nstxu-calc-132-06-01 tf flex joint and stub … · superbolt jack-screw tensioned nut •...
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NSTXU‐CALC‐132‐06‐01TF Flex Joint and TF Bundle Stub
02-03-11
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Study Goals
• Purpose:To determine if the upgrade TF flex joint and bundle stub design pg j gis adequate to meet the requirements of the NSTX Structural Design Criteria, specifically, the fatigue requirements of Section I-4.2 for 60,000 full power cycles without failure. – Strap Lamellae
• Stresses• Bucklingg
– Bolted Joints• Thread shear stress• Contact status and pressurep
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Outline
• Wire EDM Flex Strap and Joint Design– Flex Strap– Superbolt Jack-screw Tensioned NutSuperbolt Jack screw Tensioned Nut
• Analysis– Magnetostatic
• Magnetic Flux DensityMagnetic Flux Density• Current Density
– Transient Thermal• Temperature
St ti St t l– Static Structural• Conductor Stress• Lamella Stress• Thread and Bolt Stress• Contact Pressure
• Development Tests• Conclusion
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NSTX CSU Flex Strap with Applied Boundary Conditions
30 Lamellae:- .075” thick -.014” gap between lamellaMat’l: Annealed C18150 H01 Cu Cr Zr
Rout = 5.688”
-Mat’l: Annealed C18150 H01 Cu-Cr-Zr
Bvert= .24 T
7.5”
Rin = 3.255”
8x 5/8” Bolt Hole
Upper Umbrella Assy
vert
Uvert thermal = .3 in
I = 130 kAUrad thermal = .018 in5”Utor twist = .10 in
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Flex Joint Design using Superbolt Jack-ScrewTensioned Nuts
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Superbolt Jack-Screw Tensioned Nut
• Advantages of using Superbolts– Easy Installation and removal of individual flex assemblies– Low torque required: ~ 11 ft-lbf– Smaller inner-radius of flex strap required allows use of more– Smaller inner-radius of flex strap required, allows use of more
laminations, reducing the maximum lamination stress
SB8-062-11x6.00, Mat’l: Inconel 718 H.T.
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Coupled Maxwell Magnetostatic and ANSYS Transient Thermal/ Static Structural Analysis Block Diagram
Heat Temp
Magnetostatics (Maxell)
Lorentz Forces
g ( )
Note: This sequential, one-way coupled analysis is only valid if the bolted joints do not separate, and if the electrical and thermal contact resistances are a weak function of contact pressure, which is true in
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p ,this case if the minimum local contact pressure is above 1500 psi.
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SolidWorks Model of 3 Strap Assembly with Simplified OH, PF, and TF Coils
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Maxwell Magnetostatic Analysis: DM Solid Model310 Laminations/ Strap
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Maxwell Magnetostatic Results: Current DensityCurrent Scenario #82, 30 Laminations/ Strap
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Maxwell Magnetostatic Results: Ohmic LossCurrent Scenario #82, 30 Laminations/ Strap
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Maxwell Magnetostatic Results: Magnetic Flux DensityCurrent Scenario #82, 30 Laminations/ Strap
Strap Br Bz BθMaxwell 1 -0.124 -0.234 -1.953
2 -0.123 -0.232 -1.9533 -0.123 -0.229 -1.954
R. Hatcher - -0.133 -0.290 -1.903
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R. Hatcher 0.133 0.290 1.903
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ANSYS Thermal and Structural Analysis Solid Model30 Laminations/ Strap
Superbolt pretension = 25000 lbf
Torqued-bolt pretension ~ 6700 lbf
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ANSYS Thermal and Structural Analysis Mesh30 Laminations/ Strap
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# Nodes = 2,468,759# Elements = 518,097
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Parts Common Between Maxwell and ANSYS Analysis30 Laminations/ Strap
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ANSYS Transient Thermal Results: TemperatureCurrent Scenario #82, 30 Laminations
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ANSYS Static Structural Results: Tresca Stress 1Current Scenario #82, 30 Laminations/ Strap
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ANSYS Static Structural Results: Tresca Stress 2Current Scenario #82, 30 Laminations/ Strap
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ANSYS Static Structural Results: Tresca Stress 4Current Scenario #82, 30 Laminations/ Strap
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ANSYS Static Structural Results: Lamination Tresca StressCurrent Scenario #82, 30 Laminations/ Strap, Center Strap
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Estimated C18150 H01 CuCrZr Fatigue S-
60
70
gN Curve
Su = 58 ksi
50
) 20x Cycles
30
40
tren
gth
(ksi
) 20x Cycles
2x Stress
20
S -S
t 2x Stress
Ctr Flex Peak
0
10
1 00E+03 1 00E+04 1 00E+05 1 00E+06 1 00E+07 1 00E+08
22
1.00E+03 1.00E+04 1.00E+05 1.00E+06 1.00E+07 1.00E+08N - Number of Cycles
