Reference problem
=====================


Geometry
---------


.. image:: images/1000089E000028D3000013F241F6B0C315906E55.svg
    :width: 526
    :height: 257


.. _RefImage_1000089E000028D3000013F241F6B0C315906E55.svg:

**Row of cylinders with circular cross section connected by springs to a fixed mass:**


.. csv-table::

    "length:", ":math:`L={l}_{x}=2.0m`"
    "width", ":math:`l={l}_{y}=1.0m`"
    "cylinder radius:", ":math:`R=0.25m`"
    "distance between tube centers:", ":math:`d=1.0m`"


**Point coordinates (in** :math:`m` **) :**


.. csv-table::

    "", ":math:`\mathrm{O1}` "," :math:`\mathrm{O2}` "," :math:`A` "," "," "," :math:`B` "," ",", "" :math:`C` :math:`D`
    ":math:`x` ", "0. ", "1.00", "—0.50", "1.50", "1.50", "—0.50", "", ""
    ":math:`y` ", "0. ", "0. ", "0.50", "0.50", "—0.50", "—0.50", "", ""
    "", ":math:`E` "," :math:`F` "," :math:`G` "," "," :math:`H` "," "," :math:`I` "," :math:`J` "," :math:`K` "," :math:`L`"
    ":math:`x` ", "-0.50", "0. ", "0. ", "—0.25", "0. ", "0.25", "0. ", "0.50"
    ":math:`y` ", "0. ", "0.50", "-0.50", "0. ", "0.25", "0. ", "—0.25", "0."



Material properties
------------------------

**Fluid:** Water

:math:`{\rho }_{0}=1000.0{\mathrm{Kg.m}}^{-3}`

**Solid:** Steel

:math:`{\rho }_{S}=7800.0{\mathrm{Kg.m}}^{-3}` :math:`E=2.E11\mathrm{Pa}` :math:`\nu =0.3`

**Springs connecting the cylinder (meshed substructure No. 1) to the massif:**


.. csv-table::

    "Discrete element of type K_T_D_L:", ":math:`{K}_{1}=(1.E71.1.E7)N/m`"
    "", ":math:`{K}_{2}=(1.1.E81.E8)N/m`"



Boundary conditions and loading
------------------------------------

Not applicable for the calculation of added mass.


Initial conditions
--------------------

Not applicable for the calculation of added mass.