3. Modeling A#
3.1. Characteristics of modeling#
Discreet element in type translation DIS_T
Characteristics of the elements:
At nodes \(\mathrm{P1}\) and \(\mathrm{P2}\): mass matrices of type M_T_D_N with \(m=100\mathrm{kg}\).
Between \(\mathrm{P1}\) and \(\mathrm{P2}\): a K_T_D_L stiffness matrix with \({K}_{x}={10}^{6}N/m\)
Boundary conditions:
All degrees of freedom are locked except degree of freedom \(\mathrm{DX}\) from node \(\mathrm{P2}\).
3.2. Characteristics of the mesh#
Number of knots: 2
Number of meshes and types: 1 SEG2, 2 POI1
3.3. Features tested#
We test the linear transient calculation functionalities on a physical basis and on a modal basis of the operator DYNA_VIBRA.
3.4. Tested sizes and results#
Dynamic response
The position of the mass is tested after a period of time, i.e. 2 seconds. In addition, the value of mode 1 modal participation is tested. Since it is a unique mode and is standardized according to the node that carries the mass, modal participation is identical to displacement.
Identification |
Reference |
Tolerance |
DYNA_VIBRA /physical base (NEWMARK) |
\(1\text{m}\) |
1.E-4% |
DYNA_VIBRA /physical base (DIFF_CENTRE) |
\(1\text{m}\) |
1.E-4% |
DYNA_VIBRA /modal_base (EULER) |
\(1\text{m}\) |
|
DYNA_VIBRA (modal participation) |
\(1\text{m}\) |
|
We also test the value of the speed (in m/s) of the mass at t = 1.5 s |
i.e. when it passes through the static equilibrium position \((x=0)\). |
DYNA_VIBRA /physical base (NEWMARK) |
\(\pi\) |
1.E-4% |
DYNA_VIBRA /modal_base (EULER) |
\(\pi\) |
|