1. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 1 Design, Manufacture, Transport and Integration on-site in Chile of ALMA Antennas Analysis and Error Budget Calculation PM#06- 18-19 July 2006

2. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 2 FEA MODEL - THE FEA MODEL HAS BEEN UPDATED WITH THE NEW BASE STRUCTURE - WE ARE WORKING IN ORDER TO FREEZE SEVERAL SMALL CHANGES IN THE DESIGN COMING ALSO FROM THE INDUSTRIALISATION REQUIREMENTS

3. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 3

4. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 4 FEM ANALYSES LOAD COMBINATIONS ACCORDING TO TECHNICAL SPECIFICATION # 9.1.3 OPERATIONAL CONDITIONS - GRAVITY + THERMAL + WIND 20m/s - GRAVITY + THERMAL + WIND 6.4m/s + FAST SWITCHING ACCIDENTAL CONDITIONS - GRAVITY + THERMAL + WIND 30m/s + EMERGENCY BRAKING - GRAVITY + WIND 20m/s + TRANSPORTER HANDLING SURVIVAL CONDITIONS - GRAVITY + WIND 65m/s - GRAVITY + THERMAL + WIND 30m/s - GRAVITY + WIND 30m/s + ICING + SNOW - GRAVITY + MLE + WIND 20m/s

5. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 5 List of FEA models: -Apex Structure: connection of the legs -Quadripod legs -Legs inserts -Connection Legs-Apex -New bell base of the adjusters -Interface BUS-RC - BUS: lifting points - Optical telescope support: - Front End flange: - RC- floor connection - RC-conterweight - RC-Stow pin insert - RC-bumpers - RC-Sector drive connection - RC-lifting point - RC-shaft ring - AZ-Platforms - El-membrane and shaft - Antenna transporter interface flanges - Support for titlmeter in the top arm - El saddle FEA model - Insert of attachment to the foundations

6. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 6 Design, Manufacture, Transport and Integration on-site in Chile of ALMA Antennas AAS-I Contribution to Analysis PM#06 Mainz – 18/19 July 2006

7. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 7 Thermal Analysis  The CAD and FEM delivered by EIE at end of Concept Phase have been used for generating an updated GMM and TMM  Thermal analyses, focused to thermal-distortion analysis, are being completed  Results of the foreseen eight thermal cases will be available for July the 23 rd  The updated CAD and FEM, if needed, will be used for updating the GMM and TMM and re-run the analyses for PPDR

8. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 8 FEM Analysis  The ANSYS FEM delivered by EIE at end of Concept Phase have been used for generating a new NASTRAN FEM  “Structural” Consistency of the two models have been verified comparing Normal Modes and Gravity distortion  “Thermo-elastic” consistency is being verified as well, comparing Antenna thermal distortion under a constant  T=20°C. for this scope the NASTRAN output has been delivered to EIE  The 11 wind load cases relevant to error budget have been run and output is being processed

9. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 9 Design, Manufacture, Transport and Integration on-site in Chile of ALMA Antennas WIND ANALYSIS PM#06 Mainz -18/19 July 2006

10. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 10 Completion of the wind analysis based on the Antenna design proposed after PM3 Actual CFD model Antenna layout The analysis include: 11 cases in support to the Non-repeteable Error budget analysis budget 15 cases in support to the load analysis For all the analysed Antenna configuration the Pressure distribution on the Elevation Structure was provided to EIE on 06/07/2006 All the analysis was performed assuming a reference wind velocity equal to 9.5 m/s (Nighttime Primary condition)

11. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 11 Antenna analysed configuration summary Elevation 0153045607590 Azimuth 0xooxox 15 30 45 x 60xooooo 75 90 x x 105 120xoooo 135 x 150 165 180xooxo 11 Analysis cases in support to error budget (x) 15 Analysis cases in support to Load analysis (o) as in EIE proposal documentation

12. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 12 Wind Analysis – Error budget set of Antenna orientation 0_0 Static Pressure distribution (Pa) Air velocity contours (m/s) Path line (m/s)

13. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 13 Wind Analysis – Error budget set of Antenna orientation 60_0 120_0 180_0 Static Pressure distribution (Pa) Air velocity copntour (m/s)

14. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 14 Wind Analysis – Error budget set of Antenna orientation 45_45 135_45 0_60 90_60 Static Pressure distribution (Pa) Air velocity copntour (m/s)

15. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 15 Wind Analysis – Error budget set of Antenna orientation 180_60 0_90 90_90 Static Pressure distribution (Pa) Air velocity copntour (m/s)

16. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 16 Wind Analysis – Load Analysis Antenna orientation 0_60 0_45 0_75 Static Pressure distribution (Pa) Air velocity copntour (m/s)

17. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 17 Wind Analysis – Load Analysis Antenna orientation 60_30 60_45 60_60 Static Pressure distribution (Pa) Air velocity copntour (m/s)

18. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 18 Wind Analysis – Load Analysis Antenna orientation 60_75 60_90 120_30 Static Pressure distribution (Pa) Air velocity copntour (m/s)

19. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 19 Wind Analysis – Load Analysis Antenna orientation 120_45 120_60 120_75 Static Pressure distribution (Pa) Air velocity copntour (m/s)

20. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 20 Wind Analysis – Load Analysis Antenna orientation 180_30 180_45 180_75 Static Pressure distribution (Pa) Air velocity copntour (m/s)

21. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 21 Wind Analysis – Pressure Load on Elevation Structure Summay Elevation Structure (Parabola + Cabin)

22. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 22 Wind Analysis – Pressure Load on Apex Structure Summay Apex Structure

23. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 23 Wind Analysis – Pressure Load on Legs Structure Summay Legs +y+z Legs +y-z

24. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 24 Wind Analysis – Pressure Load on Legs Structure Summay Legs -y+z Legs -y-z

25. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 25 Wind Analysis – Results Comparison with the PM3 analysis Azimuth 0 Elevation 0 Static Pressure (Pa) The legs modeling only localy modify the parabola pressure distribution old new

26. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 26 Wind Analysis – Conclusions  A complete set of analysis was performed on the basis of the Actual Antenna layout including also the Legs 11 antenna orientation in support to the Non-Repeteable Error Budget analysis 15 antenna orientation in support to the Load Analysis  All the analyses were performed assuming the Reference Wind Velocity equal to 9.5 m/s (Nighttime Primary conditions)  Pressure load under different wind conditions can be obtained by scaling the obtained value with a velocity quadratic law  A comparison with the old analysis results show as the introduction of the legs on the model only localy modify the parabola pressure distribution

27. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 27  Error Budget Calculation: Optimization of stell structure with reference to industrialization process New platforms design New wind load set by AAS-F

28. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 28  Error Budget Calculation without metrology correction: Surface Accuracy Wind Component

29. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 29  Error Budget Calculation without metrology correction: Surface Accuracy Wind Component

30. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 30  Error Budget Calculation without metrology correction: Surface Accuracy Gravity Component

31. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 31  Error Budget Calculation without metrology correction: Surface Accuracy Thermal Component

32. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 32  Error Budget Calculation without metrology correction: Surface Accuracy Thermal Component

33. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 33  Error Budget Calculation without metrology correction: Surface Accuracy

34. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 34  Error Budget Calculation without metrology correction: Pointing Error Wind Component

35. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 35  Error Budget Calculation without metrology correction: Pointing Error Wind Component

36. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 36  Error Budget Calculation without metrology correction: Pointing Error Wind Component

37. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 37  Error Budget Calculation without metrology correction: Pointing Error Gravity Component

38. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 38  Error Budget Calculation without metrology correction: Pointing Error Thermal Component

39. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 39  Error Budget Calculation without metrology correction: Pointing Error Thermal Component

40. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 40  Error Budget Calculation without metrology correction: Pointing Error Absolute Pointing Error

41. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 41  Error Budget Calculation without metrology correction: Pointing Error Offset Pointing error

42. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 42  Error Budget Calculation without metrology correction: Pathlenght Error Wind Component

43. Reproduction interdite © ALMA EUROPEAN CONSORTIUM Reproduction forbidden Design, Manufacture, Transport and Integration in Chile of ALMA Antennas Page 43  Error Budget Calculation: Pathlenght Error With Thermal metrology correction