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Tile Calorimeter – Pre-Assembly Summary an= d Barrel Assembly Plan

 

J. Proudfoot

Argonne= National Laborator= y

 

V. Batoussov, M. Liabline, N. Topilin,<= /o:p>

Joint Institute for Nuclear Research<= /span>

 

March 29, 2004

 

The barrel survey results from the pre-assembly in Building 185 are reviewed. From these and the models develo= ped to calculate the cylinder geometry we propose a minimal modification to the= shimming plan for the barrel calorimeter assembly in the Atlas cavern. At the precis= ion of this calculation, we expect the tile calorimeter to be almost entirely within it design envelope. The focus of this note is the radial envelope. B= ased on the pre-assembly experience the tile calorimeter will fit comfortably wi= thin its envelope along the beam line.

 

The Tile Calorimeter Radial Envelope

 

This could be an interesting saga. = However, rather than dwelling on the history, it is more appropriate to simply clari= fy exactly what the true inner and outer envelopes are. This is illustrated in figure 1.

 

The nominal shims, of 1.9mm at the outer radius and 1.5mm at the inner radius, determine the nominal envelope of the tile calorimeter as:

  • Outer Corner to Corner:&= nbsp; 8470.0mm
  • Outer Center to Center:   8460.0mm
  • Inner= Center to Center:  &= nbsp; 4574.6mm

 

The outer envelope is specified by = the Outer Center to Center dimension of 8460 +/- 20mm. However, this does not include the additional distance to the corner of the connecting plate, which defines the physical outer envelope of the tile calorimeter as:

8470.0  and is +/- 20mm relative to nominal of 4574.6mm Note also, that the clearance of 1mm on the link plate mounting holes sets a mechanical limit on the allowed variation in the cylinder diameter of about 20mm (in the case of a perfect circle.)

 

 

 

Figure 1, a cartoon of the dimensio= ns which are needed to understand the specification of the tile calorimeter geometri= cal envelope.

 

 

Observations during the Barrel Pre-Assembly in Building 185

 

We checked many details during the pre-assembly and noted the following:

  • The (initial) shim sizes were slightly thicker than nomin= al
  • There was significant deformation of the shims at the inn= er radius
  • The shim deformation was not constant around the cylinder=
  • We chose to have the cylinder closed for the insertion of= the last module. This adversely impacted the cylinder envelope
  • Once we understood the true envelope (we thought we had += /- 20mm) we realized that the cylinder was outside its design envelope

&= nbsp;

One of our basic measurements is the distance of the chord between fiducial marks on modules at symmetrical positions about the vertical axis. This is illustrated in figure 2.<= /p>

 

We now address each of the above no= ted issues in turn.

 

The Shim Thickness

The ac= tual shim thickness is a combination of effects: the thickness of the metal shim used; some aluminum tape; some glue line; the true dimension of the module at the inner radius (or girder). The shims were corrected for twists and other deviations from a straight line obtained in module QC measurements to insur= e a homogenous bearing surface. In addition, there is a significant effect from deformation of the shims at the inner radius. This only occurs after some l= oad is applied and therefore the cylinder shape was a function of the number of modules mounted during the pre-assembly. We hope that the shape will be more stable during the final assembly.  Prior to the transfer of the load t= o the saddles, the chord data were used to establish that the effective thickness= of the nominal inner (outer) radius shim used in the pre-assembly was 2.32 (2.= 2) mm. These were larger than expected due to an accounting error (the thickne= ss of the aluminum tape.) These dimensions were subsequently used in all model calculations.

 

.

Figure 2, a cartoon showing the cho= rd measurements that have been used as one of the principal measurements to monitor the cylinder geometry

 

Shim Deformation & its Position Dependence

 

Shim d= eformation had been inferred during the pre-assembly of EBC. Therefore, we monitored t= he barrel cylinder shape during the pre-assembly to determine when this deformation occurred and to better measure its magnitude. The shim deformation was meas= ured directly by measuring the distance between the inner radius fiducial marks = on adjacent modules.  The shim deformation as a function of position around the cylinder is shown in figur= e 3. There are three distinct regions and in addition there are a small number of modules for which the shim deformation is (unexpectedly) large. A typical series of measurements, showing the dependence of the shim deformation on t= he load (in terms of number of modules mounted) is shown in figure 4. The modu= le numbering schemes are shown in figures 5 and 6. The assembly sequence numbe= r is used as our primary reference in this note. It is the sequence in which mod= ules were mounted on the cylinder. The deformation in the mid-plane of the cylin= der was sufficient to cause concern for damage to fibers. A cesium scan on these modules indicated that no damage had occurred.

