Search for defects in plates

Application for searching for defects in plates (Ellipse method and Time-reversal)

The project has many dependences with math classes library

What should you do to run examples?

1. Install R > 3.6 (u can use this site)

2. Set Rscript.exe as default application to running .r files

3. Run this file (as administator) to install necessary packages

Signal preparation

Algorithm:

1. Record "clean" signal (just signal from default material)

2. Record signal after creating defect

3. Create the difference between these signals

4. Create Furier transform of this difference

Example: creating difference

Example: viewing difference and it's Furier transform

Time reversal

Furier transform of signal is the important parameter of using fit. Firstly, it creates a tensor of u(x, variety) function values, after that it creates a tensor of u(x, t) function values and prepare this tensor according to selected metric. After all u can see the surface to determine the location of defect.

There are several important hyper-parameters for determining defect's location: sensors' location and variety, time and space nets (the thicker net is better, but takes more time for calculating).

Example: piezoelements choosing and start calculations

Example: see results

Ellipse method

There is another interesting fit with same parameters.

Features

Removing data files

Use RMdator.exe to removing most large data files.

Sensors with cut

Animation