3. Modeling A#

3.1. Characteristics of modeling#

Taking into account the movements, taking into account the joints does not change the results much. For this modeling, the joints in \(A\), \(B\),, \(C\) and \(D\) are rigidified (continuity of the 3 generalized force components).

4 beams with a full circular section: 4 SEG2 meshes

elements \(\mathrm{AC}\) and \(\mathrm{BC}\)

radius \(R=7.978845{10}^{-3}m\)

(area \(A=2.{10}^{-4}{m}^{2}\))

elements \(\mathrm{CD}\) and \(\mathrm{BD}\)

radius \(R=5.641895{10}^{-3}m\)

(area \(A=1.{10}^{-4}{m}^{2}\))

Poisson’s ratio:

\(\nu =0.3\)

Boundary conditions:

in all the nodes:

DDL_IMPO =(

_F (TOUT =” OUI “, DZ= 0., DRX = 0., DRY = 0.),

_F (NOEUD = (A, B), DX= 0., DY= 0.)

)

Node name:

Point \(A\) = \(A\)

Point \(C\) = \(C\)

Point \(B\) = \(B\)

Point \(D\) = \(D\)

3.2. Characteristics of the mesh#

Number of knots: 4

Number of meshes and types: 4 SEG2

3.3. Tested sizes and results#

Identification

Reference Type

Value

Tolerance

DXau point \(C\)

“ANALYTIQUE”

2.65E-04

3.0E-04

3.0E-04

DYau point \(C\)

“ANALYTIQUE”

0.8839E-04

3.0E-04

3.0E-04

DXau point \(D\)

“ANALYTIQUE”

3.47902E-03

3.0E-04

DYau point \(D\)

“ANALYTIQUE”

—5.60084E-03

3.0E-04