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AD_1078019710-Marble
10-Marble
Dec 18, 2023 12:09 PM UTC
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Combining ODE with a IF function

Dear all,

 

May I ask if anyone knows how to combine this 'if' function with these differential equations? k3 is a spring where the stiffness depends on the position of mass 3. In the attachment, I managed to achieve this in Python, but I didn't manage to do this in Mathcad.

 

Could someone help me so that I know for next time?"

 

Thanks in advance.

Werner_E
Werner_EAnswer
25-Diamond I
Dec 18, 2023 1:54 PM UTC

Hope this helps:

Werner_E_0-1702907626200.png

 

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3 replies

Werner_E
Werner_E25-Diamond IAnswer
25-Diamond I
Dec 18, 2023 1:54 PM UTC

Hope this helps:

Werner_E_0-1702907626200.png

 

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    AD_1078019710-MarbleAuthor
    10-Marble
    Dec 20, 2023 7:00 AM UTC

    Dear Werner_E

     

    Thank you it worked perfectly and I have only one remaining question. If I want to add the damping coefficient as add on in a function depending on speed it won't allow me to do this. It is not required for now but if i want to add this how do you handle this?

     

    Thank you in advance

     

     

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    Werner_E
    Werner_E25-Diamond I
    25-Diamond I
    Dec 20, 2023 8:38 AM UTC

    c3 and k3 are now functions dependent on the current value of x3(t).

    So you must change every occurrence of c3 to c3(x3(t)) and the same for k3

     

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