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 />
Uncertainty budget for<br />
60 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 0.1342 0.0071<br />
2 Total test force 0.16 N 0.09 -0.0574 -0.0053<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 0.0214 0.0062<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 -0.0014 -0.0048<br />
6 Total test force dwell time 0.5 s 0.29 -0.066 -0.0191<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 />
0.23 HRA 0.13 1<br />
0.1328<br />
11 Combined uncertainty(HRA) 0.189<br />
12 Expanded uncertainty(HRA), k=2 0.38<br />
Uncertainty budget for<br />
70 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 0.097 0.0052<br />
2 Total test force 0.16 N 0.09 -0.0437 -0.0040<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 0.0104 0.0030<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 0.0021 0.0073<br />
6 Total test force dwell time 0.5 s 0.29 -0.05 -0.0144<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 />
0.23 HRA 0.13 1<br />
0.1328<br />
11 Combined uncertainty(HRA) 0.188<br />
12 Expanded uncertainty(HRA), k=2 0.38<br />
Uncertainty budget for<br />
80 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 0.0598 0.0032<br />
2 Total test force 0.16 N 0.09 -0.03 -0.0028<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 -0.0006 -0.0002<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 0.0056 0.0194<br />
6 Total test force dwell time 0.5 s 0.29 -0.034 -0.0098<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 />
0.20 HRA 0.12 1<br />
0.1155<br />
11 Combined uncertainty(HRA) 0.177<br />
12 Expanded uncertainty(HRA), k=2 0.35<br />
i<br />
i<br />
i<br />
3<br />
3<br />
3<br />
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