1. Reference problem#

The objective of this test case is to validate the non-intrusive switch from a beam model to a mixed Beam-3D model in Code_Aster.

The results obtained are compared with those obtained from a complete 3D modeling in*Code_Aster*.

1.1. Geometry#

We consider a slender thin structure with a length \(\mathrm{0,25}m\) along the Z axis and with a circular cross section. It is supported on its two ends located respectively in positions \(-\mathrm{0,1}m\) (support 1) and \(\mathrm{0,15}m\) (support 2). The radius of the section is equal to \(\mathrm{0,005}m\).

_images/100002000000043800000160B5065B2DDF76972C.png

Image 1.1-1: Rotor geometry

1.2. Material properties#

The double-supported beam has a density of \(\rho \mathrm{=}7800\mathit{kg}\mathrm{/}{m}^{3}\).

The Young’s modulus is \(E\mathrm{=}2.{10}^{11}N{m}^{\mathrm{-}2}\) and the Poisson’s ratio is \(\nu \mathrm{=}\mathrm{0,3}\).

1.3. Boundary conditions and loads#

The beam rests on two infinitely rigid supports:

  • \(\mathit{DX}=\mathit{DY}=\mathit{DZ}=0\) at support level 1

  • \(\mathit{DX}=\mathit{DY}=\mathit{DZ}=0\) at support level 2

Also, the movement of rigid bodies rotating along the axis of the beam is blocked (\(\mathit{DRZ}=0\)) throughout the structure.