1. Reference problem#

1.1. Geometry#

A

B

C

D

X

Y

Z

L=10m

l=1m

Thickness: \(\mathrm{1m}\)

1.2. Material properties#

The mechanical properties are as follows:

  • Young’s module \(E\mathrm{=}3.5\mathrm{\times }{10}^{10}\mathit{Pa}\)

  • Poisson’s ratio \(\mathrm{\nu }=\mathrm{0,2}\)

  • Density \(\rho \mathrm{=}2500\mathit{Kg}\mathrm{/}{m}^{3}\)

  • \(\mathrm{\alpha }=\mathit{AMOR}\text{\_}\mathit{ALPHA}=6.69\times {10}^{-5}\)

  • \(\mathrm{\beta }=\mathit{AMOR}\text{\_}\mathit{BETA}=20.06\)

1.3. Boundary conditions and loads#

  • Embedding on sides \(\mathit{AD}\) and \(\mathit{BC}\): \(\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0\);

  • The pressure distributed uniformly on the beam increases linearly to \(0.1\mathit{ms}\) and then remains constant and equal to \(p\mathrm{=}{10}^{5}\mathit{Pa}\) until the end of the calculation (\(1.0\mathit{ms}\)).

1.4. Initial conditions#

The beam is initially at rest in a pristine condition.