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


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

The reference results are given by ROTORINSA, a finite element code intended to predict the dynamic behavior of rotors under bending. The following parameters were used for the reference results:


* The calculation is based on a number of rotating modes :math:`\mathrm{NVES}=8+4`, in ROTORINSA.


* The rotation speed range is set from :math:`0` to :math:`20000\mathrm{tr}/\mathrm{mn}` with a step :math:`500\mathrm{tr}/\mathrm{mn}`.


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

The results of ROTORINSA give the frequencies of the flexure modes.

The calculation of the rotating modes is done with Code_Aster using the same modeling as ROTORINSA. The Code_Aster results give both the frequencies of the flexure, torsional, and traction/compression modes. The number of modes calculated is 12.


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