AnsweredAssumed Answered

Purposely Inserting an Iterative (Circular Reference) Equation in the Equation Manager

Question asked by Robert Weimer on Oct 11, 2017
Latest reply on Sep 12, 2018 by Marcos Farina

Like • Show 0 Likes0
Comment • 7

Hey All,

I am producing a profile shifted Helical gear, and yes I want the exact model geometry so that I can have a non gear shop machine it without using a gear cutter.

Anyway, the formulas use the "Involute Function" and the "Inverse Involute Function" The later uses an iterative method to churn through the equations until the changing result is small enough so that you don't care. When I try this in Solidworks equation manager, it gives me the circular reference message. Great that is what I want. I tried to stop the loop with an "IIF" statement to break out when a specified number is reached, but no luck.

Am I on the right track with the "IIF" statement? Or is there just a button I can use to turn on iterative equations and limit the loops the equation manager will calculate? They have this sort of thing for NX, but I am using Soliworks now, and we're not entirely friends as of yet.

No one else has this question

Outcomes

Robert Weimer Oct 11, 2017 6:27 PM

And now the follow up.

If there is no way to do iterative equations In the equation manager in a slick manner, I would be interested in knowing the maximum number of global variables I can use?

Actions

Josh Brady Oct 11, 2017 8:13 PM

Have you tried the equation driven curve? There are also several quite good threads on here regarding gear modeling using the involute equation driven curve.

Actions

Robert Weimer @ Josh Brady on Oct 11, 2017 8:42 PM

Yeah, I actually have a couple of parametric equation driven curves to produce the involute curves in the model. I'm not aware of how to use one to figure out the inverse involute function, but I will check out the equation driven curve discussion to see if there is a way, besides I have other issues with the equation driven curve anyway. Maybe I can figure out how to make 1 equation driven curve, then mirror it and have it maintain its parametric features when revisiting the sketch.

Actions

Thomas Voetmann Oct 12, 2017 12:34 AM

It is very interesting if you can get away with making "illegal" equations. This way you can create some very interesting constructions.

In similar cases, I have uses Excel to do the math including iterations.

To transfer the results to SW I use one of two options.

Populate a design-table with your results (requires relative few dimensions in well defined sketches)
Make a separate Excel sheet containing X-Y-Z coordinates, save this as a txt-file and import this as a "Curve through XYZ points" (more steps and difficulty maintaining relations - faster and easier for curves with a lot of control points)

Be aware; depending on your language settings you might have an issue with decimal "." vs. decimal ",".

Actions

Robert Weimer Oct 12, 2017 7:52 AM

Thanks, I will try the population of a design table from an excel file, and see how that goes.

Actions

Robert Weimer Oct 12, 2017 5:21 PM

OK probably not the real way to do it, but all I need is around 100 iterations, so I created 100 separate equations, each one builds off the one before it, then I use the 100th equation in my other calculations. Yes Solidworks wants to choke on it, not sure why it is only 100 equations, but anyway to combat this I would recommend using a dummy variable for all of the iterative calculations to begin with while modeling the geometry, then enter the iterative equations which isn't that bad with cntrl-c and cntrl-v, then switch out the dummy variable for the calculated one and wait a little while as Solidworks is force fed the equation protocol. Like I said, it choked on it for a while, but in the end, I was the winner, and the desired results were achieved.

Time for a beer.

Actions

Marcos Farina Sep 12, 2018 6:47 AM

hi Robert,

i've created a couple of macros that could help you to get some inspiration:

Worm wheel sweep path and involute

This creates an involute equation curve.

Wave Spring, by driven equation

this ones uses the IIF() in the equations panels to take decisions.

let me know if you need more clarifications.

Regards.

Actions

7 Replies

Robert Weimer Oct 11, 2017 6:27 PM
Mark Correct
Correct Answer
And now the follow up.
If there is no way to do iterative equations In the equation manager in a slick manner, I would be interested in knowing the maximum number of global variables I can use?
Like • Show 0 Likes0
Actions
Josh Brady Oct 11, 2017 8:13 PM
Mark Correct
Correct Answer
Have you tried the equation driven curve? There are also several quite good threads on here regarding gear modeling using the involute equation driven curve.
Like • Show 0 Likes0
Actions
- Robert Weimer @ Josh Brady on Oct 11, 2017 8:42 PM
  Mark Correct
  Correct Answer
  Yeah, I actually have a couple of parametric equation driven curves to produce the involute curves in the model. I'm not aware of how to use one to figure out the inverse involute function, but I will check out the equation driven curve discussion to see if there is a way, besides I have other issues with the equation driven curve anyway. Maybe I can figure out how to make 1 equation driven curve, then mirror it and have it maintain its parametric features when revisiting the sketch.
  Like • Show 0 Likes0
  Actions
Thomas Voetmann Oct 12, 2017 12:34 AM
Mark Correct
Correct Answer
It is very interesting if you can get away with making "illegal" equations. This way you can create some very interesting constructions.

In similar cases, I have uses Excel to do the math including iterations.
To transfer the results to SW I use one of two options.
- Populate a design-table with your results (requires relative few dimensions in well defined sketches)
- Make a separate Excel sheet containing X-Y-Z coordinates, save this as a txt-file and import this as a "Curve through XYZ points" (more steps and difficulty maintaining relations - faster and easier for curves with a lot of control points)
Be aware; depending on your language settings you might have an issue with decimal "." vs. decimal ",".
Like • Show 0 Likes0
Actions
Robert Weimer Oct 12, 2017 7:52 AM
Mark Correct
Correct Answer
Thanks, I will try the population of a design table from an excel file, and see how that goes.
Like • Show 0 Likes0
Actions
Robert Weimer Oct 12, 2017 5:21 PM
Mark Correct
Correct Answer
OK probably not the real way to do it, but all I need is around 100 iterations, so I created 100 separate equations, each one builds off the one before it, then I use the 100th equation in my other calculations. Yes Solidworks wants to choke on it, not sure why it is only 100 equations, but anyway to combat this I would recommend using a dummy variable for all of the iterative calculations to begin with while modeling the geometry, then enter the iterative equations which isn't that bad with cntrl-c and cntrl-v, then switch out the dummy variable for the calculated one and wait a little while as Solidworks is force fed the equation protocol. Like I said, it choked on it for a while, but in the end, I was the winner, and the desired results were achieved.

Time for a beer.
Like • Show 0 Likes0
Actions
Marcos Farina Sep 12, 2018 6:47 AM
Mark Correct
Correct Answer
hi Robert,

i've created a couple of macros that could help you to get some inspiration:

Worm wheel sweep path and involute

This creates an involute equation curve.

Wave Spring, by driven equation

this ones uses the IIF() in the equations panels to take decisions.

let me know if you need more clarifications.

Regards.
Like • Show 0 Likes0
Actions

Purposely Inserting an Iterative (Circular Reference) Equation in the Equation Manager

Outcomes

Related Content

Recommended Content