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ode with unknown initial conditions

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Hi everyone,

 

I have a problem solving an ODE. I want to calculate the deflection of a beam, but at the beginning I don't know the force and the force application Point. So I make a guess of it. With a good guess or with iterations (very much work) I can solve it. But because I have many situations like this, I want to do it automatically.

 

In the attached file I have simplified the problem  and explained it more detailly.

 

Thank you,

 

Stephan


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