18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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CLIC Two-Beam Module type 0. RF Network.
Drive-Beam
Main-Beam
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Model CATIA is consist of:
2 Waveguides and Cooling Tubes 3 Reinforcements 2 Choke Mode Flanges 2 Hybrids 2 Compact Loads 4 Splitters 16 Input Waveguides 26 Flanges
Model CATIA Model ANSYS
Compact Load
Hybrid
Splitter
Input Waveguides
Waveguide and Cooling Tube
Choke Mode Flange
Model ANSYS is consist of: 2 Waveguides and Cooling Tubes 3 Reinforcements 2 Choke Mode Flanges 2 Hybrids 2 Compact Loads 4 Splitters 16 Input Waveguides 26 Flanges → 8 Flanges
Reinforcements
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Boundary conditions: Fixed supports on Waveguides and Input Waveguides.
Fixed supports on the 4 surfaces
Fixed supports on the 4 surfaces
Fixed support → Tx = 0, Ty = 0, Tz = 0, Rx = 0, Ry = 0, Rz = 0 (T Translation, R Rotation)
Fixed supports on the 4 surfacesFixed supports on the 4 surfaces
1rst Subassembly
2nd Subassembly
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Mechanical loads:
I. Earth Gravity on the RF Network. II. Vacuum inside of the RF Network.
1) A force of 340 N both sides of bellows due to vacuum can be divided up as follows:a) Application of a pressure of 1 bar (0,1 MPa) on all Waveguide surfaces.
The result of all this is a force of 38,6 N along the axis of CMF (Pumping Effect).b) Application of a force of 301,4 N on the Bellows Flange corresponding to a pressure of 1 bar on the Choke
Mode Flange (taper 1) and the Bellows Flange.
1rst and 2nd Subassembly
Hybrid
Waveguide
Force of 301,4 N.
Pressure of 1 bar on all Waveguide surfaces (Red).
Bellows Flange
Resultant force of 38,6 Nalong the axis of CMF.
CMF (taper 1).
Axis of CMF
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Mechanical loads:
c) Application of a pressure of 1 bar (0,1 MPa) on the Hybrid on all its external surfaces. The result of all this is a force of 64,8 N along the axis of the CMF (Pumping Effect).
d) Application of a force of 275,2 N on the Bellows Flange corresponding to a pressure of 1 bar on the Choke Mode Flange (taper 2) and the Bellows Flange.
1rst and 2nd Subassembly
Hybrid
Waveguide
Force of 275,2 N.
Pressure of 1 bar on all Hybrid external surfaces (Red).
Bellows Flange
Resultant force of 64,8 Nalong the axis of CMF.
CMF (taper 2).
Axis of CMF
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Mechanical loads:
1rst and 2nd Subassembly
2) Application of a pressure of 1 bar on all the external surfaces of Splitters and Input Waveguides.
Hybrid
Input Waveguides Pressure of 1 bar on all external surfaces (Red).
Splitters
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Results:
Contact
Contact
1rst Subassembly 2nd SubassemblyGap of 3 mm before deformation.
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Results: 1rst Subassembly
24,2 MPa
51 MPa
Approximately 12 MPa
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Results:
69 MPa
20 MPa
Approximately 7 MPa
2nd Subassembly
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Results: Deformation following Y axis
1rst SubassemblyHybrid Waveguide
2nd Subassembly
Y Y
Y Y
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Results: Deformation following X axis
2nd Subassembly1rst Subassembly
X X
X X
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Results: Deformation following Z axis
1rst Subassembly 2nd Subassembly
Z Z
Z Z
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
13/14
Results: Pictures taken at BODYCOTE on 2nd subassembly without reinforcements.
Before vacuum
Under vacuum
Deformed bellows.Result of compression (negative Z axis and positive X axis).
Under vacuumBefore vacuum
Y
X
Z
18/04/12 Arnaud ACKER
Mechanical Analysis of RF Network
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Conclusion The greatest deformations are found on the Waveguides and CMF region:
1) The phase error could appear.2) Friction forces introduced if 2 tapers of CMF are in contact.
The greatest stresses are found in CMFs and at the feet of Waveguides (around PETS Compact Couplers zone):
1) CMF → 51 MPa for the 1st CMF and 69 MPa for the 2nd CMF.2) WG → 24,2 MPa for the 1st WG and 20 MPa for the 2nd WG.
Reinforcements ribs are not sufficient to provide needed the Waveguides stiffness. I would recommend to re-design the Reinforcements or find an alternative solution.
Concerning the CMF. The use of an equivalent cylinder for the simplification of bellows is not a recommended method since the results are not similar to the reality.
Bellows