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National Institute for Nuclear Physics and High Energy Physics
Kruislaan 4091098 SJ Amsterdam
The Netherlands
NIKHEF Reference no.: MT-VELO 04-2
EDMS no: 466608
STRUCTURAL ANALYSIS OF THE
LIFTING DEVICEDETECTOR SUPPORTSFOR THE LHCb VERTEX LOCATOR (VELO)
M. J. Kraan, C. Snippe, J. Buskop, M. Doets
Abstract
The structural verification of the 'LHCb VELO detector support' lifting device is the
subject of this document. Purpose of these calculations is to investigate stress and
stability of this lifting device. This lifting device has to comply with the D1 CERN
Code. Numerical analysis was performed with the IDEASTM finite element analysis
software
April 2004
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STRUCTURAL ANALYSIS VELO DETECTOR SUPPORTLIFTING DEVICE2
Table of Contents
1. Introduction................................................................................................................3
2. General description of the Lifting Device .................................................................4
2.1 Design ..................................................................................................................4
2.2 Material properties ...............................................................................................5
2.3 Operational conditions.........................................................................................5
3. Finite Element Analysis .............................................................................................6
3.1 Lifting plate..........................................................................................................6
3.2 Cross plate............................................................................................................6
4. FEA results ................................................................................................................8
4.1 Lifting plate..........................................................................................................8
4.2 Cross plate..........................................................................................................10
5. Calculation bolt and sliding axle .............................................................................12
5.1 Sliding Axle .......................................................................................................12
5.2 Bolt M6 ..............................................................................................................12
6. Conclusion ...............................................................................................................13
APPENDICESA .. All Technical Drawings
B .. More FEA results
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STRUCTURAL ANALYSIS VELO DETECTOR SUPPORTLIFTING DEVICE3
1. Introduction
LHCb is one of the four particle physics experiments around the LHC
accelerator, which is located at CERN. The LHCb VErtex LOcator (VELO), shown in
figure 1.1, is one of the sub detectors of the LHCb experiment
Fig 1.1: VELO detector.
For installation of the two detector supports a lifting device has been designed.
Figure 1.2 shows the lifting device (in yellow) with the two detector supports in front
of the vacuum vessel. The scope of this document is to investigate stress and stability
of this lifting device. This lifting device has to comply with the D1 CERN Code.
Fig 1.2: Lifting device for installation of the two detector supports.
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STRUCTURAL ANALYSIS VELO DETECTOR SUPPORTLIFTING DEVICE4
2. General description of the Lifting Device
2.1 Design
The two main plates of this lifting device (shown in fig. 2.1) , so called 'lifting
plates', are bolted together with 4 intermediate plates. Between these two lifting plates
are two cross plates hanging in capacious slots. On the cross plates are the detector
supports mounted. To get a reasonable weight (43 Kg) for handling of this lifting
device, all plates are cut with a triangular or circular pattern.
Fig 2.1: Lifting device
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STRUCTURAL ANALYSIS VELO DETECTOR SUPPORTLIFTING DEVICE5
2.2 Material pro pert ies
This Lifting device will be made from Steel 47 (1.8905):
Tensile strength Rm [MPa] Min. 580
Yield strength Rp 0.2% [MPa] Min. 430
Young's modulus E [GPa] Min. 210
Density [g/cm3] 7.85
Poissons ratio 0.30
2.3 Operat ional condit ion s
The load of the lifting device is determined by the weight of the two detectorsupports. The weight for each detector support is 1100 N. This weight and the center
of gravity is calculated in the 3D modeling software. There are 8 holes to put in a
lifting bar for adjusting the center of gravity.
A safety factor used in the simulation is 2.4.
With a weight (G) of each detector of 1100 N, the load at each lifting point is:
F1=510
1100[ ] 2.4 12241100
N =
F2=590
1100[ ] 2.4 1416
1100
N =
Fig 2.2: Center of gravity of a detector support.
