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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
2d stress analysis of the ts magnet prototype

Stefania Farinon and Pasquale Fabbricatore

material properties in the coil cylindrical coordinate system x radial y axial z azimuthal
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
load steps
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)
conclusions of last meeting
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

hoop stress in external cylinder after cool down
hoop stress in external cylinderafter cool-down

interference=0.1 mm

interference=0.3 mm

mechanical tests
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.

mechanical tests @ 300 k
Mechanical tests @ 300 K

Al stabilizer @ 300 K

stress in cylinder no flanges as function of radial interference after cool down
stress in cylinder (no flanges) as function of radial interference after cool-down

=55 GPa

=140 GPa