4. B modeling#

4.1. Characteristics of modeling#

_images/10000000000000EC000001305F172BCDA29957AA.png

Modeling TUYAU_6M (SEG3)

Breakdown for numerical integration Number of layers: 7 Number of layers: 7 Number of sectors: 7 Number of sectors: 18

Boundary conditions: Point \(A\): degree of freedom of beam: \(\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=\mathrm{DRX}=\mathrm{DRY}=\mathrm{DRZ}=0\) degree of freedom of shell: degree of freedom of shell: \(\mathrm{Ulm}=\mathrm{Vlm}=\mathrm{Wlm}=0(m=\mathrm{2,6})\) \(\mathrm{UOm}=\mathrm{VOm}=\mathrm{WOm}=0(m=\mathrm{2,6})\) \(\mathrm{Wl1}=\mathrm{WO1}=\mathrm{WO}=0\) Point \(D\): degree of shell freedom: \(\mathrm{Ulm}=\mathrm{Vlm}=\mathrm{Wlm}=0(m=\mathrm{2,6})\) \(\mathrm{UOm}=\mathrm{VOm}=\mathrm{WOm}=0(m=\mathrm{2,6})\) \(\mathrm{Wl1}=\mathrm{WO1}=\mathrm{WO}=0\)

4.2. Characteristics of the mesh#

Number of knots: 45

Number of meshes and type: 22 SEG3

4.3. Tested sizes and results#

\(\mathrm{DRZ}\)

Identification

Instants

Instants

Reference

Aster

\(\text{\%}\) difference

0.32

ETA_PILOTAGE

18

18

1.0

1.0296

2.96

0.34

ETA_PILOTAGE

18.5

18.5

1.0

1.0379

3.79

0.36

ETA_PILOTAGE

19

19

1.0

1.0456

4.56

0.38

ETA_PILOTAGE

19.5

19.5

1.0

1.0528

5.28

0.40

ETA_PILOTAGE

20

20

1.0

1.0597

5.97

4.4. notes#

During step A, the internal pressure and the force due to the background effect are progressively imposed on the time interval \(0<t<10\). Then (step B), the bending moment is gradually imposed on the time interval \(10<t<20\). To solve, during step B, an increase in rotation \(\mathit{DRZ}\) by \(0.4\mathit{rad}\) is imposed on the solution obtained during step A.