Holey Triangular Calibration

Question

I would like to ask the community for feedback regarding the ability to put the Catenary and Chain Elasticity equations into the firmware. Does it seem reasonable for the arduino to computationally support the additional calculations? Does anyone know how much additional bandwidth, in terms of processing power, is left on the Arduino, to support these additional operations?

Update

Here is the result of Chain Elasticity displacement vs. position on worksurface, and total displacement vs. position on worksurface.

Machine Parameters:

  • Distance Between Motors=3048
  • motorOffsetY=711
  • sledWeight=20

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Developments

I would like to update the hole locations for the calibration to be a six-hole arrangement. Below is a figure, where “Pt #” are the point numbers, and “M #” are the measurement numbers. This is mostly for my own organization, but I am open to feedback. The primary reason for the update is I feel it is important to have a hole at the top-center of the work piece. The top-center of the work piece is most sensitive, in terms of vertical position, to changes in calibration.