1. Reference problem#

1.1. Geometry of the numerical model#

_images/1000000000000582000002F56A4071F725AC5130.png

Figure 1.1: Model mesh.

1.2. Mesh and knot groups#

  • groups of knots and meshes \(\mathit{MC}\): the whole beam,

  • groups of knots and stitches \(\mathit{BAS}\): bottom half (in blue),

  • groups of knots and stitches \(\mathit{HAUT}\): top half (in red),

  • node group \(\mathit{EXTREMIT}\): base of the beam.

1.3. Material properties#

      • For all items

  • \(E\mathrm{=}2.2\mathrm{\times }{10}^{11}\mathit{Pa}\) Young’s module

  • \(\nu \mathrm{=}0.3\) Poisson’s ratio

  • \(\rho \mathrm{=}8333.0{\mathit{kg.m}}^{\mathrm{-}3}\) Density

1.4. Boundary conditions and loads#

  • Imposed travel:

        • group \(\mathit{EXTREMIT}\): \(\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}0.0\)

        • group \(\mathit{MC}\): \(\mathit{DZ}\mathrm{=}0.0\)

1.5. Geometric characteristics of structural elements#

  • Group \(\mathit{MC}\): tube-type section (“CERCLE”):

    • radius: \(R\mathrm{=}7.94\mathit{mm}\),

    • thickness: \(e\mathrm{=}3.176\mathit{mm}\)