I have a lot of data results, How do I find a parameter of an equation which can predict these results?

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I have many data of dissipated hysteretic energy of a system and for each ground motion, each height of the system, each soil condition, and each period of the system, has different dissipated hysteretic energy. Is this called "multi-input-multi-output system"?, I am not sure because I don't have good knowledge about statistics. I want to create a equation which take account of those variables above. Which MATLAB app or function should I use for this analysis? Thank you.
  4 Comments
Walter Roberson
Walter Roberson on 6 Jan 2018
That sounds like multiple inputs and single output.
I suspect that you should probably not be looking at statistics for this. Instead I would direct you to possibilities in the neural networks, or maybe the curve fitting toolbox (but I doubt it is suitable), and I am thinking that perhaps what you really need is System Identification toolbox

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Accepted Answer

Star Strider
Star Strider on 6 Jan 2018
There are several articles on the Internet. One recent (2015) open-source discussion is Estimation of Earthquake Input Energy, Hysteretic Energy and its Distribution in MDOF Structures (link), the Ph.D. dissertation of Mebrahtom Gebrekirstos Mezgebo, Syracuse University.
I would first look through an open-source publication by the same author, Hysteresis and Soil Site Dependent Input and Hysteretic Energy Spectra for Far-Source Ground Motions (link) to see if it has information relevant to you.

More Answers (3)

Greg Heath
Greg Heath on 6 Jan 2018
Neural Networks seems like the most reasonable approach UNLESS you have plots that indicate the individual I-O plots are relatively easy to model via a low order polynomial
Hope this helps
Thank you for formally accepting my answer
Greg
  1 Comment
Walter Roberson
Walter Roberson on 6 Jan 2018
Neural Networks are not easy to turn into a coherent "model", so if the poster is trying to figure out what the model is, I think they are going to need to use a different toolbox. Curvefitting might help eliminate some potential models but curve fitting is not good at saying that a model definitely is something or other. System Identification might be the best bet for coming out with a definite model.

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Ali Hammouche
Ali Hammouche on 28 Nov 2020
this data measurment for any material ,
can you provide it ?

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