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Non linear equation solution with data function

smilani
5-Regular Member

Non linear equation solution with data function

Dear All,

 

I need to solve a non linear equation in mathcad 15.

 

InputInput

 

 

After a physical test, I obtain the Mbase and phi value, that I use to determine mu trend (right graph).

I after need to use the mu function in a non linear equation, to determine the equilibrium configuration of the structure.

 

NL equationNL equation

 

How can I use the mu(phi) function in the NL equation? if I set mu as constant I don't have any problem.

 

I have a problem with mathcad file attach.

Best regards

Stefano

 

1 ACCEPTED SOLUTION

Accepted Solutions
-MFra-
21-Topaz II
(To:smilani)

Here is the worksheet.
Greetings FM

 

View solution in original post

11 REPLIES 11

To include the mathcad file you need to zip it first.

smilani
5-Regular Member
(To:terryhendicott)

Thanks,

I attach zip file

-MFra-
21-Topaz II
(To:smilani)

Hi,

smilani.jpg

smilani
5-Regular Member
(To:-MFra-)

Dear MR,

 

thanks for your reply.

I don't need to find the solution in previous point, but I would like to define a mu function from where the non linear equation catch the value for the numerical solution.

The mu parameter is not constant but vary with the rotation (phi), so I need to create a spreadsheet that automatically iterate the mu function.

If the function was defined, I don't have any problem, but in this case, the function is defined by data points, and I need to interpolate this value to solve the NL equation.

 

Best regards

Stefano

smilani
5-Regular Member
(To:smilani)

For example:

 

NL solutionNL solution

 

Now mu is a function of phi and the NL solution is reported in the previous picture.

I don't know how can I create the mu  function by data point that can be used in the NL equation.

 

Best Regards

Stefano

-MFra-
21-Topaz II
(To:smilani)

Hi Stefano,
I'm on the right track? it seems to be just what you are looking for.

smilani 1.jpg

smilani
5-Regular Member
(To:-MFra-)

Yes absolutely,

 

I need a function to implement into the NL equation.

Your procedure is really interesting, but if is easier for you, we can use a linear interpolation beetwen the data points.

This case is an example, in pratice I have many other points.

 

Thanks again

Stefano

-MFra-
21-Topaz II
(To:smilani)

smilani 1.jpg

smilani
5-Regular Member
(To:-MFra-)

Can you share the mathcad file? 

 

Now I try to understand the programming command.

 

Thanks and best regards

Stefano

-MFra-
21-Topaz II
(To:smilani)

Here is the worksheet.
Greetings FM

 

smilani
5-Regular Member
(To:-MFra-)

I have problem to understand the logic command of this point

 

logic.PNG

 

Can you please explain me more?

 

Best regards

Stefano

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