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 />
No Quantity<br />
Estimated<br />
valus<br />
xi<br />
25 HRBW<br />
Unit<br />
Stadard<br />
uncertatinty<br />
Sensitivity<br />
coefficient<br />
Uncertainty<br />
c<strong>on</strong>tributi<strong>on</strong><br />
xi<br />
X i x i ux<br />
<br />
C i u i (H )<br />
1 Preliminary test force 0.10 N 0.06 0.178 0.0103<br />
2 Total test force 0.26 N 0.15 -0.116 -0.0174<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 -0.06165 -0.0178<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 0.0067 0.0232<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 0.00975 0.0113<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 />
0.45 HRBW 0.26 1<br />
0.2598<br />
10 Comdined uncertainty(HRBW) 0.275<br />
11 Expanded uncertainty(HRBW), k=2 0.55<br />
Uncertainty budget for<br />
30 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 0.167 0.0096<br />
2 Total test force 0.26 N 0.15 -0.1114 -0.0167<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 -0.0224 -0.0065<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 0.006 0.0208<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 0.0073 0.0084<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 />
0.45 HRBW 0.26 1<br />
0.2598<br />
10 Comdined uncertainty(HRBW) 0.274<br />
11 Expanded uncertainty(HRBW), k=2 0.55<br />
Uncertainty budget for<br />
40 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 0.145 0.0084<br />
2 Total test force 0.26 N 0.15 -0.1022 -0.0153<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 0.0426 0.0123<br />
5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 0.0046 0.0159<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 0.0024 0.0028<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 />
0.43 HRBW 0.25 1<br />
0.2483<br />
10 Comdined uncertainty(HRBW) 0.263<br />
11 Expanded uncertainty(HRBW), k=2 0.53<br />
i<br />
i<br />
i<br />
3<br />
3<br />
3<br />
Page 58 of 77
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