&= nbsp;

&= nbsp;

&= nbsp;

&= nbsp;

Figure 3, inner radius shim deforma= tion as a function of location around the cylinder.

 

Figure 4, a typical series of fiduc= ial mark measurements used to determine shim deformation.

 

Insertion of the last module & the cylinder envelope

 

Figure= 7, shows the measurements of the inner radius chords before the insertion of the last module and the effect on the cylinder geometry of the insertion of the last module. In addition, we measured the space available for the insertion of module 64. The gap at the inner radius was smaller than nominal by between 6.1 and 7.1 mm. The gap at the outer radius was= smaller than nominal by between 9= .4 and 9.7mm. The cylinder was opened to allow the insertion of the last module, w= ith the result that it spread outwards in the horizontal direction (rotating approximately about the top of the saddle). Although the cylinder was essentially inside its envelope prior to this, the resulting shift pushed the cylinder outside its envelope by roughly 5mm in diameter.

 


 

 

<= /p>

Figure 5, Assembly sequence as view= ed from the “C” side. The shims are glued to the lower module edge in t= his view (right-hand edge).


<= /p>

 

Figure 6, Assembly sequence as view= ed from the “C” side. The shims are glued to the lower module edge in t= his view (left-hand edge).

 

 


 

 

 

Figure 7, Horizontal chord length d= eviation from nominal – at modules 62 and 63, and when the cylinder was opened= to allow the insertion of the last module.

 

 

The Model Results

 

Three = models were developed to monitor the evolution of the cylinder shape and were in g= ood general agreement. Two of these models were studied in detail and are discu= ssed in this report. These are referred to as Model( = Jcalc, Jparam) and Model(MVcalc, Jparam), where xxCalc refers to the algebra used = to propagate the cylinder geometry and xxParam refers to small adjustments of shim dimensions. The two models used quite different methodology: Jcalc developed the cylinder geometry by an emulation of the actual construction parameters (module sizes, shim sizes, shim deformation etc.); MVcalc used angles and virtual shims at the chords between fiducial marks.

&= nbsp;

Only r= uler measurements were made at module 62 and 63 in the assembly and therefore, f= or an unbiased comparison, only the inner radius chords lengths can be compare= d between data and the model for this stage in the assembly. This comparison is shown= in figure 8 for Model(Jcalc) and in figure 9 for Model(MVc= alc.)


The ga= p for the insertion of the last module is the critical dimension for the final assembly.  Both models reprodu= ce the overall shape reasonably well, and agree to within 4mm of the end point. Th= is is considered an acceptable level of agreement since very small systematic changes in dimensions can move this endpoint by several mm.


 

 

Figure 8, a comparison between a mo= del calculation of the cylinder geometry and the inner radius chords measured in Bt 185 dur= ing the pre-assembly immediately prior to the insertion of module 64. This is f= or Model(Jcalc,Jparam).

 

An alternative set of parameters, M= Vparam, for Model(MVcalc) gives better agreement with the pre-assembly data. The differences are equivalent to changes on the order of 0.020mm in shim thickness (or alternatively shim deformation.)  The cylinder geometry for Model(MVcalc,MVparam)  is shown in Figure 10.  With the precision with which we understand the parameters in these models we see that M= odel(Jcalc,Jparam) and Model(MVcalc,MVparam) are equivalent empirical representatio= ns of the pre-assembly data taken in Building 185.

Figure 9. a compari= son between a model calculation of the cylinder geometry and the inner radius chords measured in Bt 185 during the pre-assembly immediately prior to the insertion of module 64. This is for Model(Jcalc,= Jparam).

 

Figure10, a comparison between a model calculation of the cylinder geome= try and the inner radius chords measured in Bt 185 during the pre-assembly immediately prior to the insertion of module 64. This is for Model(Jcalc,Jparam)


Cavern Assembly Plan

 

In developing the plan that is prop= osed here, we considered several factors including: he realizable envelope, the amount of additional rework (e.g. in removing and reglueing of shims which we consider below as constraints) and the global alignment of the tile cylinder to the Atlas beamline.

