SECTION A - SYSTEMS ENGINEERING A (ENGR. 261)
A1 In order to monitor the condition of a heavy duty electric motor,
vibration analysis can be performed. Fourier analysis of the vibration
of the motor, when new, results in the following spectrum which
comprises four significant components:
Figure A1
Explain the relationship between the spectral components indicated above
and the corresponding graph showing the motion of the surface of the
motor plotted as a function of time. What do they represent?
Given the amplitudes indicated in the above diagram, copy and complete
the table below for the amplitude of the vibration in the time domain.
Sketch the result of your reconstructed waveform in the period 0 < t <
0.1 ms, assuming
f0 = 5000 Hz.
n an T = 0 T = 0.025s T = 0.05s t=0.075s T = 0.1s
1 0.10 0.10
3 0.80
-0.57
5 0.05
0.00
7 0.05
-0.04
Totals -
-1.00
Mathematics Homework Solutions
#2551
Fourier analysis
(a) Explain the relationship between the spectral components indicated above and the corresponding graph showing the motion of the surface of the motor plotted as a function of time. What do they represent?
(b) Given the amplitudes indicated in the above diagram, copy and complete the table below for the amplitude of the vibration in the time domain. Sketch the result of your reconstructed waveform in the period 0 < t < 0.1 ms, assuming
f0 = 5000 Hz.
See attached file for full problem description.
This shows how to explain the relationship between given spectral components and to complete a table for the amplitude of vibration in time.
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