ME 596 Lab 2 Report

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San Diego State University *

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596

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Mechanical Engineering

Date

Apr 3, 2024

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pdf

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3

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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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