2d stress analysis of the ts magnet prototype stefania farinon and pasquale fabbricatore
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2D STRESS ANALYSIS OF THE TS MAGNET PROTOTYPE
Stefania Farinon and Pasquale Fabbricatore
Stefania Farinon
Young modulus of pure Al bare conductor
Stefania Farinon
Material propertiesin the coil cylindrical coordinate system, x=radial, y=axial, z=azimuthal
pure Al/Al alloytemp (K) E (GPa) 10-3 dl/l Poisson
4-300 55/79 4.2 0.33
300-400 50/70 2.3 0.33
Rutherford cabletemp (K) Ex (GPa) Ey (GPa) Ez (GPa) 10-3 dl/l Poisson
4-300 120 120 15 55 2.6 0.2
300-400 90 90 10 50 1.26 0.2
fiberglass (parallel to fibers)
temp (K) Ex (GPa) 10-3 dl/l Poisson
4-300 23 2.5 0.15
300-400(before impregn.) 5 1.23 0.37
300-400(after impregn.) 23 1.0 0.15
fiberglass (perp. to fibers)
temp (K) Ex (GPa) 10-3 dl/l Poisson
4-300 15 7.1 0.15
300-400(before impregn.) 1 1.23 0.37
300-400(after impregn.) 15 3.0 0.15
friction coefficient: m=0.2 before impregnationm=0.9 after impregnation
Stefania Farinon
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)
Stefania Farinon
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
Stefania Farinon
hoop stress as function of radial interference after cool-down
Stefania Farinon
Von Mises stress as function of radial interference after cool-down
Stefania Farinon
hoop stress in external cylinderafter cool-down
interference=0.1 mm interference=0.3 mm
Stefania Farinon
hoop Von Mises stress as function of radial interference after cool-down
Stefania Farinon
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.
Stefania Farinon
Mechanical tests @ 300 K
Al stabilizer @ 300 K
Stefania Farinon
hoop stress as function of radial interference after cool-down
=55 GPa =140 GPa
Stefania Farinon
Von Mises stress as function of radial interference after cool-down
=55 GPa =140 GPa
Stefania Farinon
stress in cylinder (no flanges) as function of radial interference after cool-down
=55 GPa =140 GPa