Examples
All benchmarks, examples and applications cases to be run by Kratos. Note that unit tests are in Kratos repository and NOT here
Bead Optimization of a Plate
A bead optimization problem to minimize the strain energy of a square plate - supported at the corners and subject to a single force in the center.
Author: Armin Geiser
Kratos version: 9.0
Optimization Problem
Objective
-
Minimize strain energy
Optimization settings
- Algorithm type :
bead_optimization - Number of steps :
300 - Step size :
0.25 - Filter radius :
0.075 - Mesh motion :
False
Results
Shape Evolution
The below images shows the shape evolution of the bead pattern on a plate during the optimization iterations.
Comparison with manual solutions
In the table below, a comparison with manual solutions shows that the bead pattern obtained from the optimized solutions perform better. The last row shows the value of the objective function (here strain energy) for each of the bead patterns.
| Manual Solution 1 | Manual Solution 2 | Manual Solution 3 | Manual Solution 4 | Manual Solution 5 | Optimized Solution |
|---|---|---|---|---|---|
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
| 2.46e-3 | 1.56e-3 | 1.17e-3 | 1.06e-3 | 7.86e-4 | 4.23e-4 |
Convergence
The below plots shows the evolution of the objective function over the bead optimization iterations.
