4. B modeling#

4.1. Characteristics of modeling#

X

Y

B0X

B1X

B0Y

B1Y

_images/100000000000045A0000024D08BDE698A920887A.png

Figure 4.1-a : B modeling mesh**

The characteristics of B modeling are identical to those of A modeling, only the nature of the elements changes (QUAD4 instead of TRIA3).

Temporal integration:

  • Diagram: NEWMARK, formulation: DEPLACEMENT,

  • No time: \(1.{10}^{-3}s\) with possible subdivision up to \(1.{10}^{-5}s\).

4.2. Characteristics of the mesh#

Number of knots: 606, Number of meshes: elements QUA4: 500, elements SEG2: 210. The meshes are duplicated twice to affect the two reinforcement grids.

4.3. Tested sizes and results#

Identification

Reference

Aster

% difference

Frequency (\(\mathrm{Hz}\)) First mode

54.67

54.579

0.166

Frequency (\(\mathrm{Hz}\)) Third mode

342.64

342.64

338.511

1.205

For the transitory analysis, we test at various times (values compared to modeling B):

The average vertical movements of the points of \(\mathrm{B1X}\)

The resultant of the nodal forces applying to \(\mathrm{B1X}\)

The vertical nodal reaction on \(A\)

The total kinetic energy is also tested (by comparison with the results provided by a Python loop).

Identification

Reference

Aster

% difference

Average vertical movements on \(\mathrm{B1X}\) (at order number 100)

— 7.79 10-4

— 7.8112 10-4

0.272

Vertical resultant of the forces applied to \(\mathrm{B1X}\) (at order number 90)

— 9.48 10+3

— 9.4813 10+3

0.014

Vertical nodal reaction on \(A\) (at order number 100)

3.72 10+3

3.7413 10+3

0.574

Total kinetic energy (at order number 100)

9.89588

9.9020

0.06