1. Reference problem#

1.1. Geometry#

Geometry is a simplified building with three walls, a floor, a sole and a base. In addition, a portion of the ground is shown.

The building structure elements have a thickness of \(\mathrm{0,1}m\) while the base and the sole have a thickness of \(0.5m\) and \(0.35m\) respectively. The column has a rectangular cross section of \(0.2\mathrm{\times }0.2m\) and the beam has a section of \(0.15\mathrm{\times }0.325m\). The anchor point for the post is named \(S\). This point is not in contact with the floor.

_images/100000000000049400000258C06566DFF2493ABE.png

1.2. Material properties#

The material is isotropic elastic whose properties are:

  • \(E=200000\mathit{MPa}\)

  • \(\nu =0.3\)

  • \(\rho =\mathrm{7800.Kg}/{m}^{3}\)

1.3. Boundary conditions and loads#

The walls of the building are connected to the floor. This one has a rigid body movement. The group of nodes \(\mathit{CDG}\) belongs to the delayder. These nodes have a different acceleration depending on time \(t\) in each direction.

The group of nodes \(S\), end of the column on the raft side. These nodes have a different acceleration depending on time \(t\) in each direction.

Node group

Acceleration following x

Acceleration following y

Acceleration following z

\(\mathit{CDG}\)

\(\mathrm{cos}(60\pi t)\)

\(\mathrm{cos}(90\pi t+\pi /3)\)

\(20\mathrm{cos}(30\pi t+\pi /4)\)

\(S\)

\(\mathrm{cos}(90\pi t+\pi /3)\)

\(20\mathrm{cos}(30\pi t+\pi /4)\)

\(\mathrm{cos}(60\pi t)\)