Nstx outer tf leg analysis with radius rods added
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NSTX outer TF leg analysis (with radius rods added). Totally 12 radius rods added (6 upper and 6 lower). Bay A. *Full 360 º model *Al blocks connected to springs to simulate umbrella structure (stiffness is calculated from HM’s vv model)

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NSTX outer TF leg analysis (with radius rods added)

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Nstx outer tf leg analysis with radius rods added

NSTX outer TF leg analysis (with radius rods added)

Totally 12 radius rods added (6 upper and 6 lower)

Bay A

*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

5 standard diamonds


Nstx outer tf leg analysis with radius rods added

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

Coil radial displacement is asym because of the non-uniformly distributed diamonds.

Bay D,E (empty bays)

Coil radial displacement (5mm)

Bay A

Coil radial displacement


Nstx outer tf leg analysis with radius rods added

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)


Nstx outer tf leg analysis with radius rods added

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)


Nstx outer tf leg analysis with radius rods added

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

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

Load in the diamond bars: max 26.45KN

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


Nstx outer tf leg analysis with radius rods added

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

Coil radial displacement (5mm)

Coil OOP displacement (4.4mm)

Coil displacement is symm in 360 degrees.

Coil Z displacement (2mm)


Nstx outer tf leg analysis with radius rods added

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

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)


Nstx outer tf leg analysis with radius rods added

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

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


Nstx outer tf leg analysis with radius rods added

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

Coil OOP displacement (4.3mm)

Coil radial displacement (5mm)

Coil Z displacement (2mm)


Nstx outer tf leg analysis with radius rods added

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

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

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)

Ring stress (max 221MPa or 32ksi)


Nstx outer tf leg analysis with radius rods added

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

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

Load in the diamond bars: max 30KN

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)


Nstx outer tf leg analysis with radius rods added

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

Coil OOP displacement (4.3mm)

Coil radial displacement (5mm)

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)

Coil Z displacement (2mm)


Nstx outer tf leg analysis with radius rods added

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

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

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)

Ring stress (max 205MPa or 30ksi)


Nstx outer tf leg analysis with radius rods added

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

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


Nstx outer tf leg analysis with radius rods added

Summary

  • 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.

  • With asym PF curr, results are also similar.

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

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


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