Connections between Plasma and Outer Vessels Ports: Bellows FE Models

Transcription

1 WENDELSTEIN 7- X Andrea Capriccioli Connections between Plasma and Outer Vessels Ports: Bellows FE Models KKS.-Nr.: 1- xxx Max-Planck- Institut für Plasmaphysik Dok.-Kennz.: -x000xx.0 Connections between Plasma and Outer Vessels Ports: Bellows FE Models A. Capriccioli Rev. Datum erstellt geprüft genehmigt Bemerkungen

2 Abstract... 3 I. Description of the Model... 4 II. Results... 8 References Annex Annex A. Capriccioli Page 2 of 13

3 ABSTRACT. The main structural components of the experimental stellarator (W7-X) are the Magnet System, the Cryostat System comprising the Plasma Vessel (PV), the Outer Vessel (OV), the Ports and the Machine Base (MB), see Figure 1. The connections between PV and OV are named Ports. These components are constituted from a two cylindrical elements connected with a third soft element: the bellow. In the present work the models of the several types of bellows used in W7-X will be presented and their characteristics, in term of stiffness, will be analyzed. Figure 1 CAD view of Outer Vessel Ports Magnet system Plasma Vessel Machine base A. Capriccioli Page 3 of 13

4 I. DESCRIPTION OF THE MODEL Three bellows shapes are considered: the rectangular, the oval and circular. For the oval bellows, 5 different shapes (in section dimensions and length) while for the circular ones 10 different shapes (section dimensions, length and presence of the intermediate ring) were modeled. All the ANSYS 3-D FE models use SHELL63 elements and the geometry is derived from the Reference Documents [1] [16] (an example of input file for ANSYS is enclosed in ANNEX 1). In the Figures from 2 to 9 some views of the FE models are reported, only to show the types of bellows (rectangular, oval, circular with and without intermediate ring). For the rectangular port the number of elements and nodes is about (the listing of the model is enclosed in ANNEX 2). Materials: 1 layer bellows material properties: Young s modulus [N/mm2]: 0.2E+06, 0.19E+06 (at RT and at 150 C respectively) Coefficient of thermal expansion [1/K]: 0.16E-04, 0.17E-04 Minor Poisson's ratio: 0.3 Mass density [Kg/mm3]: 0.801E-05 3 layers bellows material properties: the Young s modulus of the material assigned to the convolutions is multiplied by 3. Constraints (see Fig.10) : - All the nodes on one side (base x=0) are grounded (U=0; Rot=0) - Axial (along x axis) stiffness: all the nodes on the other side (x=bellow length=l) can have only axial displacements. - Lateral (along y axis) or Colateral (along z axis) stiffness: all the nodes on the other side (x=l) can have only lateral or colateral displacements. - Torsional (around x axis) stiffness: all the nodes at x=l can have a rotation around x. Displacement along x is allowed. - Rotational (around x and y axes) stiffness: all the nodes at x=l can have a rotation around y or z. Displacements in the plane xz (if rotation around y) or in the plane xy (if rotation around z) are allowed. A. Capriccioli Page 4 of 13

5 Fig.2 Fig.3 Fig.4 Fig.5

6 Fig.6 Fig.7 Fig.8 Fig.9 A. Capriccioli Page 6 of 13

7 Fig.10

8 II. RESULTS The Tables reported below summarize the results per each type of bellow. The abbreviation Type 1 Circ 1 and Type 2 Circ 1 are indicative of the difference between circular ports with or without intermediate ring. PORTS name AEA-V1, AEA-V3, AEE- V1, AEE-V2, AEE-V3 Bellows ID number Bellows Shape Length [mm] Axial X [N/mm] Lateral Y [N/mm] Colateral Z [N/mm] Torsion X [N*mm/rad] Rotational Y[N*mm/rad] Rotational Z [N*mm/rad] 1 Rectangular E E E E E E+06 AEK-V3, AET-V2 AEM-V2 AEN-V1, AEN-V2, AEO- V2, AEN-V4 AEK-V2 AEK-V1, AEN-V3 2 Oval E E E E E E+06 3 Oval E E E E E E+06 4 Oval E E E E E E+06 5 Oval E E E E E E+06 6 Oval E E E E E E+06 AEF, AEA-V2, AEB-V2, AFD, AED, AEG AEB-V1, AEC, AEO-V1, AEY, AFA, AFG, AEW, AFB AEH-V1, AEH-V2, AEM- V3, AET-V1, AEP 7 Type1 Circ E E+01 lateral Y 7.42E E+05 rotational Y 8 Type1 Circ E E+01 = 6.67E E+05 = 9 Type1 Circ E E+01 = 1.17E E+06 =

