1. Reference problem#

1.1. Geometry#

_images/100000000000037300000205C6ECE7300517690C.png

1.2. Material properties#

\(E\mathrm{=}25\mathit{Pa}\)

\(\nu \mathrm{=}0.25\)

\(\rho \mathrm{=}1\mathit{kg}\mathrm{/}{m}^{3}\)

1.3. Boundary conditions and loads#

Simple support plate

\(\mathit{AB}\)

\(\mathit{DX}\mathrm{=}0.\)

\(\mathit{DZ}\mathrm{=}0.\)

\(\mathit{DRY}\mathrm{=}0.\)

\(\mathit{MY}\mathrm{=}0.\)

\(\mathit{BC}\)

\(\mathit{DY}\mathrm{=}0.\)

\(\mathit{DZ}\mathrm{=}0.\)

\(\mathit{DRX}\mathrm{=}0.\)

\(\mathit{MX}\mathrm{=}0.\)

\(\mathit{CD}\)

\(\mathit{DX}\mathrm{=}0.\)

\(\mathit{DZ}\mathrm{=}0.\)

\(\mathit{DRY}\mathrm{=}0.\)

\(\mathit{MY}\mathrm{=}0.\)

\(\mathit{DA}\)

\(\mathit{DY}\mathrm{=}0.\)

\(\mathit{DZ}\mathrm{=}0.\)

\(\mathit{DRX}\mathrm{=}0.\)

\(\mathit{MX}\mathrm{=}0.\)

Point \(O\)

\(\mathit{DX}\mathrm{=}0.\)

\(\mathit{DY}\mathrm{=}0.\)

\(\mathit{DRX}\mathrm{=}0.\)

\(\mathit{DRY}\mathrm{=}0.\)

\(\mathit{DRZ}\mathrm{=}0.\)

Loading:

FORCE_COQUE

Sinusoidal Pressure

\(P\)

With \(P\mathrm{=}{f}_{0}\mathrm{sin}\pi \frac{x}{a}\mathrm{sin}\pi \frac{y}{a}\), where \({f}_{0}\mathrm{=}1\) and \(a\mathrm{=}1\)

1.4. Initial conditions#

Not applicable for static analysis.