3. Modeling A#

3.1. Characteristics of modeling#

This cyclic repeatable structure is studied using the CRAIG - BAMPTON cyclic dynamic substructuring method.

A base sector, constituted by an angular sector of \(\text{20°}\), is meshed into triangles to which plate elements DKT are assigned.

The modal base used for the sector is composed of 20 specific modes and constrained modes associated with interfaces.

3.2. Characteristics of the mesh#

Number of knots: 66.

Number of meshes and types: 100 triangles with 3 knots DKT

3.3. Tested sizes and results#

Number of

Number of

Number order

diameters nodes \(i\)

circles nodes \(j\)

Reference

Aster

% difference

1

0

0

0

79.26

79.58

0.4

8

0

1

518.85

518.85

519.54

0.1

2.3

1

0

81.09

81.09

81.18

0.1

9.10

1

1

528.61

528.61

529.50

0.2

4.5

2

0

0

89.63

89.72

0.1

11.12

2

1

559.09

559.48

0.07

6.7

3

0

112.79

113.16

0.3

13.14

3

1

1

609.70

609.75

0.01

3.4. notes#

Modes with more than 1 modal diameter are dual modes.