6. D modeling#

6.1. Characteristics of modeling#

Modeling POU_D_TGM (SEG2)

_images/Object_9.png

6.2. Characteristics of the mesh#

Number of knots: 11

Number of meshes and type: 10 SEG2 evenly distributed in length

6.3. Characteristics of the cross-section mesh (fibers)#

Number of fibers: 50 (5 in the width and 10 in the thickness)

Number of meshes and type: 50 QUA4

6.4. Tested sizes and results#

6.4.1. Tested values#

The calculation strategy used is divided into two steps:

      • Imposed load: The structure was pre-deformed according to its first buckling mode and with a very low amplitude compared to the length of the beam (in the order of \({5.10}^{\mathrm{-}4}m\)). Charging is applied up to \(P\mathrm{/}{P}_{\mathit{cr}}\mathrm{=}0.95\).

      • Imposed displacement: clear of 0.95, the structure begins to undergo a strong lateral displacement for a very small increase in load, so the structure is controlled in arc length to determine the post-buckling behavior.

      • The results are in good agreement with the reference solution starting from ETA_PILOTAGE = 1.152. Before this value, pre-deformation (necessary to obtain buckling) degrades the solution, and the differences with analytical solutions are significant (up to 60%). The corresponding values are subject to non-regression tests. But this difference is only linked to the initial (arbitrary) pre-deformation, since by increasing the vertical loading, we find the right solution.

DZ

Identification

Instants

Reference

—0.22

X

3.8

0.3595

DZ

3.8

—0.22

ETA_PILOTAGE

3.8

1.293

MYY

3.8

519.41

—0.3255

XX

4.56

0.396

DZ

4.56

—0.3255

ETA_PILOTAGE

4.56

1.518

MYY

4.56

674.3

—0.4385

XX

5.358

0.4015

DZ

5.358

—0.4385

ETA_PILOTAGE

5.358

1.884

MYY

5.358

849.74

_images/1000020000000302000002533460005F8FD29060.png _images/10000200000002EE00000252F3F321FC6A081F7B.png