3. Modeling A#

3.1. Characteristics of modeling#

Modeling: Beam elements POU_D_E

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Cutting:

beam \(\mathrm{AB}\): 30 SEG2 meshes of variable cross section 15 stitches in “General section” 15 meshes in “Rectangular Section”

Boundary conditions:

in all the knots at the \(A\) end

DDL_IMPO: (TOUT :” OUI “DZ: 0., DRX: 0., DRY: 0.)

(Node: A DX: 0., DY: 0., DRZ: 0.)

Node names:

Point \(A=\mathrm{N100}\)

Point \(B=\mathrm{N200}\)

3.2. Characteristics of the mesh#

Mesh:

Number of nodes: 31

Number of meshes and types: 30 SEG2

3.3. Tested sizes and results#

Identification

Reference

Frequency in \(\mathit{HZ}\)

Case 1 \({h}_{0}\mathrm{/}{h}_{1}\mathrm{=}4\) \({b}_{0}\mathrm{/}{b}_{1}\mathrm{=}4\) homothetic

flexure 1

54.18

flexure 2

171.94

flexure 3

384.40

flexure 4

697.24

flexure 5

1112.28

Case 2 \({h}_{0}\mathrm{/}{h}_{1}\mathrm{=}4\) \({b}_{0}\mathrm{/}{b}_{1}\mathrm{=}5\) not homothetic

flexure 1

56.55

flexure 2

175.19

flexure 3

389.01

flexure 4

702.36

flexure 5

1117.63