FITTING ERROR ANALYSIS FOR THE VLT DSM
FITTING ERROR ANALYSIS FOR THE VLT DSM. A. Riccardi, M. Xompero, L. Busoni (INAF-Osservatorio di Arcetri). OUTLINE. Fitting error and force analysis starting from FEA influence functions Full and partial correction results (wrt number of corrected modes)
FITTING ERROR ANALYSIS FOR THE VLT DSM
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FITTING ERROR ANALYSIS FOR THE VLT DSM VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 A. Riccardi, M. Xompero, L. Busoni(INAF-Osservatorio di Arcetri)
VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 OUTLINE • Fitting error and force analysis starting from FEA influence functions • Full and partial correction results (wrt number of corrected modes) • Preliminary comparison of FEA result with P45 measurements • Preliminary step response and chopping results with P45
VLT DSM VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
FEA MAIN PARAMETERS VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
/1mm /1mm DEFINITIONS VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 mm j-th influence function: shelldeformation [mm] setting act position actuator force pattern to producej-th influence func. [N] Z a-dimensional [mm/mm]z,p [mm]K [N/mm]; f [N]
MIRROR MODES VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 First 64 least stiff mirror modes First 64 least stiff mirror modes
Modal stiffness (mirror modes) VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 Max Act Force: 1N Force Thresh.:0.1N Stiffest mode: 0.1N/(6.6N/mm)= 15nm PtV (surface) Astig mode: 0.1N/(10-5N/mm)= ~100mm PtV (!!!)
Envelope of Zernike decomposition for manufacturing error VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 Max flattening force: 0.1N Zern coeff at 0.1N peak Kolm turb(0.2arcsec seeing) Mirror fitting residual
Hp 1: Same thin shellHp 2: Same Actuator-to-shell interfaceHp 3: Same shell constrains on edgeHp 4: All dof are used (no slave acts) w = F1 v p = M1 v 1 g1 g1 00100 0 0 0 0 = M1-1 V1 V1 V2 V2 V3 V3 V4 V4 V5 V5 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 g1 1 g2 g1 0 0 0 0 V1 V2 V3 V4 V5 w = F2 v g2 p = M2 v V1 V2 V3 V4 V5 00100 V1 V2 V3 V4 V5 w2 = (F2 M2-1) p = M2-1 V1 V2 V3 V4 V5 ACTUATOR COUPLING VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 v = M1-1 p w1 = (F1 M1-1) p g1<g2 w1=w2 -> (F1 M1-1) = (F2 M2-1)
ACTUATOR COUPLING VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
MAIN PARAMETERS OF THE SIMULATION VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
WF GENERATION VALIDATION VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 10’000 phase screens 13.3% wrt Zern rms (in agreement with Dai et al.)
Actuator position Structure Function VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 Actuator SF Kolm SF VonKar. SF
MEDIAN SEEING FULL CORRECTION VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
l l/l l/l MEDIAN SEEING: V/K WF AND PSF CORRECTION VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
MEDIAN SEEING: V/K STREHL RATIO DISTRIBUTION VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
AIRY RINGS VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
FULL CORRECTION: MEDIAN AND BAD SEEING COMPARISON VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
Inter-actuator stroke. Bad Seeing VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 10000 layers
BAD SEEING: PERFORMANCES CORRECTING 738 MODES VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
Mirror and Zernike modes vs KL VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 Zern/KL Mirror/KL
Measured 19% extra stiff.(requires 6.3% thinner shell) - measured - simulated 2.0mm -> 1.88mm ===Not yet calibrated actuators=== PRELIMINARY FEA COMPARISON WITH MEASUREMENTS (P45) VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
Low stiffness mode Mid stiffness mode High stiffness mode NEW ELECTRONICS:PRELIMINARY STEP RESPONCES (P45) VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 Modal settling time: ~0.57[ms] to ~0.67[ms]
Settling Time ~10ms PRELIMINARY CHOPPING RESULTS (P45) VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
Rms ~3.2 [mas] PRELIMINARY CHOPPING RESULTS (P45) VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005 K Band d.l. size: ~53[mas]
P45 MODAL PLANT TRANSFER FUNCTIONS VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005
P45 ACTUATOR PLANT TRANSFER FUNCTION VLT DSM – JRA1 meeting 2 Firenze – 7th-8th July, 2005