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Mechanical Engineering Metrology and Measurements (MEMM)

Theory of experiments and measurements

Engineering Example: Uncertainty Analysis in Mechanical Measurements
Standardization
Laboratory Notebook
Uncertainty 101
Uncertainty in simple terms from IAEA
Short summary of the ``Measurement good practice guide ‘’ by NPL
Simple example of mechanical measurement with uncertainty analysis
Using AI tools to learn uncertainty
How to estimate the uncertainty of a slope for static calibration or regression
General measurement system diagram
Significant digits
Propagating uncertainty using Monte-Carlo simulations

Statistics for measurements

Very basic review of some statistics terms
Probability Distributions and the Central Limit Theorem
Lecture 5 - probability and statistics
Lecture 6
Outliers

Calibration

Sensitivity estimate example
Micrometer calibration using gage block
Calibration and uncertainty analysis - virtual experiment
Calibration of non-linear (logarithmic) function
Hysteresis and regression analysis example

Analog to digital (A/D) and D/A

Mimic A/D conversion
Analog to digital (A/D) and Digital to Analog (d/A) conversion example
Sampling, clipping and aliasing
Digital to Analog conversion using sinc

Signal processing

Digitizing the signal using pure Python
Using FFT the right way to find the correct spectrum
Fourier transforms
Symbolic evaluation of Fourier coefficients
Using FFT-based filter to reduce noise
FFT demo of a real, periodic signal

Dynamic signals

Log decrement method
1st order dynamic system
Example of pre-measurement design
Step responses of dynamical systems
Plot power spectrum of experimental data
Spectrum example
Fast Fourier Transform (FFT) of a sum of two sine signals
Lab Worksheet: Measurement of Unknown Mass using Vibrating Beam

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By Alex Liberzon

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