Finding the resonant frequencies of a rotating shaft
A model of a rotating shaft was modelled on Solidworks, of total length of 30cm, a shaft diameter of 2cm, with a bearing diameter of 10cm. Alloy steel was assigned as its material and bearing fixtures were applied to the cylindrical faces of the stepped face. Then a frequency analysis was carried out obtain 5 mode shape diagrams and calculate the resonant frequencies of the rotating shaft. A direct sparse solver was used instead of FFEPlus as centrifugal load of 100 rad/s was applied to the shaft.
The initial setup:
The 5 Modal Frequencies obtained are:
Mode 1
Mode 2
Mode 3
Mode 4
Mode 5
The list of the resonant frequencies are:
| Mode No. | Frequency(Rad/sec) | Frequency(Hertz) | Period(Seconds) |
| 1 | 99.829 | 15.888 | 0.06294 |
| 2 | 1906.3 | 303.39 | 0.003296 |
| 3 | 1906.4 | 303.42 | 0.0032958 |
| 4 | 9173.1 | 1459.9 | 0.00068496 |
| 5 | 9173.4 | 1460 | 0.00068494 |