1. Reference problem#

1.1. Geometry#

_images/10000000000001F20000018ECF16B248AB825092.png

Figure 1.1 Problem geometry

Tank dimensions:

  • height: \(\text{H}=0.3048\text{m}\)

  • mean radius: \(\text{R}=0.076073\text{m}\)

  • shell thickness: \(\text{e}=0.254\times {10}^{-3}\text{m}\)

The free surface is located at ordinate \(Z=\text{H}\). It is perpendicular to the \(Z\) axis.

1.2. Material properties#

The properties of the fluid filling the cavity are as follows:

Sound speed

\({c}_{F}=1400{\text{m.s}}^{-1}\)

Density

\({\rho }_{F}=1000{\text{kg.m}}^{-3}\)

The properties of the shell are as follows:

Young’s module

\(E=2.06\times {10}^{11}\text{Pa}\)

Poisson’s Ratio

\(\nu =0.3\)

Density

\({\rho }_{S}=7850.0{\text{kg.m}}^{-3}\)

1.3. Boundary conditions and loads#

Embedding at the base:

\[\]

: label: EQ-None

textrm {At any point such as} Z=0

Fluid subject to a gravity field:

At any point in the fluid

Gravity \(g=9.81{\text{m/s}}^{2}\) next \(Z\)