1. Reference problem#

The objective of this test case is to validate the 3D gyroscopic modeling of a rotor (options MECA_GYRO and RIGI_ROTA) in Code_Aster.

The results obtained by modeling Code_Aster are compared with those obtained in ANSYS.

1.1. Geometry#

Consider the rotor shown in the diagram below. It is a shaft of length 0.3454 m and of variable cross section, supported on two bearings located respectively at positions 0.1651 m (level 1) and 0.287 m (level 2). The rotor has a disk with an internal radius 0.0203 m and an external radius of 0.0495 m (thickness 0.028 m).

_images/10000200000002510000017B245BEDA12AF2C3F7.png

Image 1.1-1: Rotor geometry

1.2. Material properties#

The cylinder has a density of \(\rho \mathrm{=}7800\mathit{kg}\mathrm{/}{m}^{3}\).

The Young’s modulus is \(E\mathrm{=}207.{10}^{9}N{m}^{\mathrm{-}2}\) and the Poisson’s ratio is \(\nu \mathrm{=}\mathrm{0,3}\).

1.3. Boundary conditions and loads#

The shaft is based on two bearings (Stage 1 and Stage 2) having the following stiffness characteristics:

  • Setup A: Kxx = Kyy = 4.378x107N/m, Kxy = Kyx = 0

  • Configuration B: Kxx = Kyy = 3.503x107N/m, Kxy = Kyx = -8.756 x106

It is stationary or rotating at a speed of 100,000 rpm.