1. NSTX Supported by NSTX Centerstack Upgrade Project Meeting P. Titus/EA Branch February 2 2011 Global Model Update Status P4 Quench Vessel/Bellows Analysis Response Spectra Modal Analysis TF Shear Stress/Influence Coefficients Pedestal Analysis Status

2. Jan 19 2011 IGES from Mark 2010 IGES from Mark V’s aren’t misaligned

3. Plates are modeled as 1 inch rather than 1.5 r,19,.0254 ! Arch reinforcing plates

4. Proposed Reinforcement Analyzed Reinforcements The Ring is Segmented? What are the loads from the TF flag/ring

5. – Inclusion of Pete Rogoff’s Bellows Geometry, ref Calc # NSTXU CALC 133-10-00 -Inclusion of Tile Weights from Art Brooks Calculation n# NSTXU CALC 11-03-00 Cas5.dat r,11,.030/39.37 ! Bellows Thickness /COM MAT,11 Bellows EX,11,200e9 $DENS,11,8.0E3 $ALPX,11,1.7E-5 /COM MAT,8 Center Stack Casing EX,8,200e9, $DENS,8,12.248E3 $ALPX,8,1.7E-5 !per Jan 17 email from A.Brooks NUXY,8,.3 Run #27 Global Model Updates Mat 8 Mat 11

6. NSTX CSU Seismic Analysis Response Spectra Modal Analysis /solu antype,modal !modopt,subsp,8 ! this hung during solution modopt,lanb,24 Solve $save $fini /solu antype, spectrum $spopt,sprs,24,yes svtyp,2,2.0*9.8 $sed,1,0,0 FREQ,.55555556,.58823529,.625,.66666667,.71428571,.76923077,.83333333,.90909091,1 FREQ,1.1111111,1.25,1.4285714,1.6666667,2,2.5,3.3333333,4.1666667,5 FREQ,20,100 sv,0.0,.047,.05,.053,.057,.061,.065,.071,.077,.085 sv,0.0,.095,.106,.122,.142,.17,.213,.284,.36,.36 sv,0.0,.36,.144 sv,0.05,.031,.033,.035,.038,.041,.043,.047,.051,.057 sv,0.05,.063,.071,.081,.095,.113,.142,.189,.24,.24 sv,0.05,.24,.096 Solve $save $fini /solu antype,modal $mxpand,24,,,yes modopt,lanb,24 $solve $save $fini /solu antype,spectrum $srss,,disp $solve $save fini file.mcom /COM,ANSYS RELEASE 13.0 UP20101012 12:49:19 01/23/2011 /COM, file.mcom LCOPER,ZERO LCDEFI,1, 1, 1 LCFACT,1, -0.217989 LCASE,1 LCOPER,SQUARE LCDEFI,1, 1, 2 LCFACT,1, -0.564958 LCOPER,ADD,1,MULT,1 LCDEFI,1, 1, 3 LCFACT,1, 0.405109 LCOPER,ADD,1,MULT,1 LCDEFI,1, 1, 4 LCFACT,1, 0.435993E-01 LCOPER,ADD,1,MULT,1 LCDEFI,1, 1, 5 LCFACT,1, -0.130370E-01 LCOPER,ADD,1,MULT,1 LCDEFI,1, 1, 6 LCFACT,1, -0.562580E-02 LCOPER,ADD,1,MULT,1 LCDEFI,1, 1, 7 LCFACT,1, -0.352451E-02 LCOPER,ADD,1,MULT,1 LCDEFI,1, 1, 8 LCFACT,1, 0.177986E-02 LCOPER,ADD,1,MULT,1 LCDEFI,1, 1, 11 LCFACT,1, 0.590136E-03 LCOPER,ADD,1,MULT,1 LCDEFI,1, 1, 13 LCFACT,1, 0.109637E-02 LCOPER,ADD,1,MULT,1 LCOPER,SQRT The last step is a macro created by the ANSYS script that combines the individual modal responses multiplied by their participation factor. /input,file,mcom. In the analysis performed for this calculation there is a difference between database created by reading the db file and the database from the results file. The file.mcom script should be run after the /post1 and set,1,1 commands to restore the proper database for the solution phase.