9 AEI, AEJ-V1, AEJ-V2, AEJ-V3, AFE, AFF, AFC AER, AEV AEL AEQ-V1, AEQ-V2 AEX, AEZ AEM-V1 AEU 10 Type 2 Circ E E+01 lateral Y 8.60E E+05 rotational Y 11 Type 2 Circ E E+01 = 7.45E E+05 = 12 Type 2 Circ E E+01 = 2.16E E+06 = 13 Type 2 Circ E E+00 = 5.52E E+04 = 14 Type 2 Circ E E+01 = 2.86E E+05 = 15 Type 2 Circ E E+01 = 7.45E E+05 = 16 Type 2 Circ E E+02 = 9.13E E+06 = A. Capriccioli Page 9 of 13

10 REFERENCES [1] kompaflex Kompensator mit Stutzen AEA-V1, AEA-V3, AEE-V1, AEE-V2, AEE-V3 Drawing n a [2] kompaflex Kompensator mit Stutzen AEK-V3, AET-V2 Drawing n b [3] kompaflex Kompensator mit Stutzen AEM-V2 Drawing n b [4] kompaflex Kompensator mit Stutzen AEN-V1, AEN-V2, AEO-V2, AEN-V4 Drawing n c [5] kompaflex Kompensator mit Stutzen AEK-V2 Drawing n b [6] kompaflex Kompensator mit Stutzen AEK-V1, AEN-V3 Drawing n c [7] kompaflex Kompensator mit Stutzen AEI, AEJ-V1, AEJ-V2, AEJ-V3, AFE, AFF, AFC Drawing n b [8] kompaflex Kompensator mit Stutzen AER, AEV Drawing n b [9] kompaflex Kompensator mit Stutzen AEL Drawing n b [10] kompaflex Kompensator mit Stutzen AEQ-V1, AEQ-V2 Drawing n b [11] kompaflex Kompensator mit Stutzen AEX, AEZ Drawing n b [12] kompaflex Kompensator mit Stutzen AEM-V1 Drawing n b [13] kompaflex Kompensator mit Stutzen AEF, AEA-V2, AEB-V2, AFD, AED, AEG Drawing n b [14] kompaflex Kompensator mit Stutzen AEB-V1, AEC, AEO-V1, AEY, AFA, AFG, AEW, AFB Drawing n b [15] kompaflex Kompensator mit Stutzen AEH-V1, AEH-V2, AEM-V3, AET-V1, AEP Drawing n c [16] kompaflex Kompensator mit Stutzen AEU Drawing n

11 ANNEX 1!Oval_1_Geom!************************ CONVOLUTIONS NC=5!number of external Convolutions DC=( )/2/(2*NC)!Diameter of the Conv. VF=( )/2!vertical ring height mm HF=( )/2-DC-(Spes*3)!horizontal convolution line HR=225-2*VF!Height of the central ring!************************ SECTION RB=199-(Spes*3)/2!Radius of curvature average LBx=( )/2-2*RB!larger side lenght average LBz=1!smaller side lenght

12 ANNEX 2 Finish /clear, start /UNITS, MPA /prep7!material 1: CONVOLUTIONS 3 LAYERS 3*Young's modulus and density mate=1 MPDATA,EX,mate,1,3*0.20E+6,3*0.19E+6![N/mm2] MPDATA,NUXY,mate,1,0.3,0.3 MPDATA,DENS,mate,1,3*0.801E-08,3*0.801E-08!>>>>[Mg/mm3] MPDATA,ALPX,mate,1,0.16e-04,0.17e-04![1/K]!Material 2!Central Ring mate=2 MPDATA,EX,mate,1,0.20E+6,0.19E+6![N/mm2] MPDATA,NUXY,mate,1,0.3,0.3 MPDATA,DENS,mate,1,0.801E-08,0.801E-08!>>>>[Mg/mm3] MPDATA,ALPX,mate,1,0.16e-04,0.17e-04![1/K] TREF,20 TUNIF,20!KEYOPT 3 =2: Include extra displacement shapes, and use the Allman in-plane rotational stiffness about the element z-axis).!keyopt 11=2: Store data for TOP, BOTTOM, and MID surfaces ET,1,SHELL63 KEYOPT,1,3,2 KEYOPT,1,11,2 ET,2,SHELL63 KEYOPT,1,3,2 KEYOPT,1,11,2 Spes=0.4!Shell Thickness 0.4 mm single layer R,1,Spes!Shell Thickness 0.4 mm single layer R,2,12 RRDl=Spes*10 RRDc=Spes*4 A. Capriccioli Page 12 of 13

13 !************************ CONVOLUTIONS NC=8!number of external Convolutions DC=( )/2/(2*NC)!Diameter of the Conv. VF=( )/2!vertical ring height mm HF=( )/2-DC-(Spes*3)!horizontal convolution line HR=110-2*VF!Height of the central ring!************************ SECTION RB=181-(Spes*3)/2!Radius of curvature LBz=( )/2-2*RB!larger lenght along Z (vertical) LBy=( )/2-2*RB!smaller lenght along Y (Horizontal) A. Capriccioli Page 13 of 13