ME 596 Lab 2 Report
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Apr 3, 2024
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Uploaded by LieutenantOxide4000
2/16/24
Light Sensor Team 3
Lab 2: Displacement measurement system using Philtec D11 fiber optics sensor
Introduction-
The purpose of this lab is to determine whether the frequency increase of the actuation source
impacts the frequency of a beam vibration. This lab experiment and analysis requires knowledge of spring
and mass system modeling, standard normal distribution, and T distribution in order to create informed
hypotheses on fiber-optical sensors being utilized in junction with displacement measurement systems.
Materials-
-
BestTong DC Vibration Vibrating Micro Coreless Piezo Motor
Operation: 3,500 rpm~9,500 rpm @ DC
1.5 ~3.7 V
Size: 6mm x 12mm, Cylindrical
-
Cantilever beam
Aluminum 90
́
50.8
́
0.508 mm3
Density: 2,710 kg/m3, Young‘s modulus:
70 GPa
-
Motor
Measurement Experiment -
A simple motor was attached to a cantilever beam with the specified material and dimensions
listed above. A BestTong DC Vibration Vibrating Micro Coreless Piezo Motor was utilized to measure the
quantity of waves, a means of determining the impact of alternating frequency of the vibrations. Data was
collected at two frequencies, with ten samples collected per run of the experiment. A total of twenty data
points were collected, along with accompanying pictures of the waves produced by the digital
oscilloscope.
Data for Statistical Analysis -
Table 1: 1.00 Hz @ 100ms
Sample (n)
# of waves
1
2.55
2
2.65
3
2.75
4
2.6
5
2.7
Table 2: 0.50 Hz @ 100ms
Sample (n)
# of waves
1
2.6
2
2.7
3
2.65
4
2.75
5
2.55
Calculations
(Comparing mean 1st natural frequencies: Paired T-test)
T-table value:
2.776
Calculated t value:
t =
=
=
4.472
(Σ𝐷)/𝑁
Σ𝐷
2
−(
(Σ𝐷)
2
𝑁
)
(𝑁−1)(𝑁)
(0.5)/5
0.06−(
(0.5)
2
5
)
(4)(5)
Findings and Conclusions -
The final calculated t value is different from the t value found on the table. There is one primary
reason for having an incorrect answer, which stems from the possibility of using an incorrect means of
calculating the t value. There were a host of equations to choose from which would determine the t value,
however the one chosen appeared to be the best option due to its familiarity and relative simplicity. All of
the data collected could be utilized for the chosen formula to determine the t value, however it is unclear
whether this calculation was performed incorrectly or the wrong equation was chosen. Regardless, the two
t values vary greatly, which may also be due to an incorrect setup of the lab experiment or an error when
collecting and analyzing the data. Implementing such systems in the future would be incredibly useful in
detecting the structural integrity of an object/fabrication in which vibrations may affect performance of
operation. The two frequencies measured in this experiment had a .5 Hz difference, however the produced
waveforms were very similar to one another. Future tests should include even more runs of the experiment
to create a greater pool of data which may be utilized to further understand the relationship between the
frequency increase of the actuation source and the frequency of a beam vibration.
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