5. C modeling#
5.1. Characteristics of modeling#
In both cases, the plate is cut into 4 parts of equal dimensions. Each substructure under consideration is meshed into triangles to which plate DKT elements are assigned.
Case 1: Plate embedded on one edge
The structure is studied using the classical substructuring method with CRAIG_BAMPTON interfaces. The modal base used for each substructure is composed of 25 specific modes and constrained modes associated with the interfaces.
Cas2: Free plate
The structure is studied using the cyclic substructuration method with interfaces of type CRAIG_BAMPTONHARMONIQUE and taking into account the specificity of the axis node (point \(G\)). The modal base used for the base sector is composed of 25 natural modes and harmonic modes associated with the interfaces.
5.2. Characteristics of the mesh#
Number of knots: 121
Number of meshes and types: 200 TRIA3
5.3. Tested sizes and results#
Order of |
Frequency |
( \(\mathrm{Hz}\) ) |
||
clean mode i |
Reference |
Aster |
% difference |
Tolerance |
1°: Plate embedded on one side
1 |
8.7266 |
8.6419 |
—0.97 |
|
2 |
21.3042 |
21.2253 |
—0.37 |
|
3 |
53.5542 |
52.9693 |
—1.09 |
1.25 10—2 |
4 |
68.2984 |
67.5444 |
—1.10 |
|
5 |
77.7448 |
77.3966 |
—0.45 |
|
6 |
136.0471 |
134.5785 |
—1.08 |
|
2°: Free plate
7 |
33.7119 |
33.6808 |
—0.09 |
|
8 |
49.4558 |
48.9785 |
—0.96 |
|
9 |
61.0513 |
60.6739 |
—0.62 |
|
10 |
87.5160 |
87.0662 |
—0.51 |
|
11 |
87.5160 |
87.0662 |
—0.51 |