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2d stress analysis of the ts magnet prototype

2d stress analysis of the ts magnet prototype. Stefania Farinon and Pasquale Fabbricatore. Young modulus of pure Al bare conductor. Material properties in the coil cylindrical coordinate system, x=radial, y=axial , z=azimuthal. Rutherford cable. pure Al/Al alloy.

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2d stress analysis of the ts magnet prototype

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  1. 2d stress analysis of the ts magnet prototype Stefania Farinon and Pasquale Fabbricatore

  2. Young modulus of pure Al bare conductor

  3. Material propertiesin the coil cylindrical coordinate system, x=radial, y=axial, z=azimuthal • Rutherford cable • pure Al/Al alloy • fiberglass (parallel to fibers) • fiberglass (perp. to fibers) • friction coefficient: m=0.2 before impregnationm=0.9 after impregnation

  4. Load steps • winding around steel mandrel (E=210 GPa) • heating up to 400 K → change of fiberglass properties • cooldown to 300 K • steel mandrel removal • shrink fit of external cylinder (axial and radial interference) • cool-down to 4K • energization (Lorentz forces calculated by Mau in different configurations)

  5. Conclusions of last meeting • winding, impregnation and shrink fitting are not critical operations for conductors • most of the stress in conductors, which strongly depends on the interference, is due to cool-down • energization, even in the worst case (+coil14 +coil15 120% of the current) doesn’t significantly worsen the conductor stress status next slides are focused on the effect of interference on the stress after cool down

  6. hoop stress as function of radial interference after cool-down

  7. Von Mises stress as function of radial interference after cool-down

  8. hoop stress in external cylinderafter cool-down interference=0.1 mm interference=0.3 mm

  9. hoop Von Mises stress as function of radial interference after cool-down

  10. Mechanical tests • from Vito data it is possible to extract the measure of both stabilizer (EAl) and conductor (Econd) Young moduli • since stabilizer and Rutherford cable are in parallel (hoop direction): • for instance: =50 GPa, ~30-35/0.001=30 GPa, =5.5 mm2, =31 mm2, =25.5 mm2 =120-140 GPa.

  11. Mechanical tests @ 300 K Al stabilizer @ 300 K

  12. hoop stress as function of radial interference after cool-down =55 GPa =140 GPa

  13. Von Mises stress as function of radial interference after cool-down =55 GPa =140 GPa

  14. stress in cylinder (no flanges) as function of radial interference after cool-down =55 GPa =140 GPa

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