7. [14] SEISMIC ANALYSIS OF THE NATIONAL COMPACT STELLERATOR EXPERIMENT (NCSX) PSFC/JA-04-25 Peter H. Titus May 17 2004 Mode 7 Run #4 Mode 8 Run #4 Run #7 First Mode Stress – SRSS of All Loads

8. .5g + deadweight Static AnalysisResponse Spectra Modal Analysis

10. Seismic Stresses in Plate Elements

12. Mode 4 Bottom Bellows Modal Analysis Bottom Bellows Static.5g Lateral Analysis

14. Without and With Plasma Input pfcu 33,10,1,1.1 1,0,5.88,-5.88,0,5.88,-5.88,0,5.88,-5.88,0 2,0,5.808,-5.808,0,5.808,-5.808,0,5.808,-5.808,0 3,0,5.76,-5.76,0,5.76,-5.76,0,5.76,-5.76,0 4,0,5.664,-5.664,0,5.664,-5.664,0,5.664,-5.664,0 5,.359832,.37722,.371112,.390576,.408816,-.354936,-.30714,-.258432,.476532,5.06088e-30 6,-.010924,.04144,-.10572,-.0533,-5.5200006e-4,.146874,.171922,.196724,-.112594,-7.3322e-31 7,.0236286,.0969048,-.064197,.007002,.0787428,.2412108,.2894778,.3373632,-.1209546,-5.64624e-31 8,.1054018,.1716624,.0594398,.1269534,.1944908,-.0277578,.0517062,.1312458,.076958,1.50325e-30 9,.1054018,.1716624,.0594398,.1269534,.1944908,-.0277578,.0517062,.1312458,.076958,1.50325e-30 10,-.061488,-.0466655,-.0786457,-.0633668,-.0486668,-.0775285,-.0637441,-.0499366,-.0427539,-2.85152e-31 11,-.070272,-.053332,-.0898808,-.0724192,-.0556192,-.088604,-.0728504,-.0570704,-.0488616,-3.25888e-31 12,-.061488,-.0466655,-.0786457,-.0633668,-.0486668,-.0775285,-.0637441,-.0499366,-.0427539,-2.85152e-31 13,-.070272,-.053332,-.0898808,-.0724192,-.0556192,-.088604,-.0728504,-.0570704,-.0488616,-3.25888e-31 14,-.0047808,-.0051176,-.0089808,-.0095296,-.010106,.0155472,.0155812,.015618,-.0567688,-5.69548e-31 15,-.0047808,-.0051176,-.0089808,-.0095296,-.010106,.0155472,.0155812,.015618,-.0567688,-5.69548e-31 16,-.0107568,-.0115146,-.0202068,-.0214416,-.0227385,.0349812,.0350577,.0351405,-.1277298,-1.281483e-30 17,-.0047808,-.0051176,-.0089808,-.0095296,-.010106,.0155472,.0155812,.015618,-.0567688,-5.69548e-31 18,-.005976,-.006397,-.011226,-.011912,-.0126325,.019434,.0194765,.0195225,-.070961,-7.11935e-31 19,-.0095616,-.0102352,-.0179616,-.0190592,-.020212,.0310944,.0311624,.031236,-.1135376,-1.139096e-30 20,-.2654436,-.2539032,-.268596,-.2571468,-.2447724,-.3083028,-.297246,-.2862444,-.214518,-2.028324e-30 21,-.2654436,-.2539032,-.268596,-.2571468,-.2447724,-.3083028,-.297246,-.2862444,-.214518,-2.028324e-30 22,-.2654436,-.2539032,-.268596,-.2571468,-.2447724,-.3083028,-.297246,-.2862444,-.214518,-2.028324e-30 23,-.2654436,-.2539032,-.268596,-.2571468,-.2447724,-.3083028,-.297246,-.2862444,-.214518,-2.028324e-30 24,-.070272,-.053332,-.0898808,-.0724192,-.0556192,-.088604,-.0728504,-.0570704,-.0488616,-3.25888e-31 25,-.061488,-.0466655,-.0786457,-.0633668,-.0486668,-.0775285,-.0637441,-.0499366,-.0427539,-2.85152e-31 26,-.061488,-.0466655,-.0786457,-.0633668,-.0486668,-.0775285,-.0637441,-.0499366,-.0427539,-2.85152e-31 27,-.070272,-.053332,-.0898808,-.0724192,-.0556192,-.088604,-.0728504,-.0570704,-.0488616,-3.25888e-31 28,.1054018,.1716624,.0594398,.1269534,.1944908,-.0277578,.0517062,.1312472,.076958,1.50325e-30 29,.1054018,.1716624,.0594398,.1269534,.1944908,-.0277578,.0517062,.1312472,.076958,1.50325e-30 30,.0236286,.0969048,-.064197,.007002,.0787428,.2412108,.2894778,.3373632,-.1209546,-5.64624e-31 31,-.010924,.04144,-.10572,-.0533,-5.5200006e-4,.146874,.171922,.196724,-.112594,-7.3322e-31 32,1.7502667e-2,7.1781333e-2,-4.7553333e-2,5.1866666e-3,.058328,.17867467,.214428,.24989867,-.089596,-4.1824e-31 33,0,0,0,0,0,0,0,0,0,0 28,.1054018,.1716624,.0594398,.1269534,.1944908,-.0277578,.0517062,.1312472,.076958,1.50325e-30 29,.1054018,.1716624,.0594398,.1269534,.1944908,-.0277578,.0517062,.1312472,.076958,1.50325e-30 30,.0236286,.0969048,-.064197,.007002,.0787428,.2412108,.2894778,.3373632,-.1209546,-5.64624e-31 31,-.010924,.04144,-.10572,-.0533,-5.5200006e-4,.146874,.171922,.196724,-.112594,-7.3322e-31 32,1.7502667e-2,7.1781333e-2,-4.7553333e-2,5.1866666e-3,.058328,.17867467,.214428,.24989867,-.089596,-4.1824e-31 33, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 No Plasma 2 MA Plasma Data Set 11 Influence Coefficient Input pfcu 33,16,11,1.0 1, 245, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 2, 242, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 3, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 4, 236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 5, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 6, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 7, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 8, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 9, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 10, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 11, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 12, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 13, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 14, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0,0 15, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0,0 16, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0,0 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0,0 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0,0 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0,0 20, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0,0 21, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0,0 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12,0 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12,0 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0,0 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0,0 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0,0 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0,0 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0,0 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0,0 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0,0 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0,0 33, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,1000