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STRUCTURAL ANALYSIS VELO DETECTOR SUPPORTLIFTING DEVICE6
3. Finite Element Analysis
A finite element analysis has been done to verify that the stresses are below
the Yield strength, and within the limits defined by the CERN safety code for lifting
devices D1. The finite element analysis is done with the finite element analysismodule of IdeasTM.
3.1 Lift ing plate
To simulate the 'worse case scenario', the first support point (see fig 3.1) of the
'lifting plate' is used (largest distance to the cross plates) and the forces are in vertical
direction placed on the surface on which the 'cross plates' are. The model is build up
with 2D Thin Shell parabolic quadrilateral. A buckling analysis is presented as the
stresses in some 'relative thin' sections are compressive.
Fig 3.1: FEA model of the lifting plate.
3.2 Cross p late
Due to the symmetry of the cross plate, half of the 'cross plate' has been
simulated. Two angle directions of the force are analyzed: 0 (vertical) and 30 degrees.
This 30 degrees (shown in fig 3.2) is a worse case lifting scenario. Under normal
conditions this force will always be vertical. The model is build up with 3D Solid
parabolic tetrahedron elements.
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STRUCTURAL ANALYSIS VELO DETECTOR SUPPORTLIFTING DEVICE7
Fig 3.2: 30 degrees lifting angle.
Fig 3.3: FEA model of the cross plate
Mesh types: lifting plate: 2D Thin Shell parabolic quadrilateral
cross plate: 3D Solid parabolic tetrahedron
Safety Factor: 2.4
Load type: Load on surface
Weight 1 detector support: 1100 N
Load Amplitude: lifting plate: F1=1224 N / F2=1416 N
cross plate: F=1416 N
Type of Solution: Linear Statics
Units: Length [mm]; Force [N]; Stress/Pressure [Mpa]
Table 3.1; summery of FEA properties.
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STRUCTURAL ANALYSIS VELO DETECTOR SUPPORTLIFTING DEVICE9
Fig 4.3: Deflection results. Max. 20.4mm. Without safety factor 20.4/2.4=8.5mm
Fig 4.4: First buckling mode. Buckling factor = 8.9.
Strain energy error norm = 1.7%
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4.2 Cross p late
Fig 4.5: 0 degrees; Von Mises stress results. Max. 90.2 MPa.
Fig 4.6: 0 degrees; deflection results. Max. 0.25 mm.
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STRUCTURAL ANALYSIS VELO DETECTOR SUPPORTLIFTING DEVICE11
Fig 4.7: 30 degrees; Von Mises stress results. Max. 349 MPa.
Fig 4.8: 30 degrees; deflection results. Max 4.2 mm.
Strain energy error norm = 5.2%
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5. Calculation bolt and sliding axle
Fig 5.1 detail cross plate with the 2 bolts and sliding axle.
5.1 Sliding Ax le
Material AISI 304
Yield strength = 290 N/mm2
F = 1416 N ; a = 30 mm; d = 12mm
Bending: 2b 3 3
1416 30250 /
1232 32
b
b
M F aN mm
dW
= = = =
Shear: 22 2
141612.5 /
124 4
F Fmm
dA = = = =
2 2 2
t?t b 3 251 / mm= + =
5.2 Bo lt M6
Material AISI 304
Yield strength = 290 N/mm2
Force F is divided over 2 M6 bolts: F = 1416/2 = 708 N
d = 4.7 mm (M6)
Tension:
2
2 2
708
41 /4.74 4
t
F F
mmdA = = = =
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6. Conclusion
For both lifting parts counts from the stress analysis point of view that the simulation
shows an stress level (lifting plate: max. 377 MPa; cross plate max. 349 MPa) below
the Yield strength (430 MPa).
Deformations on both parts are not critical and can only be a point of discussion for
installation reason.
For what concerns stability of the lifting plate, the linear buckling analyses shows a
comfortable safety margin (buckling mode 1, buckling load factor = 8.9).