<br />
0.1386<br />
11 Combined uncertainty(HRA) 0.193<br />
12 Expanded uncertainty(HRA), k=2 0.39<br />
i<br />
i<br />
i<br />
x<br />
3<br />
3<br />
3<br />
Page 55 of 77
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