3. Modeling A#

3.1. Characteristics of modeling#

The bi-supported structure of length \(\mathrm{0,25}m\), extending between \(Z=-\mathrm{0,1}m\) and \(Z=\mathrm{0,15}m\), is connected at the levels of the nodes at positions \(\mathrm{0,0}m\) and \(\mathrm{0,05}m\) to a 3D model by the 3D_ POU option of the LIAISON_ELEM keyword from AFFE_CHAR_MECA.

It is modelled by Timoshenko beam elements (POU_D_T) and quadratic solid elements (PENTA15 and HEXA20).

_images/10000200000004B5000001D8F3159758216CC258.png

Image 3.1-1:3D solid model mesh

DYNA_LINE_TRAN calculates the dynamic response of the structure for 3 s, due to a nodal force of a value equal to 100 N on the 3D mesh node located at \(Z=\mathrm{0,02}m\). The switch from the 1D model to the 1D-3D mixed model is done at the moment \(\mathit{Tb}=2s\).

3.2. Characteristics of the mesh#

Number of stitches HEXA20

150

Number of stitches PENTA15

50

Number of stitches POU_D_T

20

Table 3.2-1

3.3. Tested sizes and results#

The tables below give the numerical values tested in this test case. These are the minimum and maximum movements in X of a 3D mesh node located at \(Z=\mathrm{0,04}m\).

Identification

Maximum Time

Reference Type

Reference Value

Tolerance

Minimal X displacement

2.2115 s

“AUTRE_ASTER”

-0.0003266

7.00%

Maximum X displacement

2.7065 s

“AUTRE_ASTER”

+0.0003264

7.00%

Table 3.3-1 : Summary of tested results