NSTX outer TF leg analysis (with radius rods added)

*Full 360º model

*Al blocks connected to springs to simulate umbrella structure (stiffness is calculated from HM’s vv model)

*5 standard diamonds are exactly in the bays that are possibly to place them.

*totally 12 radius rods added: 6 upper and 6 lower.

*cases with diamonds and without diamonds are studied

*cases with symm and asym PF curr are studied

Bay A Totally 12 radius rods added (6 upper

and 6 lower)

5 standard diamonds

1. welded ring (5” rect tube with 3/8” thickness), 5 standard full diamonds (2”x2”), symm PF curr

Bay A

Bay D,E (empty bays)

Coil radial displacement is asym because of the non-

uniformly distributed diamonds.

Coil radial displacement (5mm)

Coil radial displacement

1. welded ring (5” rect tube with 3/8” thickness), 5 standard full diamonds (2”x2”), symm PF curr

Coil OOP displacement significantly reduced to 4.4mm

(0.173”)

Coil OOP displacement (4.4mm)

Coil Z displacement (2mm)

1. welded ring (5” rect tube with 3/8” thickness), 5 standard full diamonds (2”x2”), symm PF curr

Max stress reduced to 223MPa or 32.3ksi (at the connection between ring and coil). Most

places within 99.4MPa or 14.4ksi (at midplane)

Coil stress

Ring stress (max 225MPa or 32.6ksi)

1. welded ring (5” rect tube with 3/8” thickness), 5 standard full diamonds (2”x2”), symm PF curr

NODE Fr Ftheta Fz 326 0.0000 -0.32222E+06 0.0000 327 0.0000 0.32088E+06 0.0000 13037 0.0000 -0.31066E+06 0.0000 13038 0.0000 0.31009E+06 0.0000 13039 0.0000 -0.32499E+06 0.0000 13040 0.0000 0.32532E+06 0.0000 (73,280 lbs) 13041 0.0000 -0.32048E+06 0.0000 13042 0.0000 0.32046E+06 0.0000 13045 0.0000 -0.31380E+06 0.0000 13046 0.0000 0.31262E+06 0.0000 13049 0.0000 -0.30299E+06 0.0000 13050 0.0000 0.30551E+06 0.0000

Load in the radius rods (max 325KN or 73,280 lbs): - upper

rods; + lower rods

Load in the diamond bars: max 26.45KN

2. welded ring (5” rect tube with 3/8” thickness), no diamond, symm PF curr

Coil displacement is symm in 360 degrees.

Coil radial displacement (5mm)

Coil Z displacement (2mm)

Coil OOP displacement (4.4mm)

Max stress reduced to 222MPa or 32.2ksi (at the connection between ring and coil). Most

places within 98.9MPa or 14.3ksi (at midplane)

Coil stress

Ring stress (max 216MPa or 31.3ksi)

2. welded ring (5” rect tube with 3/8” thickness), no diamond, symm PF curr

Load in the radius rods (max 312KN or 70,363 lbs): - upper

rods; + lower rods

2. welded ring (5” rect tube with 3/8” thickness), no diamond, symm PF curr

NODE FX FY FZ 326 0.0000 -0.31237E+06 0.0000 (70,363 lbs) 327 0.0000 0.31233E+06 0.0000 7107 0.0000 -0.31237E+06 0.0000 7108 0.0000 0.31233E+06 0.0000 7109 0.0000 -0.31237E+06 0.0000 7110 0.0000 0.31233E+06 0.0000 7111 0.0000 -0.31237E+06 0.0000 7112 0.0000 0.31233E+06 0.0000 7115 0.0000 -0.31237E+06 0.0000 7116 0.0000 0.31233E+06 0.0000 7119 0.0000 -0.31237E+06 0.0000 7120 0.0000 0.31233E+06 0.0000

3. welded ring (5” rect tube with 3/8” thickness), 5 standard full diamonds (2”x2”), asym PF curr

