1. Reference problem#
1.1. Geometry#
Steel piston connected to the solid by a spring and coupled to a column of incompressible fluid:
length: |
\(L=1.0m\) |
width: |
\(d=0.25m\) |
piston width \(\mathit{AB}\): |
\(0.05m\) |
X-points (in \(m\) ) :
\(A\) |
|
|
|
\(x\) |
—0.05 |
1.2. Material properties#
Fluid:
Water : \({\rho }_{0}=1000.0{\mathrm{Kg.m}}^{-3}\)
Solid:
Steel: \({\rho }_{S}=7800.0{\mathrm{Kg.m}}^{-3}\); \(E=2.E11\mathrm{Pa}\); \(\nu =0.3\)
Spring connecting the piston to the solid:
Discrete element of the K_T_D_L type: \(K\mathrm{=}(1.E5,1.E5,1.E5)N\mathrm{/}m\)
1.3. Boundary conditions and loading#
Pressure is imposed (i.e. by thermal analogy a zero temperature [R4.07.03]) at all the nodes at the end of the fluid column.
The spring is forced to be embedded on the solid and a zero displacement of the piston is imposed according to \(\mathrm{Oy}\).