OS-V: 1020 Nelson-Mac Vaugh Rotor Model (3D Rotor)
The Nelson-Mac Vaugh rotor model for rotor dynamics is described to determine the critical speeds at which resonance occurs. The Campbell diagram is used in to review resonance and stability.
Model Files
Before you begin, copy the file(s) used in this problem
to your working directory.
Benchmark Model
The model details are as follows:
- Flexible rotor shaft supported on 2 bearings.
- Connected to support via RBE2 and CELAS1 elements, damping is via CDAMP1.
- ASYNC Complex Eigenvalue Analysis with Gyroscopic effects.
- Rotor speed increments via RSPEED from 0 to 100000 RPM, in steps of 5000 RPM.
Material
The material properties are:
- Property
- Value
- Young's modulus (E)
- 2.08E+11 N/m2
- Poisson's Ratio (NU)
- 0.3
- Mass Density (RHO)
- 7806 kg/m3
Results
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The Campbell diagram is one of the most crucial tools in rotor dynamic analysis
for comprehending the dynamic behaviour of the rotating machines. The rotational
speed (RPM) is plotted along the x-axis, while the frequency (Hz) is plotted along
the y-axis. To plot the Campbell diagram in HyperGraph,
import the Whirl modes, which are printed in the .out file. The
observation of the critical speeds comes from the Campbell diagram. Since the
analysis yields complex conjugate mode pairs, only alternate modes are plotted. The
harmonic critical speeds can be observed at intersections at order = 1.0.
Critical Rotor Speed (RPM) | Modes | |
---|---|---|
Beam Model (Reference)1 | OptiStruct | |
15501.7 | 15210.1 | 1 |
17168.8 | 17034.8 | 3 |
46950.8 | 46503.4 | 5 |
50254.4 | 49979.4 | 7 |
64039.3 | 63010.4 | 11 |
96365.9 | 96346.2 | 13 |
1 Nelson,H.D. and McVaugh, J.M. (1976) The Dynamics of Rotor-Bearing
Systems Using Finite Elements, J. Eng. Ind. (ASME), 593-600