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Matlab & Mathematica

Ultrasound longitudinal waves were transmitted through metallic material having a thickness of 9.55 mm. Five replicate measurements were performed and the files were named Mat1_Rep1.csv,

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Problem 1. Ultrasound longitudinal waves were transmitted through metallic material having a thickness of 9.55 mm. Five replicate measurements were performed and the files were named Mat1_Rep1.csv, …, Mat1_Rep5.csv.

  • Plot one raw data
  • Identify and show (in pencil or using other electronic way) the transmitted pulse, the front surface echo (FSE), the first backwall echo (BWE), and the second backwall echo
  • For one data file only, isolate the two BWEs and plot them
  • Using one of the isolated echos find the central frequency of the transducer
  • Measure the speed of sound based on one of the following methods: cross-correlation, zero- crossing, or phase spectral
  • Calculate the average velocity, vavg, the standard deviation, σ, and its 95% error, i.e. vavg ±2σ.
  • Based on the value of the vavg, estimate the type of material by using the online database

Problem 2. Ultrasound longitudinal waves were transmitted through an

attenuative

 

material

 

having a thickness of 72.82 mm. Five replicate measurements were performed and the files were named Mat2_Rep1.csv, …, Mat2_Rep5.csv.

  • Plot one raw data
  • Identify and show (in pencil or using other electronic way) the transmitted pulse, the front surface echo (FSE), the first backwall echo (BWE), and the second backwall echo
  • For one data file only, isolate the two BWEs and plot them
  • Using one of the isolated echos find the central frequency of the transducer
  • Measure the speed of sound based on one of the following methods: cross-correlation, zero- crossing, or phase spectral
  • Calculate the average velocity, vavg, the standard deviation, σ, and its 95% error, i.e. vavg ±2σ.
  • Based on the value of the vavg, estimate the type of material by using the same online

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