3. Modeling A

3.1. Characteristics of modeling

Discreet element in type translation DIS_T

Modeling respects geometry.

Characteristics of the elements:

At nodes \(\mathrm{P1}\) to \(\mathrm{P8}\): mass matrices of type M_T_D_N with \(m=10\mathrm{Kg}\).

Spring elements: a K_T_D_L stiffness matrix with \({K}_{x}={10}^{5}N/m\)

Damping elements: a damping matrix of type A_T_D_L with \({c}_{x}=\mathrm{50 }N/m\)

Boundary conditions:

All degrees of freedom are locked except for degree of freedom \(\mathrm{dx}\).

The modal depreciation is calculated by the modal calculation operator, it is reinjected as modal damping into the random dynamic calculation.

3.2. Characteristics of the mesh

Number of knots: 10

Number of meshes and types: 9 SEG2, 10 POI1

3.3. Tested sizes

DSP from the move to the node \(\mathrm{P4}\)

Identification	Reference	Aster	% Difference
ABSOLU: \(F=5.5259\mathrm{Hz}\)	0.1059E—5	0.1059E—5	0%

Spectral moments for discretization at regular steps 0.25 Hz (40 steps)

Identification	Reference	% Tolerance
Spectral moment no. 0	4.677906 10—6	0.1%
Spectral moment No. 1	1.613654 10—5	0.1%
Spectral Moment No. 2	5.580276 10—4	0.1%
Spectral Moment No. 3	1.935152 10—2	0.1%
Spectral moment no. 4	0.673608	0.1%

Spectral moment #6	834.63140	0.1%
Spectral moment no. 8	1.1200226 106	0.1%

Spectral moments for discretization at regular steps 0.025 Hz (400 steps)

Identification	Reference	% Tolerance
Spectral moment no. 0	3.1750082 10—7	0.1%
Spectral Moment No. 1	1.0960802 10—5	0.1%
Spectral Moment No. 2	3.803552 10—4	0.1%
Spectral moment No. 3	1.325284 102	0.1%
Spectral moment No. 4	0.4643197	0.1%

Spectral moment #6	588.14036	0.1%
Spectral moment #8	8.28816138	0.1%