Frequency Analysis of a rotating shaft
Aim:
To design a rotating shaft and find its critical frequencies using Solidworks frequency simulation.
Theory:
In physics, resonance describes the phenomenon of increased amplitude that occurs when the frequency of a periodically applied force (or a Fourier component of it) is equal or close to a natural frequency of the system on which it acts. When an oscillating force is applied at a resonant frequency of a dynamical system, the system will oscillate at a higher amplitude than when the same force is applied at other, non-resonant frequencies
Model:
Simulation Setup:
Material: Alloy Steel
Fixtures: Bearing fixtures at stepped ends
Force: Centrifugal force (60 rad/s) (assumed)
No of modes: 5
Simulation:
1) Mode 1:
2) Mode 2:
3) Mode 3:
4)Mode 4:
5) Mode 5:
Result:
Resonant frequency for the first five modes are:
| Mode No. | Frequency(Rad/sec) | Frequency(Hertz) | Period(Seconds) |
| 1 | 59.915 | 9.5357 | 0.10487 |
| 2 | 2200.1 | 350.16 | 0.0028559 |
| 3 | 2200.4 | 350.2 | 0.0028555 |
| 4 | 9856 | 1568.6 | 0.0006375 |
| 5 | 9856.7 | 1568.7 | 0.00063745 |
Conclusion:
Resonant frequency for the part was found. For safety reasons the appliance should not be used at above frequency