1. Reference problem#

1.1. Geometry#

Two cylinders separated by incompressible fluid:

inner radius \({R}_{1}=1.0m\) outer radius \({R}_{2}=1.1m\)

Fluid:

Water: \({\rho }_{0}=1000.0{\mathrm{Kg.m}}^{-3}\)

Solid:

Steel: \({\rho }_{S}=7800.0{\mathrm{Kg.m}}^{-\mathrm{3 }}\); \(E=2.E11\mathrm{Pa}\); \(\nu =0.3\)

Spring connecting the piston to the solid:

A discrete element is placed on mesh POI1 in the center of the \({\Gamma }_{1}\) stiffness cylinder

and two discrete elements on mesh POI1 on the cylinder \({\Gamma }_{2}\) at the level of the axis \(\mathrm{Ox}\) whose stiffness is equal

Discrete elements of the K_T_D_L type:	\(\mathrm{K1}=(1.E7,1.E7,1.E7)N/m\)
	\(\mathrm{K2}=(5.E6,5.E6,5.E6)N/m\)

Pressure is imposed (i.e. by thermal analogy a zero temperature [R4.07.03]) at any node in the fluid.

A zero displacement of the cylinders is imposed according to \(\mathrm{Oy}\).

Not applicable for added mass calculation and modal analysis.