1. Reference problem#

1.1. Geometry#

_images/100000000000038A000002ADE16397DE6AC269A3.jpg

1.2. Material properties#

Beam:

Young’s modulus:

\(E={2.10}^{11}\mathrm{Pa}\)

Poisson’s ratio:

\(\nu \mathrm{=}0.3\)

density:

\(\rho \mathrm{=}8000\mathit{kg}\mathrm{/}{m}^{3}\)

C**ontact:**

penalty coefficients:

\({E}_{n}={10}^{14}\mathrm{Pa}\)

\({E}_{t}=0\)

Coulomb coefficient:

\(\mu =0\)

1.3. Boundary conditions and loads#

The problem is unidirectional according to \(z\).

We consider a quarter of the beam with the symmetry conditions: we block the movements

according to \(x\) on map \(x=0\) and travel according to \(y\) on map \(y=0\).

1.4. Initial conditions#

At all the nodes of the beam mesh are imposed according to the \(z\) axis:

  • the initial move: \({u}_{0}=2\mathrm{mm}\)

  • initial speed: \({v}_{0}=-100m/s\)