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


Geometry
---------


.. image:: images/100010700000298C0000094DBB4344A8B0BC094F.svg
    :width: 536
    :height: 120


.. _RefImage_100010700000298C0000094DBB4344A8B0BC094F.svg:


.. csv-table::

    "Point masses:", ":math:`{m}_{{P}_{1}}\mathrm{=}{m}_{{P}_{2}}\mathrm{=}{m}_{{P}_{3}}\mathrm{=}\dots \dots \mathrm{=}{m}_{{P}_{8}}\mathrm{=}m`"
    "Link stiffness:", ":math:`{k}_{\mathit{AP1}}\mathrm{=}{k}_{\mathit{P1P2}}\mathrm{=}{k}_{\mathit{P2P3}}\mathrm{=}\dots \dots \mathrm{=}{k}_{\mathit{P8B}}\mathrm{=}k`"
    "Viscous damping:", ":math:`{c}_{\mathit{P1P2}}\mathrm{=}{c}_{\mathit{P2P3}}\mathrm{=}\dots \dots \mathrm{=}{c}_{\mathit{P7P8}}\mathrm{=}c`
    :math:`{c}_{\mathit{AP1}}\mathrm{=}\mathit{cc}`
    :math:`{c}_{\mathit{P8B}}\mathrm{=}\mathit{cd}`"



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


.. csv-table::

    "Linear elastic translation spring", ":math:`k\mathrm{=}{10}^{5}N\mathrm{/}m`"
    "Point mass", ":math:`m\mathrm{=}10\mathit{kg}`"
    "Unidirectional viscous dampers", ":math:`c\mathrm{=}50N\mathrm{/}(m\mathrm{/}s)`"
    "", ":math:`\mathit{cc}\mathrm{=}250N\mathrm{/}(m\mathrm{/}s)`"
    "", ":math:`\mathit{cd}\mathrm{=}25N\mathrm{/}(m\mathrm{/}s)`"



Boundary conditions and loads
-------------------------------------

Embedded points :math:`A` and :math:`B`: :math:`u\mathrm{=}0`.


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

Not applicable for modal analysis.