3. Modeling A

3.1. Characteristics of modeling

AXIS_FOURIER, T6 mesh

Breakdown:	80 elements depending on the length
	2 elements in the thickness

z

D

C

A

B

r

3.2. Characteristics of the mesh

Number of knots: 805

Number of meshes and types: 320 TRIA6

3.3. Tested values

Values provided for \(\theta =0\).

Location	Value type	Reference	Aster	% difference
Calculation 1 (2 modes)
Point \(C\)	\({u}_{r}(m)\)	\(–1.552\times {10}^{-3}\)		\(–1.54839\times {10}^{-3}\)	—0.232
Point \(B\)	\({\sigma }_{\mathrm{zz}}(\mathrm{Pa})\)	\(169.8\times {10}^{6}\)		\(168.73\times {10}^{6}\)	—0.63
Calculation 2 (10 modes)
Point \(C\)	\({u}_{r}(m)\)	\(–1.552\times {10}^{-3}\)		\(–1.54839\times {10}^{-3}\)	—0.232
Point \(B\)	\({\sigma }_{\mathrm{zz}}(\mathrm{Pa})\)	\(169.8\times {10}^{6}\)		\(168.59\times {10}^{6}\)	—0.71

3.4. note

The values of the beam deflection and the embedment stress are obtained accurately with only the first two modes.