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 beam with a length of 0.35 m along the X axis, embedded at its left end and loaded with a concentrated force F at its right end. The cross section of the beam is a rectangle with a width b and a height h (in this case: b = h = 0.02 m).

_images/10000200000002A00000006C876BE78652190138.png

Image 1.1-1 : Rotor geometry

1.2. Material properties#

The cantilever 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 left end of the beam (X = 0.15 m) is fixed, and the right end (X = 0.5 m) is subjected to a concentrated load directed vertically downward at a value of 500 N.