1. Reference problem#

1.1. Geometry#

_images/10000A9200002A6000001CF0242CA1C47F8C41E8.svg

1.2. Material properties#

\(E=\mathrm{98 696}.044\mathrm{MPa}\)

\(\nu =0.\)

\(\rho =3.{10}^{6}\mathrm{kg}/{m}^{3}\)

Without damping: \(C=0.\) or with Rayleigh proportional damping: \(C=\lambda K+\mu M\), \(\lambda ={5.10}^{-4}\), \(\mu =-5\).

1.3. Boundary conditions and loads#

Force applied to node \(\mathrm{N02}\) in \(B\): \(\mathrm{Fx}=1.{10}^{6}N\)

Function \(\alpha (t)\) load evolution: \(\alpha (t)=1.\), \(t\ge 0.\)

1.4. Initial conditions#

Zero initial displacement.

Zero initial speed.