15. PF5u Influence Coefficient load file Minus the TFON load file

19. Full Global Model Influence Coefficients For PF Coefficients per kA and IP Coefficient per MA – Divide values by 1000 Upper Corner TF Shear Coefficients TF Upper-Inner Corner Torsional Shear, June 3 2010 Scenario OH +13/-24 kA

20. Full Global Model Influence Coefficients Single TF Model Influence Coefficients For PF Coefficients per kA and IP Coefficient per MA – Divide values by 1000 Fixed at Umbrella Structure Fixity at Umbrella Structure Suppresses the Contributions of Outboard Coils Upper Corner TF Shear Coefficients

21. Plasma4 Quench Analysis of the Vessel PP and Full Vessel Have not Been Integrated

22. Static Dynamic P4 Quench Stresses are not Significant on the Vessel (Content will be added to NSTXU-CALC-12-01-00

23. seal 0 squa 1 grprel 1,1 r 1,1,.000767 plto Conversion of plate elements to Solids

28. ~.003 in ~.008 in Lower Bent Spoke Assembly The Global Model Currently Assumes Flat Spoke Assemblies Top and Bottom

29. Suggested Added Ring Section

30. .0045 in

31. title Run#%runn%,nstxU,Ther m+TFON,%tffield%T /input,tfon,mod solve Save *do,ls,1,9 /title Run#%runn%,nstxU,Ther m+TFON,data set #990%ls%,%tffield%T /input,990%ls%,mod solve save *enddo *do,ls,1,9 /title Run#%runn%,nstxU,Ther m+TFON,data set #990%ls%,%tffield%T With Plasma /input,ip0%ls%,mod solve save *enddo *do,ls,10,20 /title Run#%runn%,nstxU,Ther m+TFON,data set #99%ls%,%tffield%T /input,99%ls%,mod solve save *enddo *do,ls,10,20 /title Run#%runn%,nstxU,Ther m+TFON,data set #99%ls%,%tffield%T With Plasma /input,ip%ls%,mod solve save *enddo *do,ls,21,30 /title Run#%runn%,nstxU,Ther m+TFON,data set #99%ls%,%tffield%T /input,99%ls%,mod solve save *enddo W/plasma No plasma W/plasma No plasma W/plasma No plasma W/plasma PF5 Bending Stresses are Higher With Plasma Vessel Bending Stresses at the PF5 Supports at the Chosen Point are Lower With Plasma