Coil radial displacement (5mm)

Coil Z displacement (2mm)

Coil OOP displacement (4.3mm)

Max stress is 209MPa or 30.3ksi (at the connection

between ring and coil). Most places within 93MPa or 13.5ksi

(at midplane)

Coil stress

Ring stress (max 221MPa or 32ksi)

3. welded ring (5” rect tube with 3/8” thickness), 5 standard full diamonds (2”x2”), asym PF curr

PF curr:716/84/164 (upper) -59/-72/-62 (lower)

280/280 (upper) 0/0 (lower)120/120 (upper) -240/-240 (lower)

-160/-160 (upper and lower)-384/-384 (upper and lower)

Load in the radius rods (max 378KN or 85,263 lbs): - upper

rods; + lower rods

Load in the diamond bars: max 30KN

3. welded ring (5” rect tube with 3/8” thickness), 5 standard full diamonds (2”x2”), asym PF curr

NODE FX FY FZ 256 0.0000 -0.37452E+06 0.0000 257 0.0000 0.27223E+06 0.0000 12967 0.0000 -0.36245E+06 0.0000 12968 0.0000 0.26177E+06 0.0000 12969 0.0000 -0.37852E+06 0.0000 (-85,263 lbs) 12970 0.0000 0.27534E+06 0.0000 12971 0.0000 -0.37366E+06 0.0000 12972 0.0000 0.27078E+06 0.0000 12975 0.0000 -0.36857E+06 0.0000 12976 0.0000 0.26139E+06 0.0000 12979 0.0000 -0.35685E+06 0.0000 12980 0.0000 0.25510E+06 0.0000 (57,463 lbs)

4. welded ring (5” rect tube with 3/8” thickness), no diamond, asym PF curr

Coil radial displacement (5mm)

Coil Z displacement (2mm)

Coil OOP displacement (4.3mm)

PF curr:716/84/164 (upper) -59/-72/-62 (lower)

280/280 (upper) 0/0 (lower)120/120 (upper) -240/-240 (lower)

-160/-160 (upper and lower)-384/-384 (upper and lower)

Max stress is 210MPa or 30.5ksi (at the connection

between ring and coil). Most places within 93MPa or 13.5ksi

(at midplane)

Coil stress

Ring stress (max 205MPa or 30ksi)

PF curr:716/84/164 (upper) -59/-72/-62 (lower)

280/280 (upper) 0/0 (lower)120/120 (upper) -240/-240 (lower)

-160/-160 (upper and lower)-384/-384 (upper and lower)

4. welded ring (5” rect tube with 3/8” thickness), no diamond, asym PF curr

Load in the radius rods (max 366KN or 82,470 lbs): - upper

rods; + lower rods

4. welded ring (5” rect tube with 3/8” thickness), no diamond, asym PF curr

NODE FX FY FZ 256 0.0000 -0.36612E+06 0.0000 (-82,470 lbs) 257 0.0000 0.26223E+06 0.0000 (59,068 lbs) 7037 0.0000 -0.36612E+06 0.0000 7038 0.0000 0.26223E+06 0.0000 7039 0.0000 -0.36612E+06 0.0000 7040 0.0000 0.26223E+06 0.0000 7041 0.0000 -0.36612E+06 0.0000 7042 0.0000 0.26223E+06 0.0000 7045 0.0000 -0.36612E+06 0.0000 7046 0.0000 0.26223E+06 0.0000 7049 0.0000 -0.36612E+06 0.0000 7050 0.0000 0.26223E+06 0.0000

Summary

1. With symm PF curr, if adding radius rods, with or without diamonds doesn’t have much difference. And non-uniformly distributed diamonds will produce asym effect in 360 degrees in coil displacement and stress.

2. With asym PF curr, results are also similar.

3. So diamonds are not necessary with the presense of radius rods.

4. Radius rods have very high loads, about 70,000 lbs for symm PF curr and 82,500 lbs for asym PF curr.