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 />
80 HRBW<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 0.10 N 0.06 0.057 0.0033<br />
2 Total test force 0.26 N 0.15 -0.0654 -0.0098<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 0.1226 0.0354<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 -0.001 -0.0035<br />
6 Total test force dwell time 0.5 s 0.29 -0.017 -0.0049<br />
7 indenter ball diameter 2.0 ㎛ 1.15 -0.0172 -0.0199<br />
8 Deformati<strong>on</strong> of frame 0.2 ㎛ 0.12 0.5 0.0577<br />
9<br />
L<strong>on</strong>g-term stability of primary<br />
hardness testing machine<br />
0.35 HRBW 0.20 1<br />
0.2021<br />
10 Comdined uncertainty(HRBW) 0.222<br />
11 Expanded uncertainty(HRBW), k=2 0.44<br />
Uncertainty budget for<br />
90 HRBW<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 0.10 N 0.06 0.035 0.0020<br />
2 Total test force 0.26 N 0.15 -0.0562 -0.0084<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 0.0976 0.0282<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 -0.0024 -0.0083<br />
6 Total test force dwell time 0.5 s 0.29 -0.017 -0.0049<br />
7 indenter ball diameter 2.0 ㎛ 1.15 -0.0221 -0.0255<br />
8 Deformati<strong>on</strong> of frame 0.2 ㎛ 0.12 0.5 0.0577<br />
9<br />
L<strong>on</strong>g-term stability of primary<br />
hardness testing machine<br />
0.34 HRBW 0.20 1<br />
0.1963<br />
10 Comdined uncertainty(HRBW) 0.216<br />
11 Expanded uncertainty(HRBW), k=2 0.43<br />
Uncertainty budget for<br />
100 HRBW<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 0.10 N 0.06 0.013 0.0008<br />
2 Total test force 0.26 N 0.15 -0.047 -0.0071<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 0.0546 0.0158<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 -0.0038 -0.0132<br />
6 Total test force dwell time 0.5 s 0.29 -0.017 -0.0049<br />
7 indenter ball diameter 2.0 ㎛ 1.15 -0.027 -0.0312<br />
8 Deformati<strong>on</strong> of frame 0.2 ㎛ 0.12 0.5 0.0577<br />
9<br />
L<strong>on</strong>g-term stability of primary<br />
hardness testing machine<br />
0.34 HRBW 0.20 1<br />
0.1963<br />
10 Comdined uncertainty(HRBW) 0.216<br />
11 Expanded uncertainty(HRBW), k=2 0.43<br />
i<br />
i<br />
i<br />
3<br />
3<br />
3<br />
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