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


Reference quantity and result
---------------------------------

A reference of type NON_REGRESSION is used to check the prestressed natural modes. We calculate the 5 smallest natural modes. The results are compared by the "direct" calculation and by the calculation on a sector with cyclical boundary conditions.


Reference quantity
---------------------


* FREQ: frequency


Reference quantity and result
----------------------------------

The reference results presented below correspond to the results obtained with 3D modeling:


* Of the whole wheel.


+---------------------+-----------+-------------------------------+
|Grandeur             |Fashion no.|Reference :math:`(\mathrm{Hz})`|
+---------------------+-----------+-------------------------------+
|:math:`\mathrm{FREQ}`|:math:`1`  |:math:`31.4503`                |
+                     +-----------+-------------------------------+
|                     |:math:`2`  |:math:`31.975`                 |
+                     +-----------+-------------------------------+
|                     |:math:`3`  |:math:`31.975`                 |
+                     +-----------+-------------------------------+
|                     |:math:`4`  |:math:`33.4833`                |
+                     +-----------+-------------------------------+
|                     |:math:`5`  |:math:`33.4833`                |
+---------------------+-----------+-------------------------------+


* Of a fin to which cyclic symmetry conditions are applied.


+---------------------+-----------+-------------------------------+
|Grandeur             |Fashion no.|Reference :math:`(\mathrm{Hz})`|
+---------------------+-----------+-------------------------------+
|:math:`\mathrm{FREQ}`|:math:`1`  |:math:`33.4833`                |
+                     +-----------+-------------------------------+
|                     |:math:`2`  |:math:`33.4833`                |
+                     +-----------+-------------------------------+
|                     |:math:`3`  |:math:`44.8997`                |
+                     +-----------+-------------------------------+
|                     |:math:`4`  |:math:`44.8997`                |
+                     +-----------+-------------------------------+
|                     |:math:`5`  |:math:`80.2363`                |
+---------------------+-----------+-------------------------------+