3. Modeling A#

3.1. Characteristics of modeling#

X

Y

B0X

B1X

B0Y

B1Y

_images/100000000000045A0000024D55A28A2BE14B6695.png

Figure 3.1-a : Model A mesh

Modeling: DKTG

Boundary conditions:

  • Embedding in \(\mathrm{B0X}\),

  • \(\mathrm{DY}=0.0\) on the whole beam.

Temporal integration:

  • Diagram: NEWMARK, formulation: DEPLACEMENT,

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

3.2. Characteristics of the mesh#

Number of knots: 1536, Number of meshes: elements TRI3: 2860, elements SEG2: 210.

The meshes are duplicated twice to affect the two reinforcement grids.

3.3. Tested sizes and results#

Identification

Reference

Aster

% difference

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

54.67

54.67

54.582

0.160

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

342.64

342.64

338.609

1.176

Position center of gravity \(G\) (\(m\))

0.05

0.05

Inertia \({I}_{\mathrm{yy}}\) ( \(G\) )

8.611

8.6038

0.083

For the transitory analysis, we test at different times (non-regression test):

  • the average of the 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

— 7.7917 10-4

0.022

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

— 9.48 10+3

— 9.4833 10+3

0.035

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

3.72 10+3

3.7139 10+3

—0.161

Total kinetic energy (at order number 100)

9.89588

9.902

0.062