Benchmark solution
=====================


Calculation method used for the reference solution
--------------------------------------------------------

The reference solution is given by a direct transitory calculation by modal superposition (modeling A).


Benchmark results
----------------------

Value of the movements and speed of the nodes of the 3 beams in the direction :math:`Y` and at the time :math:`t=1s`.


.. csv-table::

    "", "Displacement
    (:math:`m`)", "Speed
    (:math:`{\mathrm{m.s}}^{-1}`)"
    "Euler integration diagram", "", "
    "Left beam", "1.64 10—2", "2.54 10—2"
    "Middle beam", "1.12 10—2", "4.49 10—2"
    "Right beam", "5.90 10—3", "1.05 10—1"
    "Devogelaere integration diagram", "", ""
    "Left beam", "1.64 10—2", "2.54 10—2"
    "Middle beam", "1.12 10—2", "4.41 10—2"
    "Right beam", "5.89 10—3", "1.05 10—1"
    "Integration diagram with adaptive time steps of order 2", "", ""
    "Left beam", "1.64 10—2", "2.55 10—2"
    "Middle beam", "1.12 10—2", "4.41 10—2"
    "Right beam", "5.91 10—3", "1.05 10—1"



Uncertainty about the solution
---------------------------

Digital solution.