Task |
Theory |
QuickField |
% |
 linear1. Move square's right edge to the right in order to get the maximal cross-section area. The movement range is 0..1
The optimized value is linearly dependent upon the optimization parameter. |
2 |
1.9981 |
0.1% |
 linear2. Move square's right and top edges right and up correspondingly in order to get the maximal cross-section area. The movement range for each edge is 0..1.
The optimized value is linearly dependent upon two optimization parameters. |
4 |
3.9836 |
0.41% |
 linear3. Move square's 3 edges (right, left and top) in order to get the maximal cross-section area. The movement range for each edge is 0..1.
The optimized value is linearly dependent upon three optimization parameters. |
6 |
5.9674 |
0.54% |
 linear1_2. Move square's right edge by its two vertices moving right independently in order to get the maximal cross-section area. The movement range for each vertex is 0..1.
The optimized value is linearly dependent upon two optimization parameters. |
2 |
1.9967 |
0.17% |
linear1_11. There are 11 squares (like the one in task linear1). Move each square's right edge in order to get the maximal total cross-section area. Each edge can be moved independently. All in all there are 11 optimization parameters.
The optimized value is linearly dependent upon 11 optimization parameters. |
22 |
21.928 |
0.33% |
|
 square1. Move half-circle's right vertex in order to get the maximal cross-section area. The movement range is 0..1.
The optimized value is square dependent upon the optimization parameter. |
3.5343 |
3.5271 |
0.2% |
 cubic1. The same as previous. Axisymmetric model represents sphere. The sphere volume is calculated. The movement range is 0..1.
The optimized value is cubic dependent on the optimization parameter |
14.1372 |
14.094 |
0.31% |
|
 nonlinear1. Move common boundary 1-1 of rectangle and half-circle in order to get the minimal area.
Half circle cross section is S1=π/2·(x/2)2.
The rectangle cross section is S2=0.5·(1-x).
The optimal parameter value is x=2/π. |
0.6366 |
0.6366 |
0.00% |
 nonlinear2. The same as previous but the volume of sphere and cylinder is minimized.
The sphere volume is V1=4π/3·(x/2)3. Rectangle in axisymmetric model represents a cylinder. Its volume can be calculated as V2=π·0.52·(1-x).
The optimal parameter value is x=1/sqrt(2). |
0.7071 |
0.7059 |
0.17% |
