4. B modeling

4.1. Characteristics of modeling

Compared to modeling A, only the density values are modified, which are multiplied by 30:

• Fluid: \(\rho \mathrm{=}30000{\mathit{kg.m}}^{\mathrm{-}3}\) (water),

• Structure: \({\rho }_{s}\mathrm{=}23400\mathit{kg}\mathrm{/}{m}^{3}\) (steel).

This is done in such a way as to reduce the cutoff frequency of the problem.

4.2. Tested sizes and results

The aim is to test the spectral response of the structure to turbulent excitation previously defined in modeling A but calculated for 128 frequency points. For various frequencies, we test the value of the spectral response at node 2 of the board which is located \(13.75m\) from the center of the board.

The theoretical answer was evaluated with Python.

Identification	frequency ( \(\mathrm{Hz}\) )	Reference type	Reference	% tolerance
\(\mathit{SF1F1}(\omega )\omega \mathrm{=}0.01\)	1.59155e-03	“ANALYTIQUE”	7.288480E8	0.2
\(\mathit{SF}1F1(\mathrm{\omega })\mathrm{\omega }=1\)	1.59155e-01	“ANALYTIQUE”	7.532370E6	0.8

Identification	frequency ( \(\mathit{Hz}\) )	Reference type	Reference	% tolerance
\({S}_{U}(\mathrm{\omega })f=0.08275\)	8.27500e-02	“NON_REGRESSION”
\({S}_{U}(\mathrm{\omega })f=0.05\)	5.00000e-02	“NON_REGRESSION”
\({S}_{U}(\mathrm{\omega })f=0.025\)	2.50000e-02	“NON_REGRESSION”