1. Reference problem#
1.1. Geometry#
A rotor model supported by 2 bearings (nodes \(\mathrm{B1}\) and \(\mathrm{B2}\) in the figure below), whose stiffness and damping matrices are non-symmetric. It is composed of 3 disks, and 3 shaft sections.
Figure 1.1-a -a: Rotor model with 2 discs and 2 asymmetric bearings
1.2. Material properties#
The geometric and material characteristics are listed in the following table.
Material |
\(E={2.10}^{11}N/{m}^{2}\) |
\(\rho =7800\mathrm{kg}/{m}^{3}\) |
\(\nu =0.3\) |
|
Disc |
\(\mathrm{D1}\) |
\(M=3.5\mathrm{kg}\) |
\({I}_{D}=3.5{10}^{-3}\mathrm{kg}{m}^{2}\) |
\({I}_{P}={7.10}^{-3}\mathrm{kg}{m}^{2}\) |
\(\mathrm{D2}\) |
\(M=3.0\mathrm{kg}\) |
\({I}_{D}=3.0{10}^{-3}\mathrm{kg}{m}^{2}\) |
\({I}_{P}={6.10}^{-3}\mathrm{kg}{m}^{2}\) |
1.3. Boundary conditions#
To block rigid body movements in direction \(Z\), we block the degree of freedom \(\mathit{DZ}\) at the level node \(\mathrm{B1}\).