Skip to main content
T
TG_105145684-Participant
4-Participant
May 14, 2024
Solved

Derivative of Function with Vector Output

  • May 14, 2024
  • 1 reply
  • 1030 views

I'd like to check a simple-span beam for the effects of a torsion load along the beam span. This requires some element-wise operations as well as a function for angle of rotation. Attached is the portion of the sheet where I'm running into a vector/scalar error. I'm running Prime version 7.0.

 

I'd like for the output to include the first, second and third derivatives of the angle of rotation at 3 points along the beam span (the load point in addition to both ends of the beam). Is there a good way to manipulate the matrix setup or include the derivative functions within the main function in order to produce an output?

TG_10514568_2-1715644689515.png

Best answer by Werner_E

You can't define the derivative with respect to a vector (z).

I redefined your function theta so that it works with scalar arguments and then call them vectorized with the vector z as argument. Because the values of alpha vary wrt the values of z, I had to define theta and its derivatives as a function in z AND alpha.

Hope it helps. Can't save as Prime 7, so here is a full screenshot:

Werner_E_0-1715646003462.png

 

1 reply

W
Werner_E25-Diamond IAnswer
25-Diamond I
May 14, 2024

You can't define the derivative with respect to a vector (z).

I redefined your function theta so that it works with scalar arguments and then call them vectorized with the vector z as argument. Because the values of alpha vary wrt the values of z, I had to define theta and its derivatives as a function in z AND alpha.

Hope it helps. Can't save as Prime 7, so here is a full screenshot:

Werner_E_0-1715646003462.png

 

    T
    TG_105145684-ParticipantAuthor
    4-Participant
    May 14, 2024

    Thanks so much for the quick response! Appreciate the help

    Terms & ConditionsCookie settingsAccessibility statement