2. Benchmark solution#

2.1. Calculation method used for the reference solution#

The reference solution is the one presented in the book by Michel LALANNE and Guy FERRARIS.

The numerical results were obtained using a finite element code, in Timoshenko beam elements. The modeling is carried out with 14 nodes (13 beam elements).

2.2. Benchmark results#

With an unbalanced loading, values of the 7 amplitude maximas for point \(C\) (disk 2), for a rotation speed varying from \(0\) to \(30000\mathrm{tr}/\mathrm{min}\).

2.3. Uncertainty about the solution#

Less than 1%.

2.4. Bibliographical references#

  1. Michel LALANNE and Guy FERRARIS, Rotordynamics, Prediction in Engineering, JOHN WILEY AND SONS (1990).