1. Reference problem#

1.1. Geometry#

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The length of the beams is worth: \(L=1m\)

The beams have a circular cross section:

  • radius: \(R=0.1m\)

  • thickness: \(\mathrm{ep}=0.01m\)

The play between the beams is worth: \(\mathrm{Jeu}=1{10}^{-3}m\)

1.2. Material properties#

\(E=1.{10}^{10}\mathrm{Pa}\)

\(\nu =0.3\)

\(\rho =1.{10}^{8}\mathrm{kg}/{m}^{3}\)

The stiffness of the contact spring is: \({K}_{c}={1.10}^{8}N/m\)

1.3. Boundary conditions and loads#

On the whole structure: \(\mathrm{DX}=\mathrm{DZ}=\mathrm{DRX}=\mathrm{DRY}=0\).

At the upper and lower ends of the beams: \(\mathrm{DY}=\mathrm{DRZ}=0\).

In the middle of the left beam: from moment \(t=0s\), \(\mathrm{Fy}=–1.{10}^{6}N\)

1.4. Initial conditions#

Structure initially at rest.