 

The key objectives:

  1. The assembly approach should result in the cylinder being= open by ~3mm for the insertion of the last module. The justification for this = is indicated in Figure 7, where during the pre-assembly in Bt 185, it can= be seen that the cylinder opens around module 32, by about the same amount that it was closed for the insertion of the last module

 

  1. The shim deformation in the region of modules 28-34 in the assembly sequence is dangerously large and we should add shims at the inner radius of these modules to preclude the risk of damage to fibers. This deformation is shown in Figure 2.

 

  1. Provide some margin for increasing the thickness of outer radius shims for the last two modules, where we saw some surface abras= ion during the pre-assembly

 

  1. Give the possibility of avoiding the second radial shift = at the link plates (at modules 59 & 60.)

 

The constraints are:

  1. No modification of the modules at or below the saddle reg= ion.

Below = the saddle this will result in significant additional work for pin insertion. In the saddle region there is a concern that the through holes will not line up.

&= nbsp;

  1. Come as close as possible to being within the outer envel= ope.

Our ou= ter envelope is 8470 +10/-20mm. We expect to come close to the maximum value of 8480mm in some locations. We expect to always be on the positive side of the envelope on the inside to provide maximum space for the mounting of the liq= uid argon cryostat.

  1. Keep all changes as simple as possible. If possible only = modify the geometry by adding shims to those used during the pre-assembly in Building 185.
  2. We assume that we can adjust the vertical position of the center of the tile calorimeter to optimally fit it within the design envelope.

&= nbsp;

&= nbsp;

Four approaches for the management of the cylinder geometry were evaluated:

1.&n= bsp;     Reduction in the thicknes= s of the outer radius shims

2.&n= bsp;     Radial shims at the link = plates to change the cylinder shape

3.&n= bsp;     Add shims at the inner ra= dius to change the cylinder shape

4.&n= bsp;     Glue on wider shims at the inner radius to reduce shim deformation

 

Our conclusions are:

 

  • Reduction in the outer radius shims is impracticable.
  • The use of radial shims at the link plates is not favored= above the saddle, as any outward shift would require to be compensated by a corresponding inward radial shift. There is no resulting gain in envel= ope margin.
  • Increasing the thickness of the inner radius shims is a v= iable and predictable option.
  • Gluing on wider shims at the inner radius is a viable opt= ion but the reduction in deformation cannot be reliably predicted at the moment. This option should be adopted for the pre-assembly of EBA and = the final assembly of the remainder of EBC.

 

The Shim Plan

 

We propose to adopt a plan where the principal correction is to rotate outwards a few of the modules above the saddles so as to increase the gap available for the insertion of the last modules. This is accomplished by inserting additional shims at the inner ra= dius in a small number of locations. Fortunately, this also allows us to add shi= ms in the region where the shim deformation was unacceptably large. The proposed increases in shim thickn= ess for the inner radius shims are shown in Table 1 below. For completeness, the table includes increases in both the inner and outer radius shims for modules 61, 62, 63 and 64. The final determination of any shim adjustment on these modules will be done at the time of installation. Table 2 gives the planned shim additions for modules 27 -36 in the assembly sequence by Module identifier. In addition, the plan includes only a single radial shift of 3mm at modules (51, 52). A radial shif= t at module 59 (and 60) may still be required, depending on the actual cylinder geometry at that stage in the assembly.

 

The Predicted Cylinder Envelope

 

The model calculations include the thickness of the shims used (which were changed as the cylinder was built) = as well as an approximation for the shim deformation as a function of position= in the cylinder. They have been shown to give a good representation of the ove= rall cylinder shape at the inner radius.

 

The critical value is the predictio= n for space available for the insertion of the last module. In the barrel pre-assembly, the cylinder was closed by 6.5 (9.5) mm at the inner (outer) radius. The goal is to open this gap by ~9 (14) mm at the inner (outer) rad= ius. Our proposal is to do this by modifying the shims at the inner radius as sh= own in Table 1. In the horizontal plane we have added a total of about 3mm of s= him at the inner radius and a simple geometrical calculation shows that the resulting rotation should open the cylinder by 7.5 (14.0) mm at the inner (outer) radius.

 


Figure 11 shows the predicated inne= r and outer radius chord lengths around the cylinder for the geometry modificatio= ns given in Table 1. This model predicts the cylinder to be open by 2mm with a displacement at the inner radius chord of ~7mm relative to its position in = the pre-assembly (in good agreement with the simple calculation).

