Aleksandr Gorbashev

Final Comparison

Abbe Offset	106.8
Renishaw (mm)	Pitch (mRad)	Error #1 (mm)	Error #2 (mm)	Renishaw Bubble Trial 1 (mm)	Renishaw Bubble Trial 2 (mm)	Renishaw Bubble Trial 3 (mm)
-0.00032	0.001	-0.0004268	0	0.00002	0	0.00002
-0.03035	-0.206	-0.0083492	0.0004196	0.00867	0.00097	0.00249
-0.0432	-0.41	0.000588	0.0047428	0.00212	0.00655	0.00022
-0.06867	-0.623	-0.0021336	0.0002624	0.00699	0.00741	0.00518
-0.07935	-0.822	0.0084396	0.0048104	0.00592	0.0057	0.0064
-0.10179	-1.036	0.0088548	0.0034768	0.00812	0.0051	0.00467
-0.12403	-1.233	0.0076544	0.0058104	0.00418	0.00376	0.01132
-0.14156	-1.444	0.0126592	0.006718	0.00998	0.00544	0.01101
-0.16432	-1.616	0.0082688	0.0034336	0.01361	0.00904	0.01008
-0.18817	-1.822	0.0064196	0.0035408	0.01304	0.00751	0.00879
-0.19889	-1.917	0.0058456	0.008038	0.00386	0.01225	0.0129
-0.18892	-1.828	0.0063104	0.0049236	0.00906	0.00776	0.0139
-0.1624	-1.621	0.0107228	0.0042476	0.00905	0.00755	0.01402
-0.15024	-1.439	0.0034452	0.0103268	0.01415	0.01412	0.00582
-0.12703	-1.227	0.0040136	0.0086976	0.01297	0.01028	0.01279
-0.1048	-1.038	0.0060584	0.0127444	0.01535	0.01126	0.00178
-0.07677	-0.833	0.0121944	0.0023604	0.01613	0.01242	0.00186
-0.06029	-0.604	0.0042172	0.0032004	0.00832		0.00575
-0.04283	-0.44	0.004162	0.0010068	0.01146		0.0051
-0.01243	-0.207	0.0096776	0.00527	0.01431
0.00876	0.002	0.0085464	0.0010204	0.01409
0.02911	0.232	0.0043324	0.0004388	0.00246
0.05073	0.424	0.0054468	0.003532	0.00966
0.06939	0.633	0.0017856	0.0042656	0.01137
0.09698	0.845	0.006734	0.0006496	0.01175
0.12209	1.055	0.009416	0.00235	0.01352
0.13603	1.217	0.0060544	0.0050692	0.00725
0.15076	1.41	0.000172	0.007474	0.00919
0.18316	1.618	0.0103576	0.0104692	0.0103
0.20108	1.816	0.0071312	0.0099568	0.00772
0.20618	1.933	-0.0002644	0.0018884	0.01098
0.20283	1.817	0.0087744	0.0042356
0.18184	1.628	0.0079696	0.0004772
0.16384	1.428	0.0113296	0.0059572
0.13393	1.198	0.0059836	0.00389
0.11681	1.033	0.0064856	0.0020724
0.09577	0.816	0.0086212	8.88E-05
0.07812	0.633	0.0105156	0.0044912
0.05856	0.433	0.0123156	0.0021408
0.03166	0.228	0.0073096	0.0044328
0.00467	-0.003	0.0049904	0.0005524

1 Linear positioning error due to angular displacement and dimensional offset.

2 Tapes are laid out on the bench top for calibration.

3 Fluid flows in straight, parallel layers, with no disruption between the layers.

4 World wide standardized calibration temperature due to mechanical properties of metals. Metals can compress and expand due to temperature difference, thus creating non constant calibration conditions.

5 Type of resistor used to measure temperature changes

6 Optical device located on the carriage that reflects an outgoing beam completely parallel to the incoming beam.

7 Interference Fringes - Interference in light wave intensity from combination of independent waves due to differences in phase of light waves.

8 Micrometer = 1x10^-6 meters

9 Humidity and pressure readings are attained through barometers and hydrometers located within laboratory, Figure 1.8 – Hydrometer (Humidity Sensor - Top). Barometer (Pressure Sensor - Bottom).

10 Coefficient of Thermal Expansion (CTE) is a material property which reflects the materials ability to expand or contract due to temperature difference. Different CTE values dependent on the type of tape material are logged into the software for length variance correction.

11 Modulus of Elasticity - property of a material which reflects the ability of such material to stretch elastically (i.e. non-permanently).

12 - Pivoting occurs on the axis of the rear wheels, thus tilt can be adjusted through the microscrew by lowering or raising the carriage front.

13 The defined “Zero Mark” tells the laser where to begin measurement from.

14 Tan(Ө) = (Error/Abbe Offset), Error = Tan(0.117)(0.05) = 101x10^-6 meters

15 Instrument or sensor used for measuring angles of tilt or inclination with respect to gravity. Also known as levelmeter.

16 The Wyler Fowler Levelmeter was used only for experimental purposes to define is the new approach of pitch measurement is feasible. If it is, LSCMG would pursue this approach and build a customize inclinometer for the carriage.

17 The milliradian scale was sufficient enough to measure arc-minute scale pitch. ±1.9 milliradian range also covered the maximum and minimum range of the bench pitch evaluated earlier.