3. Modeling A

3.1. Characteristics of modeling

Modeling DKT

Node names:	Points	\(A=\mathrm{N1}\)		\(B=\mathrm{N78}\)	\(C=\mathrm{N145}\)	\(D=\mathrm{N80}\)
		\(G=\mathrm{N65}\)	\(H=\mathrm{N17}\)		\(I=\mathrm{N73}\)	\(J=\mathrm{N121}\)	\(K=\mathrm{N71}\)

Boundary conditions:

Cas1 in all the nodes on side \(\mathrm{AB}\):

DDL_IMPO = _F (GROUP_NO = AB DX=0., DY=0., DZ=0., DRX =0., =0. , DRY =0. , DRZ =0.)

Case 2 none

3.2. Characteristics of the mesh

Number of knots: 145

Number of meshes and types: 256 TRIA3

3.3. Tested sizes and results

	Frequency	( \(\mathrm{Hz}\) )
Clean Mode	Reference	Aster	% difference	Tolerance

1°: Plate embedded on one side

1	8.7266	8.6718	—0.63
2	21.3042	21.2904	—0.06
3	53.5542	53.0992	—0.85	10—2
4	68.2984	67.9269	—0.54
5	77.7448	77.4294	—0.40
6	136.0471	135.7635	—0.21

	Aster \(\mathrm{epot}=\mathrm{ecin}\)
1	1.4796 104
2	1.7331 104
3	4.3802 104
4	3.7367 104
5	5.4956 104
6	1.3483 105

2°: Free plate

7	33.7119	33.6839	—0.08
8	49.4558	48.9362	—1.05
9	61.0513	60.5849	—0.76	1.1 10—2
10	87.5160	87.0993	—0.48
11	87.5160	87.0993	—0.48

	Aster \(\mathrm{epot}=\mathrm{ecin}\)
7	2.2396 104
8	4.7270 104
9	7.2453 104
10	1.4974 105
11	1.4974 105

We calculate the kinetic energy ECIN_ELEM of element DKT (connected to point \(A\), one of whose sides is on \(\mathrm{AD}\)) of problem 1 (« plate embedded on one side »):

Option	Component	Reference ( NON_REGRESSION )	Aster	% difference
ECIN_ELEM	TOTALE	0.011448	0.0114476	3.5 10—4
ECIN_ELEM	FLEXION	2968.79	2968.7918	6.1 10—5

3.4. notes

CALC_MODES OPTION = 'BANDE'

Case 1: FREQ = (8., 140.) Case 2: FREQ = (32., 90.)

Contents of the results file:

1°:	6 first natural frequencies, eigenvectors and modal parameters deformation energy and kinetic energy of the 6 modes.
2°:	5 natural frequencies, eigenvectors and modal parameters (\(f>0\)) deformation energy and kinetics of the 5 modes.