Overview. Calibration Bench. Research topic & Error Sources. Methodology. Results. Future Research. Conclusion

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1 PROCEDURE FOR ANALYZING GEOMETREICAL CHARACTERISTICS OF AN EDM CALIBRATION BENCH Ghent University, Department of Geography, Ghent, Belgium 3D Data Acquisition Cluster Alain De Wulf Denis Constales Jessica Meskens Timothy Nuttens Cornelis Stal Overview Calibration Bench Research topic & Error Sources Methodology Results Future Research Conclusion 2 Marrakech, Morocco, May

2 Calibration Bench (UGent) ca. 20 m length, 1 m high, 3 dm large Reinforced concrete beam on wall brick filled with sand. Total weight: approx. 105 kn. 3 Calibration Bench (UGent) Lasertex LSP-30 interferometer (HeNe 633 nm) Range: 30 m Resolution: or 0.01 mm (software setting) Accuracy: mm + 1,5 ppm (<> typical 2 mm + 2 ppm for a total station, e.g. Trimble S6) Reinforced concrete beam on wall brick filled with sand. Total weight: approx. 105 kn. 4 Marrakech, Morocco, May

3 Calibration Bench (UGent) Carrier with double prism On aluminium rail Allows simultaneous distance measurements to both interferometer and total station 5 Calibration Bench (UGent) Manual movement Four lateral gliding wheels making contact with tubular steel tubes (10 mm diameter, 6 m length per section) sleufgat 9mm op 16mm 6 Marrakech, Morocco, May

4 7 Research topic Quantify the alignment errors of the moving carrier on the rail Vertical and lateral offsets Rotations (pitch, roll, yaw) Gather information to allow a well founded decision: either to physically adjust the rail or to compute and apply an error correction model. 8 Marrakech, Morocco, May

5 Additional error sources Influence of atmospheric conditions: temperature, air pressure and humidity High accuracy atmospheric measurements with sensors attached to the rail Lower accuracy atmospheric measurements in the lab with Weather station Nexus Pro 2009 Dead path error Cosine error Abbe error Instability of the laserbeam 9 Laser Beam Alignment Minimum 80 % reflection strength of the laser beam signal needed in every point of the bench Fixed and moving interferometer prisms should be aligned with the laser beam 10 Marrakech, Morocco, May

6 Software Settings 11 Principles of Carrier has two targets at the left and right bottom sides of the carrier Zenithal (= vertical) and horizontal angle measurements are performed to both targets and also to the total station prism in the middle v EDM to the prism is also performed v 12 Marrakech, Morocco, May

7 Principles of Carrier is placed at the end (= near to the interferometer) The height of the totalstation (Trimble S6) is adapted so that the zenithal angle = 100 grades (horizontal line-of sight) The Horizontal angle is set to zero Start End 13 Principles of Measure every 15 cm Record the laserinterferometer distance Measure the vertical and horizontal angle to both targets and the prism and also measure the distance to the prism 14 Marrakech, Morocco, May

8 Principles of 1. Distance error (= difference between interferometer and total station) 2. Vertical offset 3. Lateral offset 15 Computations 16 Marrakech, Morocco, May

9 Distance Error ε HA prism (mm) Summary of ε HA prism 1 0,5 0-0,5-1 -1,5-2 -2,5-3 -3,5 Distance (mm) εhaprisma,reëel D1 (F21a) εhaprisma,reëel D2 (F21a) εhaprisma,reëel D3 (F21a) εhaprisma,reëel gem (F21a) 17 VD (mm) 0,50 0,00-0,50-1,00-1,50-2,00-2,50-3,00-3,50-4,00 Vertical offset VD -4, ΔVAprisma (mm) ΔVAst.links (mm) ΔVAst.rechts (mm) Distance (mm) 18 Marrakech, Morocco, May

10 LD (mm) Lateral offset LD Distance (mm) ,5-2 -1,5-1 -0,5 0 0,5 1 ΔZAprism ΔZAst.l. ΔZAst.r. 19 Rotations Roll-, pitch- en yaw-rotations Towards totaalstation Towards laserinterferometer 20 Marrakech, Morocco, May

11 Roll Computed out of left/right difference of vertical offsets VD 0,50 (mm) 0,00-0,50-1,00-1,50-2,00-2,50-3,00-3,50-4,00 VD -4,50 Distance (mm) ΔVAprisma (mm) ΔVAst.links (mm) 21 Pitch Computed out of differences of vertical offsets in subsequent points VD 0,50 (mm) 0,00-0,50-1,00-1,50-2,00-2,50-3,00-3,50-4,00 VD -4,50 Distance (mm) ΔVAprisma (mm) ΔVAst.links (mm) 22 Marrakech, Morocco, May

12 Future Fixed reference point, independent from bench construction, for zero-settings Interferometric measurement of roll and pitch Decision about adjusting the rail or modelling the offsets is still to take 23 Conclusion A methodology was suggested for the computation of horizontal and vertical offsets of an EDM calibration bench. The repeatability (approximation of the random error) of this methodology is in the order of mm. With interferometry we hope to be able to measure with accuracies better than 0.1 mm. 24 Marrakech, Morocco, May

13 Thank you for your attention! Questions? Contact & Information: Ghent University, Department of Geography, Ghent (Belgium) 3D Data Acquisition Cluster 25 Marrakech, Morocco, May

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