FE Analysis of Collaring Mockup Michal Holko at

Content • Material Definition • Load Cases and Boundary Conditions • Geometry Modifications of

Material Definition E POISSON 304 L 193 GPa 0. 28 ALUMINIUM 71 GPa 0.

Load Steps & Boundary Conditions Load steps: 1, Pretension 2000 N 2, Force 1

Geometry modifications 0 mm -0. 015 mm The idea of this analysis is to

Results: Force – Displacement behavior 343, 75000 Closing the initial gaps 343 -150=193 um

Results: Stiffness calculation FEM 1195 N/um 962 N/um Measurement 12/28/2021 M. Holko - FE

Results: Normal Strains in Dummy Coils in the Mid Plane Area Measurement FEM Area

Results: Normal Strain – Force (in Coil 5 midplane area) Measurement FEM 12/28/2021 M.

Results: Normal Strain in Pole 718 12/28/2021 M. Holko - FE Analysis of Collaring

Results: Normal Strain in Pole 740 12/28/2021 M. Holko - FE Analysis of Collaring

Conclusion • Copying the exact geometry of the dummy coils much better matching experimental

Next Step • Investigation of the model loaded with 400 k. N • Sensitivity

Thank you for your attention 12/28/2021 M. Holko - FE Analysis of Collaring Mockup

Normal stress in mid plane area Average -11. 8 MPa Average -8. 3 MPa

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FE Analysis of Collaring Mockup Michal Holko at al. CERN EN MME Mockup Meeting 8. 1. 2021

Content • Material Definition • Load Cases and Boundary Conditions • Geometry Modifications of the Model • Results • Conclusion • Next Step 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 2

Material Definition E POISSON 304 L 193 GPa 0. 28 ALUMINIUM 71 GPa 0. 33 TITANIUM 130 GPa 0. 3 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 3

Load Steps & Boundary Conditions Load steps: 1, Pretension 2000 N 2, Force 1 – 156. 8 N/mm→ 20. 4 k. N for 130 mm (2. 5 MPa) 3, Force 2 – 631. 4 N/mm→ 82 k. N for 130 mm (10 MPa) Pretension All contacts are frictional (coefficient 0. 2) Force 12/28/2021 Fixed supports 12/28/2021 Displacement in axial and horizontal direction = 0 M. Holko - FE Analysis of Collaring Mockup 4

Geometry modifications 0 mm -0. 015 mm The idea of this analysis is to simulate the real geometry of the dummy coils -0. 015 mm 5 7 7 -0. 015 mm 5 0 mm -0. 015 mm 2 -0. 015 mm 1 +0. 015 mm -0. 015 mm 2 -0. 015 mm 1 -0. 015 mm +0. 015 mm 0 mm -0. 015 mm 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 5

Results: Force – Displacement behavior 343, 75000 Closing the initial gaps 343 -150=193 um Measurement FEM 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 6

Results: Stiffness calculation FEM 1195 N/um 962 N/um Measurement 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 7

Results: Normal Strains in Dummy Coils in the Mid Plane Area Measurement FEM Area of interest 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 8

Results: Normal Strain – Force (in Coil 5 midplane area) Measurement FEM 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 9

Results: Normal Strain in Pole 718 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 10

Results: Normal Strain in Pole 740 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 11

Conclusion • Copying the exact geometry of the dummy coils much better matching experimental measurements • Model did not consider other imperfection • Stiffness of the FEM model is still higher than the real one • Additional Point : Area of the Pole should be further investigated 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 12

Next Step • Investigation of the model loaded with 400 k. N • Sensitivity study with the real coil. 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 13

Thank you for your attention 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 14

Normal stress in mid plane area Average -11. 8 MPa Average -8. 3 MPa 12/28/2021 M. Holko - FE Analysis of Collaring Mockup 15