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