1. Reference problem#

The objective of this test case is to validate the Harlequin Beam-3D connection in Code_Aster.

We compare the results obtained with those from two models in Code_Aster:

  • 1D reference mono-modeling

  • 1D-3D mixed reference modeling with 3D connection_ POU

1.1. Geometry#

We consider a slender thin structure with a length of 0.25 m along the X axis and with a circular cross section. It is supported on its two ends located respectively at positions -0.1 m (support 1) and 0.15 m (support 2). The radius of the section is equal to 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:

  • DX = DY = DZ = 0 at support level 1

  • DX = DY = DZ = 0 at support 2

Also, the movement of rigid bodies rotating along the axis of the beam is blocked (DRX = 0) throughout the structure.