Optimizing a parametrized geometry with genetic algorithm

Question

Kim 2022-8-24

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https://ww2.mathworks.cn/matlabcentral/answers/1784885-optimizing-a-parametrized-geometry-with-genetic-algorithm

编辑： Kim 2022-8-24

Hello,

My current working state is as follows: I build the geometry in Matlab, export it to Comsol where the FE-Calculation takes place and afterwards I can retrieve the results such as reaction force in Matlab.

My aim is to optimize the geometry in order to get the maximum reaction force. Therefore I want the genetic algorithm to vary the geometric parameters, here for example A. In total there are up to ten, but I'm trying it with one first. If I write

Fmax = @(A)FE_Calculation;
A = optimvar("A","LowerBound",1,"UpperBound",1.5);

I don't succeed in plotting

T0=0.75;
m=472.5;
s=linspace(0,m,m+1);
y2= A .*rem(s/70,T0)./T0+ s/8;
figure(1);
plot(s,y2);

since A is continuous (Error message: "Data must be numeric, datetime, duration or an array convertible to double.") Unfortunately, I need this plot to generate my geometry.

Does anybody have a solution or an idea how to approach this?

I would be very grateful for your help.

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Matt J 2022-8-24

I don't succeed in plotting ...since A is continuous

No, A is not continuous. A does not possess value(s) at all!

Kim 2022-8-24

编辑：Kim 2022-8-24

Ok, I printed A at the command window and got

A=

OptimizationVariable with properties:

Name: 'A'

Type: 'continuous'

IndexNames: {{} {}}

LowerBound: 1

UpperBound: 1.5000

So I thought it would be 'continuous' but if it just discribes the distribution and A doesn't contain any values, it explains why the problem occures. There has to be a point somewhere in the algorithm, where they need actual values for the calculation. Or does this just happen in the final step of "solve"?

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Answer 1

Matt J 2022-8-24

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https://ww2.mathworks.cn/matlabcentral/answers/1784885-optimizing-a-parametrized-geometry-with-genetic-algorithm#answer_1032080

编辑：Matt J 2022-8-24

在 MATLAB Online 中打开

Whn generating y2, your current code attempt doesn't make it clear what values you intend for "A". Perhaps this is what you meant,

y2= linspace(1,1.5,m+1) .*rem(s/70,T0)./T0+ s/8;

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Kim 2022-8-24

If I change A, the form of the curve will change and so will my geometry. I just took the range of values for A between 1 and 1.5 as an example. I attached two pictures withe the influence of A on the geometry. You can see one with A=0.75 and one with A=3. So it's important for me to be able to integrate it in my optimization loop.

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