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ANSYS Static Structural Results: Joint Tresca StressCurrent Scenario #82, 30 Laminations/ Strap
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Modified Goodman Diagram: C18150 TL04 CuCrZr
50
60 Thread Tresca Stress
2/3
Su = 79 ksiSy = 75
40
σ a(p
si)
Sy 75 ksi
30
Am
plitu
de, σ
Se
10
20
Stre
ss A
00 10 20 30 40 50 60 70 80 90
2/3 Sy Su
24
Mean Stress, σm (psi)
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Modified Goodman Diagram: Inconel 718 AMS 5663
140
160 ∅5/8" BoltTension Stress
.9 Sy
Su = 180
100
120
σ a(p
si)
y
60
80
Am
plitu
de,
Se
20
40
Stre
ss
00 20 40 60 80 100 120 140 160 180 200
Mean Stress, σm (psi)
.9 Sy Su
25
, m (p )
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ANSYS Static Structural Results: 5/8” Bolted Contact PressureCurrent Scenario #82, 30 Laminations/ Strap
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Min. Pressure ~ 4500 psi
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ANSYS Static Structural Results: 3/8” Bolted Contact PressureCurrent Scenario #82, 30 Laminations/ Strap
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Min. Pressure ~ 2500 psi
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Flex Strap and Bolted Joint Design Verification Tests
• Tests Performed at 3 Different Levels– Material Level
• C18150 H01 fatigue strength (R0)C18150 H01 fatigue strength (R0)– Stub Joint Level
• HeliCoil insert pull-out strength in C18150 copper stub, static and fatigue• Inconel 718 custom Superbolt nut/ stud fatigue strength
– Flex Strap Assembly Level– Flex Strap Assembly Level• Manufacturability• In-plane bending stiffness• Cyclic, simulated maximum combined loads• Contact pressure distributionContact pressure distribution
– Bolt pretension only– Bolt pretension + simulated maximum combined-load
• Superbolt nut tensioned in umbrella segment mock-up
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Conclusions
1. Lamination Stress: Excluding singularities, the maximum Tresca stress in the laminations is 18.9 ksi. To satisfy the requires of the NSTX Structural Design Criteria, the fatigue strength at 60 K cycles must be greater than twice this stress or the fatigue strength at 1 2 E06 cyclescycles must be greater than twice this stress, or the fatigue strength at 1.2 E06 cycles (20x N) must be equal to or greater than this stress, whichever is the more severe requirement. – The fatigue S-N curve for C18150 copper-zirconium, with the maximum lamination Tresca stress
plotted at N = 60 K cycles, is shown above. The lamination stress is slightly below the 2x stress level and meets all the requirement of the Design Criteriaand meets all the requirement of the Design Criteria.
2. Copper Flag Thread Stress:The average shear stress in the copper threads is 34.8 ksi. To satisfy the Design Criteria, the shear stress must be less than 0.6 Sm = .4 Sy = 37.5 ksi.
f G f C181 0– The Modified Goodman diagram for C18150 copper-chromium-zirconium, with thread Tresca stress plotted, is shown above. The thread stress meets all the requirements of the Design Criteria.
3. Contact Status/ Pressure:Results show that none of the joints separate, and that the minimum local contact
i i t l 2600 i hi h i 1100 i b th i ipressure is approximately 2600 psi, which is 1100 psi above the minimum requirement.– Initial assumptions are correct, sequential one-way coupled model is valid.
4. Lamination Buckling Load Multiplier Factor (LMF):
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The 1st mode LMF is 58 (see Appendix), well above the Design Criteria linear buckling requirement of 5.
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Appendix A
Lamella Stress Linearization
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ANSYS Static Structural Results: Lamination Tresca Stress Current Scenario #82, 30 Laminations/ Strap
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ANSYS Static Structural Results: Lamination Stress SingularityCurrent Scenario #82, 30 Laminations/ Strap, Center Strap
.006”
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ANSYS Static Structural Results: Stress LinearizationCurrent Scenario #82, 30 Laminations/ Strap, Worst-Case Lamination
Total
Bending
Peak
Bending + Membrane
Membrane
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Appendix B
Lamella Buckling Analysis
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Single Lamination Linear Buckling Model Results
3rd ModeLoad Multiplier = 117.6
1st ModeLoad Multiplier = 58.4
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2nd ModeLoad Multiplier = 73.0
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Appendix C
Flex Strap Dynamic Load Factor
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tr ~ 6 ms
Centered Plasma Disruption: Effective Pulse Duration
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Modal Analysis Results: Flex Strap Mode 1 = 65 Hz
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1st Mode