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engr_mkhalid10-Marble
10-Marble
April 27, 2023
Solved

Need Help! General Solution to differential equation

  • April 27, 2023
  • 1 reply
  • 4474 views

Hello everyone,

 

I hope you are all doing great in your daily life. I need a little help in solving the differential equation as I m new to MathCAD prime. I m trying to get the solution stated in pdf in MathCAD prime but I m stuck at differentiating the equation. If anyone can help me out I will be really thankful. I m attaching pdf as well as MathCAD prime 8.00 file for reference.

 

PS: 

2.pdf shows the results i want to plot, 1 png is the case i want to solve and 2.png are the boundary conditions


Thanks

 

 

 

Best answer by Werner_E
What I am trying to achieve is that I want to differentiate twist angle equation 3 times.

 

Can be done this way

Werner_E_0-1682592332773.png

But I guess that you also will have to find out how k and phi.0 in the general solution for phi(x) correspond with your input values E,I,It, G and m. Is m actually a constant or should it rather be a function m(x)?

If m really is a constant, we can get k and phi0 in Prime 9 by comparing its solution with the general one in your text

Werner_E_0-1682593998487.png

 

1 reply

W
Werner_E25-Diamond I
25-Diamond I
April 27, 2023

Not sure what you are trying to achieve.

AFAIK its not possible to solve ODEs symbolically in Prime 8

Here is what Prime 9 could come up with

Werner_E_0-1682590528182.png

Werner_E_2-1682590789070.png

 

Werner_E_1-1682590548222.png

Werner_E_3-1682590806018.png

 

 

 

E
engr_mkhalid10-MarbleAuthor
10-Marble
April 27, 2023

Thanks for the quick reply. What I am trying to achieve is that I want to differentiate twist angle equation 3 times. To form 3 different equation. After getting Mt and Mw equations I want to add them to form equation for total torsion I.E. Mx. 

after getting these equations, I want to use boundary conditions to plot the graphs as stated in 2.pdf.

 

 

W
Werner_E25-Diamond IAnswer
25-Diamond I
April 27, 2023
What I am trying to achieve is that I want to differentiate twist angle equation 3 times.

 

Can be done this way

Werner_E_0-1682592332773.png

But I guess that you also will have to find out how k and phi.0 in the general solution for phi(x) correspond with your input values E,I,It, G and m. Is m actually a constant or should it rather be a function m(x)?

If m really is a constant, we can get k and phi0 in Prime 9 by comparing its solution with the general one in your text

Werner_E_0-1682593998487.png

 

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