4. B modeling#

4.1. Characteristics of modeling#

4 POU_D_T elements with a full circular cross 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:

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

To treat articulated connections, as many knots as bar ends are created.

_images/10000000000000C5000000918FD073A2F9635834.png
  • at nodes \(\mathrm{A1}\), \(\mathrm{B2}\), and \(\mathrm{D4}\): DDL_IMPO =_F (All=” OUI “, DZ= 0. , DRX = 0. , DRY = 0.)

  • at nodes \(\mathrm{C1}\), \(\mathrm{C2}\), \(\mathrm{C3}\) and \(\mathrm{D3}\), \(\mathrm{D4}\) continuity of translations, by LIAISON_DDLDX and DY.

  • no rotation is imposed.

4.2. Characteristics of the mesh#

Number of knots: 4

Number of meshes and types: 4 SEG2

4.3. Tested sizes and results#

Point

Movement (m)

Reference Type

Reference

Tolerance

\({u}_{c}\)

ANALYTIQUE

2.6517E-04

3.0E-04

\(C\)

\({v}_{c}\)

ANALYTIQUE

0.8839E-04

3.0E-04

\({u}_{D}\)

ANALYTIQUE

3.47902E-03

3.0E-04

\(D\)

\({v}_{D}\)

ANALYTIQUE

—5.60084E-03

3.0E-04