1. -1- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China MICE/MuCool Coupling Magnets Vacuum Vessel Design 2009-01-15 Guo, Xinglong Institute of Cryogenics and Superconductivity Technology Harbin Institute of Technology, Harbin, China

2. -2- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Outline Vacuum Vessel Structure FEA analysis of the vacuum vessel FEA analysis of the sleeve cap FEA analysis of the rectangular neck deflection Conclusion

3. -3- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Vacuum Vessel Structure Rectangular neck Sleeve Gusset Cap Cylindrical part Removable window Nut Gasket

4. -4- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China

5. -5- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China 1 2 3 4 1/2 symmetry model FEA Analysis of the Vacuum Vessel

6. -6- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Assumptions The force on the rectangular neck top plate of the vacuum vessel, 100kg, is loaded uniformly. The force on the sleeve cap is loaded uniformly on an annular plate with 37mm ID and 80mm OD. The cap thickness is 40mm. Loads DX, DY and DZ of vacuum vessel gussets surface welded to the RF cavities vacuum vessel are set as zero. Vessel gravity. Out pressure of 1 bar. The force on the top plane 100kg. The force on the sleeve caps, different values at different stages.

7. -7- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Sleeve No.1234 Stage 1 (1g+1bar)0000 Stage 2 (1g+1bar+300K)74.978.137.534.7 Stage 3 (1g+1bar+4K)124.812887.471.8 Stage 4 (1g+1bar+4K+mag. force)61.8190.724.6147.2 Force on the sleeve caps at different stages (kN)

8. -8- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Deflection at Different Stages Stage 1 (1g+1bar)

9. -9- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Stage 2 (1g+1bar+300K)

10. -10- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Stage 3 (1g+1bar+4K)

11. -11- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Stage 4 (1g+1bar+4K+mag. force)

12. -12- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Comments The peak displacement is about 0.50 mm at stage 1 and increased to 0.54 mm at stage 4. The peak displacement is decided by the outer pressure of 1 bar. The peak displacement can be decreased by adding reinforcement.

13. -13- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Von Misses Stress at Different Stages Stage 1 (1g+1bar)

14. -14- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Stage 2 (1g+1bar+300K)

15. -15- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Stage 3 (1g+1bar+4K)

16. -16- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Stage 4 (1g+1bar+4K+mag. force)

17. -17- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Comments Material Tensile Stress (MPa) Yield Stress (MPa) Allowable Stress (MPa) 304SS520205137 The peak stress is 123 MPa and 122 MPa respectively at stage 1 and 2. The peak stress is 138 MPa at stage 3. The design at stage 1, 2 and 3 can meet with the pressure code requirement. The peak stress is 192 MPa at stage 4.

18. -18- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Von Misses Stress of Different Parts at Stage 4 (1g+1bar+4K+ mag. force) Main body

19. -19- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Gussets around sleeve 2 b) Gussets around sleeve 2

20. -20- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Sleeve 2

21. -21- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Sleeve 2

22. -22- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Cap on sleeve 2

23. -23- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Comments The peak stress of the main body is 135 MPa, which is less than the allowable stress. The max. stress of the gussets around sleeve 2 is 142 MPa.The max. stress of the sleeve 2 is 194 MPa. The two stress are induced by the deformation compatibility of adjacent parts. They are the secondary stress Q. The max. stress around the hole of the cap is 195 MPa.This stress is bending stress linear distributed in the cap thickness direction. It is primary bending stress Pb, and the allowable stress can be one and a half times the allowable stress [σ] that is 206 MPa.

24. -24- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China FEA Analysis of the Sleeve Cap Sleeve Cap Nut Gasket Screw

25. -25- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China 1 bar 190.7kN Axisymmetric model

26. -26- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Assumptions The force on the sleeve cap transferred from cold mass support straps is loaded uniformly on an annular plate with 35 mm ID and 50 mm OD not including the area of the chamfer annular part. Loads DY of sleeve bottom plane is set as zero Outer pressure of 1 bar The force on the sleeve cap transferred from cold mass support straps 190.7 kN

27. -27- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China A C B Von Misses stress

28. -28- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Von Misses stress linearization results along A-B 183 MPa

29. -29- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Von Misses stress linearization results along A-C 164 MPa

30. -30- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Comments The peak stress around the hole of the cap is 223 MPa. The Von Misses stress is 164 MPa after linearization along the thickness direction of the cap. The linearization shows that the local membrane stress P L plus local bending stress P b less than one and a half times the allowable stress [σ] that is 206 MPa. The sleep cap with an standard nut can meet with the strength demand.

31. -31- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China FEA Analysis of the Rectangular Neck Deflection No removable windows No reinforcement

32. -32- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China 1/4 symmetry local model

33. -33- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Assumptions The areas at the end face (45°) of cylindrical part are fixed. Loads DX, DY, DZ of the areas at the end face (45°) of cylindrical part are set as zero. Outer pressure of 1 bar.

34. -34- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Deflection, without removable windows and additional reinforcement

35. -35- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Deflection, with removable windows and additional reinforcement

36. -36- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Comments The removable windows and the added reinforcement can decrease the deflection of the rectangular neck greatly. With the detail local structure, the peak deflection of the rectangular neck can be below 0.3mm.

37. -37- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China The peak Von Misses stress can meet with the strength demand at stage 1, 2 and 3 very well. Local analysis of sleeve with standard nut shows the vessel can meet with the strength demand. Local analysis of rectangular neck deflection shows the removable windows and the added reinforcement can decrease the peak deflection of the rectangular neck below 0.3 mm. Conclusion

38. -38- ICST/HIT The 23 rd MICE Collaboration Meeting Jan.13 to 17, Harbin/China Click to edit company slogan. Icst.hit.edu.cn