18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 1/14 CLIC Two-Beam Module type 0.RF Network. Drive-Beam Main-Beam

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 2/14 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 3/14 Boundary conditions: Fixed supports on Waveguides and Input Waveguides. 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 surfaces 1 rst Subassembly 2 nd Subassembly

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 4/14 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. 1 rst and 2 nd Subassembly Hybrid Waveguide Force of 301,4 N. Pressure of 1 bar on all Waveguide surfaces (Red). Bellows Flange Resultant force of 38,6 N along the axis of CMF. CMF (taper 1). Axis of CMF

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 5/14 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). b)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. 1 rst and 2 nd 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 N along the axis of CMF. CMF (taper 2). Axis of CMF

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 6/14 Mechanical loads: 1 rst and 2 nd 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 7/14 Results: Contact 1 rst Subassembly2 nd Subassembly Gap of 3 mm before deformation.

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 8/14 Results: 1 rst Subassembly 24,2 MPa 51 MPa Approximately 12 MPa

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 9/14 Results: 69 MPa 20 MPa Approximately 7 MPa 2 nd Subassembly

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 10/14 Results: Deformation following Y axis 1 rst Subassembly HybridWaveguide 2 nd Subassembly Y Y Y Y

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 11/14 Results: Deformation following X axis 2 nd Subassembly1 rst Subassembly XX X X

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 12/14 Results: Deformation following Z axis 1 rst Subassembly 2 nd Subassembly Z Z ZZ

18/04/12 Arnaud ACKER Mechanical Analysis of RF Network 13/14 Results: Pictures taken at BODYCOTE on 2 nd 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 14/14 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 1 st CMF and 69 MPa for the 2 nd CMF. 2)WG → 24,2 MPa for the 1 st WG and 20 MPa for the 2 nd 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