3. Modeling A#

3.1. Characteristics of modeling#

Modeling AXIS_FOURIER (QUAD8): 3 degrees of freedom per node \((\mathrm{DX},\mathrm{DY},\mathrm{DZ})\)

Boundary conditions:

  • group of elements \(\mathrm{AD}\): \(\mathrm{DX}=\mathrm{0,}\mathrm{DZ}=0\)

  • group of elements \(\mathrm{BC}\): \(\mathrm{DY}=\mathrm{0,}\mathrm{DZ}=0\)

Characteristics of discretization

  • Sides \(\mathrm{AB}\) and \(\mathrm{CD}\): 460 elements

  • Sides \(\mathrm{AD}\) and \(\mathrm{BC}\): 4 elements

3.2. Characteristics of the mesh#

Number of knots: 6449

Number of stitches: 1840 (QUAD8)

3.3. Tested sizes and results#

Identification

Reference

Critical pressure (\(n=0\))

\(8.4935{10}^{5}\mathrm{Pa}\)

Move \(\mathrm{DY}\) to node \(D\)

1

3.4. notes#

  • The reference critical pressure \({P}_{\mathrm{cr}}\), used in the command file, was obtained from the critical load referenced in paragraph [§ 2.2]:

\({P}_{\mathrm{cr}}=\frac{{F}_{\mathrm{cr}}}{2\pi h}=849350.94N/{m}^{2}\)

  • Normalizing the eigenmode for the largest of the translation components implies a reference value equal to 1 for displacement \(\mathrm{DY}\) at node \(D\).