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Old March 17th, 2019, 06:02 PM   #16
Peter Nachtwey
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Cheeco, I have many more test cases I will get to tomorrow but if your target generator works you can make money by selling the target generator to companies that want to make a motion controller. This would be like Codesys selling the PLC ladder logic program to companies that want to have a PLC but don't have the resources to create their own ladder logic software.

I am impressed that you are doing this out of a passion just to know or to do it. Few have this passion. Passion is what separates the best from the very very good.

BTW, I used Mathcad to generate most of my formulas. Mathcad is old and obsolete but I have been using it for over 25 years so it is the devil I know, The example I provided above used wxMaxima. I also used Mathematica for the most difficult problems. What software did you use to generate the formulas?
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Old March 18th, 2019, 04:34 PM   #17
Peter Nachtwey
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I have test a few more cases including the toughest one with 6 equations and 6 unknowns that was used by Robert Lewis. We get the same answers.
Solving this last problem the way I did provides an explicit solution. It works but it is very complicated. You have opened my eyes a bit. I am going to try an iterative just to see if it works. The problem with iterative solutions is that they take time that I don't have in a motion controller where the calculation time must be relatively deterministic.

What could be improved?

What I realize is that I need to change my HMI. I need to add a time in the column for the cursor values. I had to go back to my Mathcad worksheet to do accurate comparisons because my HMI doesn't display time. I also need a way of placing the cursor at a specific time because my cursor resolution is pixel limited.


Cheeco should allow for different acceleration and deceleration rates. Often people want to decelerate slower than they accelerate.




Excellent Job!!!!
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Old April 15th, 2019, 05:54 PM   #18
tandempace
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calculate time from known Jerk, acceleration and Distance.

Peter, thanks for your useful formulas. They are easy to follow and very useful for an automation project we are working on.


I also want to be able to calculate the acceleration time when I know the initial velocity, given acceleration and Jerk and the distance traveled over this motion.


Thanks
Michael
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