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Transfer Line Calculations

Transfer Line Calculations. 9-March-2009 and following. Input. 24 DCOPS, with 2 (averaged) values per PG positions of the DCOPS wrt their disk centers Ideal SLM directions Ideal Z positions of DCOPS. Verify. DCOPS PG Z on ME+2/3 agree with ideal Z differences. Unknowns.

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Transfer Line Calculations

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  1. Transfer Line Calculations 9-March-2009 and following

  2. Input • 24 DCOPS, with 2 (averaged) values per • PG positions of the DCOPS wrt their disk centers • Ideal SLM directions • Ideal Z positions of DCOPS

  3. Verify • DCOPS PG Z on ME+2/3 agree with ideal Z differences

  4. Unknowns • 3 disks (x,y) and RZ 9 unknowns • 6 lasers (sx,sy)  12 unknowns • 24 dV (?)  24 unknowns at 3.8T (0 at 0)

  5. Location • Define ideal transformation • From Cocoa: CMS = OffSLM + RotSLM*(OffXfer+RotXFer*XFerPos) • My local coordinate system: XFerPos = OffJNB+RotJNB*DCPos • RotSLM=Rz(θz) Ry(θy) Rx(θx)

  6. Stations • ME+1 and ME+2 face the same direction • ME+3 and ME+4 face the same direction

  7. ME+1 SLM transforms to CMS

  8. ME+1 TP transforms to SLM

  9. ME+2 SLM transforms to CMS

  10. ME+2 TP transforms to SLM

  11. ME+3/4 SLM transforms to CMS

  12. ME+3/4 TP transforms to SLM

  13. Local DCOPS/XFER coordinate • X = rφ, phi in x y direction • Y = R, radial • Z “into page” using right hand rule • X=Y=0 = center of DCOPS in ideal system • Z=0 = position of Ref DCOPS dowel

  14. Nomenclature (Z always ideal) • (δx, δy) = shift in disk from ideal • (H,V) = center of DCOPS wrt ideal, PG • (ΔH, ΔV) = shift in local DCOPS center • (PH,PV) = Profile predictions • (0, dV) = cantilevered shift due to bending • Indexed by station or disk and by point #

  15. XFer Plate details • Ref DCOPS dowel pin is X,Z center of XFer • Ref DCOPS dowel is +6.724 shimmed away from Y center of XFer

  16. Transfer Plate Center X Center Y

  17. Transform Center to XFer Rx=-90 Ry=0 Rz=0

  18. Disk and PT: DCOPS to CMS: B=0 • C = XC + RC(XT+RT(XD+RD P) • C = XA + RA P • XA ≡ XC +RCXT+ RCRT XD • RA≡ RCRTRT • Above are Ideal positions, XT from PG • Shifting (per disk) gives unknown (to be solved for): • C’ = XS + RS C • RS mostly rotation about Z

  19. Complications w/ B=3.8 • The disks bend • Bending is not the same at every PT • Cannot assume each disk bends the same amount • ME+2/ME+3 cantilever by the same angle in different directions • Disks have additional rotation about Y (actually about line near the floor)

  20. Laser position/direction • Nominal position is same as center of ME+4 XFer DCOPS • Each PT has 2 laser slopes

  21. DCOPS data • Preprocess to include orientation, average both sides • Calibration (scale and offset) not included yet • Only 1 laser; only Plus Endcap

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