NORTHERN ILLINOIS UNIVERSITY
Department of Mechanical EngineeringLab:
Introduction to Oscilloscope and Vibration Measurement of a Cantilever BeamObjective
: To learn how to set and use an oscilloscope.| Apparatus: Oscilloscope, Function Generator, Beam with Strain Gage Apparatus. Links: Oscilloscope Glossary |
Specifications of the apparatus
used in this experiment Oscilloscope: Tektronix 2201, 2 Channel Digital Storage OscilloscopeFunction Generator: Range : 1 Hz to 2 Mega Hz Amplitude variable Three types of signal output Square, Triangular and Sine wave Range blocks : 1, 10, 100, 1K, 10K, 100K, 1M Hertz Frequencies in between can be set by turning a knob |


Procedure :
Standard Initial setup
Prevent Overloads
Prepare to display a trace
Display a signal
Settings for the Function Generator are as follows.
Display a signal (continue):
If signal is repetitive and stable, setup is complete. However, if it is irregular or occasional, you will want to STORE a SINGLE SWEEP in memory. Because we are using a Function Generator, the signal is repetitive and will be stable. For example, if we are going to read the response of a starting motor or dynamic response of a thermocouple, we will be going for STORE or SINGLE SWEEP option, because the signal is going to start from a stable point, reach a maximum value and is going to be stable again. If we are not storing the jump from zero to the maximum value, the following (stable) signals are going to overwrite on the old one which we are not interested in.
Triggering:
Your many further options include:
-Simultaneous display of signals in both channels (CH 1 and CH 2, to be alternately, chopped or added)
- X-Y plot of 2 signals
Apart from using the Function Generator, students can use the motor start-up and dynamic response of a thermocouple (especially) to use the trigger option.
STORE button on the right top captures the signal digitally, i.e. the trace of the beam is stored on the screen up to that it completes one movement from left to right. Once it reaches the right end, it again over traces on the old one. SAVE button is used to save the current trace of the beam, i.e. no more readings taken up to that the SAVE button is released. SAVE is useful when reading the dynamic response of a starting motor. The motor is started when the beam has just passed the left end of the screen. Once the motor reaches the maximum speed, SAVE button is pressed so that the initial response of the motor is saved on the screen. The difference between STORE and SAVE is that STORE stores the trace of the beam up to the next cycle of display. But SAVE saves it and no more recordings until that SAVE button is released.
OBSERVATIONS:
| Reference Function Generator Signal frequency (fFG) [Hz] |
Time Scale (Sweep Rate) set value (x axis) (ST) [sec/div] |
No. of divisions per period of signal (Nd) [div] |
Frequency of the displayed signal (fS = 1/STNd ) [Hz] |
Percentage Error (fS- fFG)/ fFG× 100% [%] |
USING THE TRIGGER FUNCTION AND MEASURING THE FREQUENCY OF VIBRATION OF A CANTILEVER BEAM

| Serial Number | Time Scale (Sweep Rate) set value (x axis) (ST) [sec/div) |
No. of divisions per period of signal (Nd) [div] |
Period (T) of Vibration (T=STNd ) [sec] |
Frequency of the displayed signal (fS = 1/ T) [Hz] |
First Natural Frequency of vibration of cantilever beam (Average of the above 5 readings) =
OBSERVATIONS (example):
| Reference Function Generator Signal frequency (fFG) [Hz] |
Time Scale (Sweep Rate) set value (x axis) (ST) [sec/div] |
No. of divisions per period of signal (Nd) [div] |
Frequency of the displayed signal (fS = 1/STNd ) [Hz] |
Percentage Error (fS- fFG)/ fFG× 100% [%] |
10000 |
20E-6 |
5 |
10000 |
0.00 |
1500 |
0.1E-3 |
6.7 |
1492.5 |
-0.50 |
15015 |
20E-6 |
3.3 |
15151.5 |
0.67 |
150 |
1E-3 |
6.7 |
149.2 |
-0.50 |
20 |
10E-3 |
5 |
20 |
0.00 |
Finding the frequency of vibration of a cantilever beam (Strain gage setup):
| Serial Number | Time Scale (Sweep Rate) set value (x axis) (ST) [sec/div) |
No. of divisions per period of signal (Nd) [div] |
Period (T) of Vibration (T=STNd ) [sec] |
Frequency of the displayed signal (fS = 1/ T) [Hz] |
| 1 | 0.05 | 1 | 0.05 | 20 |