3. Modeling A#

3.1. Characteristics of modeling and meshing#

The rotor is meshed in 3 uniformly distributed POU_D_T type finite shaft elements and includes 1 discrete element of type DIS_TRpour: the modeling of the bearing.

Number of knots: 4

Number and type of elements: 3 SEG2

1 POI1

3.2. Loading#

The unbalance is installed on the disk node. It is characterized by a mass of \({10}^{-4}\mathit{kg}\), a distance

to the neutral fiber of the \(0.15m\) tree and an initial phase shift of zero. Its value is \({15.10}^{\mathrm{-}6}\mathit{m.kg}\).

The linear law of speed increase imposed is as follows: \(\dot{\phi }\mathrm{=}\mathrm{416,7}t\)

3.3. Results#

We test the moment for which the vibratory eccentricity reaches its maximum as well as the corresponding maximum amplitude.

Result

\({A}_{\mathit{max}}^{2}\) (\(m\))

\({t}_{\mathit{max}}\) (\(s\))

Reference CADYRO

2.5810E-009

7.89

Reference LALANNE

2.1996E-009

8.44

Code_Aster

2.65697E-009

7.872350

Relative error Aster/ CADYRO

3.0%

0.22%

Relative error Aster/ LALANNE

20.79%

6.72%

Table 3.3-1 : Quantities tested for a linear law of increase in speed

_images/10000200000001DD0000013BBFC79058987D6DDC.png _images/10000200000002E3000001B19317E5AF22DF5BAB.png