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Finite Element Analysis Model of FNAL Coil: Composite Properties and Structural Considerations

This document presents a work-in-progress finite element analysis (FEA) model for the FNAL coil. It focuses on composite material properties, including axial and radial modulus values (40/40 GPa and 40/45 GPa respectively), along with coefficients of thermal expansion (CTE). The model incorporates various shim configurations and structural metrics, such as skin tension and gap closing scenarios under specific conditions. The findings aim to inform design decisions for optimal coil performance across thermal variations and magnetic field strengths.

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Finite Element Analysis Model of FNAL Coil: Composite Properties and Structural Considerations

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  1. FNAL COIL AND STRUCTURE Igor Novitski Work in progress 12-18-12

  2. FEA Model FNAL Coil composite: Az - 40/40 GPa Rad-40/45 GPa CTE az – 3.3 mm/m CTE rad – 2.9 mm/m with SS wedges Coil MP Shim =75um Coil Rad Shim=75um Collar R Shim =250um Collar L Shim =150um Skin delta =0.7mm 15mm skin Iron cut along flux line-less sensitive field option Fe Fe Iron island filler (optional) SS Ti Iron island- rigid structure

  3. Pole compression (50%)=> Shape of lines 1R-2R, 1L-2L and Collar-Yoke Shims 2. Skin tension 3. Yoke – Gap Closing: 3-4 or 4-3 3 4 2L 2R 1L 1R

  4. After Collaring, 300K

  5. After Collaring, 300K

  6. After Collaring, 300K

  7. Closed Yoke, Case 1 (3-4) FNAL VERSION

  8. After Skin Welding, 300K

  9. After Cooling Down, 2K

  10. At B=12T, 2K

  11. After Skin Welding, 300K

  12. After Cooling Down, 2K

  13. At B=11.21T, 2K

  14. At B=11.21T, 2K

  15. At B=12T, 2K

  16. At B=12T, 2K

  17. After Skin Welding, 300K

  18. After Cooling Down, 2K

  19. At B=12T, 2K

  20. After Skin Welding, 300K

  21. After Cooling Down, 2K

  22. At B=11.21T, 2K

  23. After Skin Welding, 300K

  24. After Cooling Down, 2K

  25. At B=11.21T, 2K

  26. ALST ALSS YSTO RCOU COTH ALHO RSHM1 RSHM2 INCY SKWL RIN10 RIN20 RIN70 B0 IcRshim 32. 40. 22. 105. 16. 21. 0.000075 0.000075 -0.008000 0.000700 0.000250 0.000150 -0.000150 11.99 12.76 0.000075 LSHM1 LSHM2 YGPU YGPD LIN10 LIN20 LIN70 YYY 0.000075 0.000075 0.000450 -0.000001 0.000150 0.000075 0.000075 -0.003500 Load PoleR1 PoleR2 MidpR1 MidpR2 PoleL1 PoleL2 MidpL1 MidpL2 SkmaSkav Iron Collar Skey 1. 125.1 71.6 76.2 101.3 117.5 76.4 85.6 95.6 351.2 168.6 517.7 777.9 435.1 2. 113.1 80.8 74.2 100.5 103.5 87.1 84.9 94.1 583.2 323.2 596.5 811.6 470.2 3. 2.1 34.3 135.5 131.5 1.3 34.7 137.5 132.4 589.1 321.4 695.4 1036.1 524.6

  27. Closed Yoke, Case 2 (4-3) FNAL VERSION

  28. After Skin Welding, 300K

  29. After Cooling Down, 2K

  30. At B=12T, 2K

  31. After Skin Welding, 300K

  32. After Cooling Down, 2K

  33. At B=11.21T, 2K

  34. At B=11.21T, 2K

  35. At B=12T, 2K

  36. At B=12T, 2K

  37. After Skin Welding, 300K

  38. After Cooling Down, 2K

  39. At B=12T, 2K

  40. ALST ALSS YSTO RCOU COTH ALHO RSHM1 RSHM2 INCY SKWL RIN10 RIN20 RIN70 B0 IcRshim 32. 40. 22. 105. 16. 21. 0.000075 0.000075 -0.008000 0.000700 0.000250 0.000150 -0.000150 11.99 12.76 0.000075 LSHM1 LSHM2 YGPU YGPD LIN10 LIN20 LIN70 YYY 0.000075 0.000075 0.000450 -0.000150 0.000150 0.000075 0.000075 Load PoleR1 PoleR2 MidpR1 MidpR2 PoleL1 PoleL2 MidpL1 MidpL2 SkmaSkav Iron Collar Skey 1. 115.2 67.1 74.0 92.2 106.8 72.6 84.1 86.2 371.1 175.9 548.4 726.6 466.4 2. 81.3 72.8 75.1 72.5 75.3 76.8 81.4 68.8 643.7 343.2 701.9 854.5 578.6 3. 0.0 25.4 148.0 114.4 0.0 25.4 149.0 116.0 643.7 340.6 761.4 987.7 596.2

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