4. B modeling#

4.1. Characteristics of modeling and meshing#

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

Number of knots: 4

Number and type of elements: 3 SEG2

1 POI1

4.2. 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 exponential law of increase in speed imposed is as follows:

\(\dot{\phi }\mathrm{=}5100(1\mathrm{-}{\mathrm{exp}}^{\mathrm{-}\mathrm{0.3273t}})\)

4.3. 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

2.0160E-009

3.19

Reference LALANNE

1.8063E-009

3.5

Code_Aster

2.02538E-009

3.1956

Relative error Aster/ CADYRO

0.5%

0.17%

Relative error Aster/ LALANNE

12.1%

8.70%

Table 4.3-1 : Quantities tested for an exponential law of increase in speed

_images/10000200000001DD0000013C77563C9D2CE0A57C.png _images/10000200000002E8000001C49C86BA4887DD2FA3.png