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

The reference solution is the result of a 1D calculation performed with Code_Aster (cf. modeling B). The latter is itself validated compared to solution RDM for a cantilever beam. The analytical solution is equal to:

:math:`w\mathrm{=}\frac{F\text{.}{L}^{3}}{3\text{.}E\text{.}J}`

where F is the concentrated force applied, L is the length of the beam, E is the Young's modulus of the material, :math:`J\mathrm{=}\frac{b\text{.}{h}^{3}}{12}` is the moment of inertia of the cross section of the beam.


1. A. Ghanem, "Contribution to the advanced modeling of rotating machines in transient dynamics in the Arlequin framework", thesis of INSA in Lyon.