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E
ebelmonte1-Visitor
1-Visitor
March 5, 2018
Question

2d linear interpolation

  • March 5, 2018
  • 1 reply
  • 4292 views

Dear all,
I'm facing again a problem with linear 2D interpolation.
In this case I tried to see if the results of direct and inverse interpolation coincide.
z=f(x,y) and y=f(x,z).
Unfortunately, they don't.
Could you please help me in finding the solution of this problem?
Attached you see the mathcad file.

Thank-you very much for your support.

Regards.

Enrico

1 reply

W
Werner_E25-Diamond I
25-Diamond I
March 5, 2018

Sorry, but I see no reason why the two diagrams in your sheet should coincide.

Your first table yields a value for cycles  of 35309 if force=16574 and ratio=0.2.

Your second table suggest a cycle value of just 100 for the same values. Obviously different functions.

 

E
ebelmonte1-VisitorAuthor
1-Visitor
March 6, 2018

Dear Werner,

 

Thank-you very much for your reply.

You are right. I've sorted out the file. Now it should be clearer.

I still find some difficulties by interpolating the data.

I really appreciate your support!

 

Regards.

 

Enrico

 

W
Werner_E25-Diamond I
25-Diamond I
March 6, 2018

I just looked at the top of your new sheet and compared the "inverse function" you provide (Force1) with the inverse values we can calculate from the given data (Force, Cycles, LoadRatio) using a solve block to provide the inverse function.

Some values are similar, some are quite off. So its no surprise that you don't get the same results.

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