modeFRONTIER / NASTRAN-PATRAN: optimization of a plane stress plate

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3.3.1. Design Space




If we were not able to run the Multi-objective with constraints optimization we can load the project for the post-processing from:
.../modeFRONTIER30x/doc/html/caeInt/NASTRAN/ plate/prj_full/monoObj/NASTRAN1Obj.prj

During the goal definition stage we have learned how to define mono-objective, multi-objective, and multi-objective with constraints optimisations.
For each type of optimization, we will end up with a different design space:

  1. monobjective design space
  2. multiobjective design space
  3. multiobjective with constraints design space

Mono-objective Design Space

Once we move to the Design Space tab we enter into the post-processing environment.
On the left we find a new tool bar where there are all post-processing tools for result assessment .
Click on the Design Table icon Process flow icon to show the complete result database (Input and Output Variables and Objective). This table updates while the optimization is running and each design is written as soon as it is calculated.
When the optimization has finished we can mark the design belonging to the Pareto Frontier selecting the action Mark > Mark Pareto Design > only Real from the Edit menu.

Note:In the case of a mono-objective optimization we have only one Pareto Design while in multi-objective optimization we have a set of designs that are not dominated.

Fig. 1: Design Table
Fig. 1: Design Table

While the project is running we can click on the History chart icon Process flow icon and Multiple History Chart icon Process flow icon to monitor the evolution of the optimization process. To see the evolution of the maximum diplacement click on the Process flow icon or choose the History Chart in the Assessment > Add Design chart menu, select the Objective MAX_DISPL and click Ok, see Fig. 2.

Fig. 2: History Chart Creation
Fig. 2: History Chart Creation

A new window will appear into the design space and it show we the value of the objective for each design, see Fig. 3.

Fig. 3: Design Objective History Chart
Fig. 3: Design Objective History Chart

To see the history of the Input Variable for each design click on the icon Process flow icon and select all the Input Variable (keep pressing the Shift or Ctrl button while we are selecting to select more than one Variable), see Fig. 4.

Fig. 4: Multiple History Chart Creation
Fig. 4: Multiple History Chart Creation

A new window will appear into the Design Space and it show we the value of the Input Variables for each design, see Fig. 5.

Fig. 5: Multiple History Chart
Fig. 5: Multiple History Chart

As we can see the optimization algorithm has started evaluating the designs belonging to the D.O.E. (desing from 0 to 15) and values of the Input Variable are random accordingly with the algorithm we used to reate the D.O.E. These D.O.E. designs define the first poulation of the genetic algorithm and they will evolve in order to achieve the goals.
In this case we can see how the Input Variables are converging towards the place where the value of the function is mimimum.

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