 


Figure 11, model prediction for the difference from nominal of the chord lengths between the inner pairs of Fiducial Marks and outer radius pairs of Fiducial Marks. For Model(Jcalc,Jparam)

 

The corresponding prediction for Model(MVcalc,Jparam) is shown in figure12. This model predicts that the cylinder would be slightly more open (not a bad thing) but overall is in very good agreement with Model(Jca= lc,Jparam). An important characteristic is the gradient of the approach to module 64, w= hich is very similar in both models and has the same sign for both inner and out= er radius chords.

 

Based on these calculations, for the proposed adjustment in cylinder geometry, we expect the cylinder to be open= by 2-3mm at both inner and outer radius. This is considered an acceptable work= ing margin and one that can be easily accommodated by the clearance in the cros= sbar mounting holes. The model predicts that the cylinder is largely within its outer envelope and is always positive relative to its inner envelope as is desirable in order to accommodate some potential installation problems associated with the liquid argon cryostat. This is shown in Figure 12, wher= e we plot the radial deviation from the nominal position, assuming that the cyli= nder as a whole has been displaced downward by 2.5mm to center it on the beamlin= e. The prediction is that the outer envelope is marginally outside its envelop= e at a small number of locations. The inner radius is always within its envelope= .

Figure 11, model prediction for the difference from nominal of the chord lengths between the inner pairs of Fiducial Marks and outer radius pairs of Fiducial Marks. For Model(MVcalc,Jparam)

 

Figure 12, model prediction of the deviation from nominal radius for the outer corner (Delta-Rc[O]) and the inner fiducial mark (Delta-Rfm[I]). Note that this envelope assumes that the cylinder is displaced vertically by 2.5mm to center it in the vertical plane.



Barrel

Shim

Plan

 

Assembly

Compression=

Cavern

Cavern

Sequence

(mm)

Adjustment

Adjustment

 

 

Inner Shim

Outer Shim

1

0.290=

 

 

3

0.290=

 

 

5

0.290=

 

 

7

0.290=

 

 

9

0.290=

 

 

11

0.290=

 

 

13

0.290=

 

 

15

0.290=

 

 

17

0.290=

 

 

19

0.290=

 

 

21

0.290=

 

 

23

0.290=

 

 

25

0.290=

 

 

27<= o:p>

0.7= 00

0.8= 00

 

29<= o:p>

0.7= 00

0.8= 00

 

31<= o:p>

0.4= 10

0.6= 00

 

33<= o:p>

0.4= 10

0.4= 00

 

35<= o:p>

0.4= 10

0.4= 00

 

37

0.410=

 

 

39

0.410=

 

 

41

0.410=

 

 

43

0.410=

 

 

45

0.410=

 

 

47

0.160=

 

 

49

0.160=

 

 

51

0.160=

 

 

53

0.160=

 

 

55

0.160=

 

 

57

0.160=

 

 

59

0.160=

 

 

61

0.160=

0.5

1.00

63

0.000=

0.5

1.00


 


Table 1, Inner radius shim compress= ion and additional shims as a function of module number (in assembly sequence). These corrections should be applied similarly to the corresponding even numbered modules in the assembly sequen= ce. A 3mm outward radial shift is included at module 51 (and 52).


 



 

 

 

Position in Assembly

Sequence

Module Position in

Survey System

JINR

Identifier

Additional Inner Radius

Shim (mm)

27

35

JINR52

0.8

28

62

JINR57

0.8

29

34

JINR39

0.8

30

63

JINR53

0.8

31

33

JINR01

0.6

32

64

JINR53

0.6

33

32

JINR40

0.4

34

01

JINR12

0.4

35

31

JINR55

0.4

36

02

JINR11

0.4

 

Table 2.additional inner radius shi= m given by module identifier.

 

 

 

Summary

 

We have evaluated the cylinder geom= etry from measurements made during the pre-assembly in Building 185. Two numeric= al models for the development of the cylinder geometry were developed in this period. Both gave consistent results for the cylinder shape as well as for = the assumed shim deformation as a function of module position. These models have been used to establish some modest changes to the shim plan for the assembl= y in the cavern, which results in the maximum deviation in radius of the cylinder being between +5 and +6mm from its nominal position (in radius).  The plan allows for one position at= which radial shims will be inserted at the link plates (two such shifts were made= in the pre-assembly). The final decision on these shims and their position wil= l be determined when we mount 48 modules.

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