OFFRE XXXX Design, Manufacture, Transport and Integration on-site in Chile of ALMA Antennas WIND ANALYSIS PM#07

Actual CFD model Antenna layout OFFRE XXXX 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-repeatable error budget analysis 15 cases in support to the load analysis These analyses was performed assuming a reference wind velocity equal to 9.5 m/s (Nighttime Primary condition, including dust) 6 cases in support to the load analysis covering wind survival conditions, defined by a wind velocity of 65.0 m/s The pressure distribution on the elevation structure relevant to all the antenna configurations was provided to EIE

Antenna analysed configuration summary OFFRE XXXX Antenna analysed configuration summary Elevation 15 30 45 60 75 90 Azimut x  o   105 120 135 150 165 180 11 Analysis cases in support to error budget (x) 15 Analysis cases in support to load analysis (o) as in EIE proposal documentation 6 Analysis cases in support to wind survival conditions ()

Wind Analysis – Error budget Antenna orientations OFFRE XXXX Wind Analysis – Error budget Antenna orientations Static Pressure distribution (Pa) 0_0 Pathlines (m/s) Air velocity contours (m/s)

Wind Analysis – Error budget Antenna orientations OFFRE XXXX Wind Analysis – Error budget Antenna orientations 60_0 120_0 180_0 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Error budget Antenna orientations OFFRE XXXX Wind Analysis – Error budget Antenna orientations 45_45 135_45 0_60 90_60 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Error budget Antenna orientations OFFRE XXXX Wind Analysis – Error budget Antenna orientations 180_60 0_90 90_90 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Load Analysis Antenna orientations OFFRE XXXX Wind Analysis – Load Analysis Antenna orientations 0_30 0_45 0_75 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Load Analysis Antenna orientations OFFRE XXXX Wind Analysis – Load Analysis Antenna orientations 60_30 60_45 60_60 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Load Analysis Antenna orientations OFFRE XXXX Wind Analysis – Load Analysis Antenna orientations 60_75 60_90 120_30 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Load Analysis Antenna orientations OFFRE XXXX Wind Analysis – Load Analysis Antenna orientations 120_45 120_60 120_75 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Load Analysis Antenna orientations OFFRE XXXX Wind Analysis – Load Analysis Antenna orientations 180_30 180_45 180_75 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Wind survival Antenna orientations OFFRE XXXX Wind Analysis – Wind survival Antenna orientations 0_15 30_15 60_15 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Wind survival Antenna orientations OFFRE XXXX Wind Analysis – Wind survival Antenna orientations 90_15 120_15 180_15 Static Pressure distribution (Pa) Air velocity copntour (m/s)

Wind Analysis – Pressure Load on Elevation Structure Summary OFFRE XXXX Wind Analysis – Pressure Load on Elevation Structure Summary Elevation Structure (Parabola + Cabin)

Wind Analysis – Pressure Load on Apex Structure Summary OFFRE XXXX Wind Analysis – Pressure Load on Apex Structure Summary Apex Structure

Wind Analysis – Pressure Load on Legs Structure Summary OFFRE XXXX Wind Analysis – Pressure Load on Legs Structure Summary Legs +y+z Legs +y-z

Wind Analysis – Pressure Load on Legs Structure Summary OFFRE XXXX Wind Analysis – Pressure Load on Legs Structure Summary Legs -y+z Legs -y-z

Wind Analysis – Wind survival conditions Summary OFFRE XXXX Wind Analysis – Wind survival conditions Summary Elevation structure Apex leg +y+z leg +y-z leg -y+z leg -y-z Load survival cases Azimuth Elevation FX[N] FY[N] FZ[N] 15 246360 87146 5819 389 88 -1 103 18 157 98 19 -123 54 -99 16 57 -109 7 30 194160 73828 -138780 715 -41 -34 298 -294 362 307 423 214 69 93 256 647 -692 437 60 120800 29250 -145890 965 -11 -50 1070 -778 398 1149 1214 744 578 580 643 2193 -2015 303 90 56718 -11871 9589 1342 -8 -19 1146 -1035 -314 2069 1944 367 1188 1083 239 2265 -2046 -730 120 77796 -6084 -4096 -159 50 -7 -308 359 183 163 267 34 -183 -232 -28 180 -250 -96 135270 2129 -204 -262 -79 -2 109 -23 112 23 -66 -62 -48 -65 66

Wind Analysis – Results Comparison with the PM3 analysis OFFRE XXXX Wind Analysis – Results Comparison with the PM3 analysis The presence of the legs only locally modifies the parabola pressure distribution old Static Pressure (Pa) Azimuth 0 Elevation 0 new

Wind Analysis – Conclusions OFFRE XXXX Wind Analysis – Conclusions A complete set of analysis was performed on the basis of the actual Antenna layout, i.e. with included legs 11 Antenna orientations in support to the non-repeatable error budget analysis 15 Antenna orientations in support to the load analysis 6 Antenna orientations in support to the wind survival conditions analysis All the analyses were performed assuming a reference wind velocity of 9.5 m/s (Nighttime Primary conditions), excepting the wind survival conditions analyses for which the reference wind velocity is equal to 65 m/s In view of the expression of the aerodynamic force on the Antenna , the pressure loads under different wind conditions can be obtained by scaling according a factor proportional to the square of the velocity ratio, considering that the aerodynamic coefficient has little variation under the given range of wind velocities From the comparison with the old analyses it turns out that the introduction of the legs on the model only locally modifies the parabola pressure distribution