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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 />

50 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 0.123 0.0071<br />

2 Total test force 0.26 N 0.15 -0.093 -0.0140<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 0.0896 0.0259<br />

5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 0.0032 0.0111<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 -0.0025 -0.0029<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 />

Uncertainty budget for<br />

60 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 0.101 0.0058<br />

2 Total test force 0.26 N 0.15 -0.0838 -0.0126<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 0.1186 0.0342<br />

5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 0.0018 0.0062<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 -0.0074 -0.0085<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) 0.221<br />

11 Expanded uncertainty(HRBW), k=2 0.44<br />

Uncertainty budget for<br />

70 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 0.079 0.0046<br />

2 Total test force 0.26 N 0.15 -0.0746 -0.0112<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 0.1296 0.0374<br />

5 Indentati<strong>on</strong> velocity 6 ㎛/s 3.46 0.0004 0.0014<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 -0.0123 -0.0142<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 />

i<br />

i<br />

i<br />

3<br />

3<br />

3<br />

Page 59 of 77

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