3. Modeling A#
3.1. Characteristics of modeling#
Discrete elements of stiffness, damping and mass.
Characteristics of the elements:
DISCRET: |
nodal mass |
M_T_D_N |
linear stiffness |
K_T_D_L |
|
linear amortization |
A_T_D_L (\(c={c}_{\mathrm{critique}}\)) |
Boundary conditions: at node \(\mathit{N1}\) DDL_IMPO DX = DY = DZ = 0.
Node names: \({P}_{1}=\mathrm{N1}\), \({P}_{2}=\mathrm{N2}\).
Calculation methods:
Integration on a modal basis with Newmark (\(\alpha \mathrm{=}\mathrm{0,25}\), \(\delta \mathrm{=}\mathrm{0,5}\))
No time \(\Delta t\mathrm{=}{10}^{\mathrm{-}3}s\)
Integration on a modal basis with Euler
No time \(\Delta t\mathrm{=}{10}^{\mathrm{-}3}s\)
Observation time: \(\mathrm{0,5}s\).
3.2. Characteristics of the mesh#
Number of knots: 2
Number of meshes and type: 1 mesh SEG2
3.3. Tested sizes and results#
Moving point B
Move |
Move |
Move |
||||
Time |
Reference |
NEWMARK |
Tolerance |
EULER |
Tolerance |
|
(\(s\)) |
(\(m\)) |
Aster (\(m\)) |
(%) |
Aster (\(m\)) |
(%) |
|
0.06 |
1.189014 E—4 |
1.18886 E—4 |
1.18886 E—4 |
1.18886 E—4 |
0.5% |
|
0.12 |
—9.42819 E—5 |
—9.42574 E—5 |
0.5% |
—9.47822 E—5 |
0.6% |
|
0.19 |
9.97958 E—5 |
9.97765 E—5 |
0.5% |
9.96206 E—5 |
0.5% |
|
0.25 |
—9.97748 E—5 |
—9.97526 E—5 |
0.5% |
—9.99152 E—5 |
0.5% |
|
0.31 |
9.78457 E—5 |
9.78210 E—5 |
9.78210 E—5 |
0.5% |
9.83436 E—5 |
0.6% |
0.38 |
—9.88705 E—5 |
—9.88530 E—5 |
0.5% |
—9.84730 E—5 |
0.5% |
|
0.44 |
9.99961 E—5 |
9.99754 E—5 |
0.5% |
9.99525 E—5 |
0.5% |
Point B speed
3.4. notes#
The results are tested at the peak level for the selected observation grain (10-2 s) where the values are the most significant.
The regime becomes almost permanent after the first period; this is what must be observed when conducting a transitory analysis.