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

• 3 disks (x,y) and RZ 9 unknowns

• 6 lasers (sx,sy) 12 unknowns

• 24 dV (?) 24 unknowns at 3.8T (0 at 0)

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)

Stations

• ME+1 and ME+2 face the same direction

• ME+3 and ME+4 face the same direction

ME+1 SLM transforms to CMS

X Y Z Rx Ry Rz

HSLM1 -17.0821 63.7511 6782 -90 0 15

HSLM2 -63.7511 17.0821 6782 -90 0 75

HSLM3 46.6690 46.6690 6782 -90 0 135

HSLM4 -17.0821 63.7511 6782 -90 0 195

HSLM5 63.7511 -17.0821 6782 -90 0 255

HSLM6 46.6690 46.6690 6782 -90 0 315

ME+1 TP transforms to SLM

X Y Z Rx Ry Rz

PT1 7175.83 -48 22.5 0 -90 0

PT2 7175.83 -48 22.5 0 -90 0

PT3 7175.83 -48 22.5 0 -90 0

PT4 7175.83 -48 22.5 0 -90 0

PT5 7175.83 -48 22.5 0 -90 0

PT6 7175.83 -48 22.5 0 -90 0

ME+2 SLM transforms to CMS

X Y Z Rx Ry Rz

SLM1 -77.64571 289.7777 7998 -90 0 15

SLM2 289.7777 -77.64571 7998 -90 0 75

SLM3 -212.132 -212.132 7998 -90 0 135

ME+2 TP transforms to SLMX Y Z Rx Ry Rz

TP1/S1 7175.829 -48 -22.5 0 90 0

TP4/S1 -7175.833 -48 22.5 0 -90 0

TP2/S2 -7175.829 -48 -22.5 0 90 0

TP5/S2 7175.833 -48 22.5 0 -90 0

TP3/S3 7175.829 -48 22.5 0 -90 0

TP6/S3 -7175.833 -48 -22.5 0 90 0

ME+3/4 SLM transforms to CMS

X Y Z Rx Ry Rz

SLM1 -77.64571 289.7777 9642/

10537

90 0 15

SLM2 289.7777 -77.64571 9642/

10537

90 0 75

SLM3 -212.132 -212.132 9642/

10537

90 0 135

ME+3/4 TP transforms to SLMX Y Z Rx Ry Rz

TP1/S1 7177.343 -48 22.5 0 -90 0

TP4/S1 -7175.803 -48 -22.5 0 90 0

TP2/S2 7175.833 -48 -22.5 0 90 0

TP5/S2 -7175.833 -48 22.5 0 -90 0

TP3/S3 7177.343 -48 22.5 0 -90 0

TP6/S3 -7175.803 -48 -22.5 0 90 0

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

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 #

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

Transfer Plate CenterCenter

Y

X

Transform Center to XFer

X (=H) Y Z (=-V)

PT1 208.5 0 73.175

PT2 202.5 0 73.175

PT3 -157.5 0 73.175

PT4 -163.5 0 73.175

PT5 208.5 0 73.175

PT6 202.5 0 73.175

Rx=-90 Ry=0 Rz=0

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

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)

Laser position/direction

• Nominal position is same as center of ME+4 XFer DCOPS

• Each PT has 2 laser slopes

DCOPS data

• Preprocess to include orientation, average both sides

• Calibration (scale and offset) not included yet

• Only 1 laser; only Plus Endcap