Reference solution
=====================




Calculation method
-----------------

The reference solution is that provided by code ROTORINSA, a finite element code (such as a Timoshenko beam) intended to predict the dynamic behavior of rotors under bending.




Reference quantities and results
-----------------------------------

These are harmonic force response calculations with four different rotor rotation speeds: 0, 40000, 50000, and 60000 :math:`\mathit{tr}\mathrm{/}\mathit{min}`.

The harmonic force excitation frequency is :math:`1\mathit{Hz}`, :math:`25\mathit{Hz}`, and :math:`250\mathit{Hz}` successively.

At each speed of rotation of the rotor, two calculations are carried out:


* unit harmonic effort following :math:`X` applied to disk node :math:`\mathit{D2}`


* unit harmonic effort following :math:`Z` applied to disk node :math:`\mathit{D2}`

Each time, the values of the amplitude and phase maximas are recorded at the node of disk :math:`\mathit{D2}`.




Bibliographical references
---------------------------


1. ROTORINSA, finite element software designed to predict the dynamic behavior of rotors under bending, La MCoS UMR5259, INSA -Lyon.