topic Cut one body from another while they are in motion - is it possible? in Fusion Design, Validate & Document Forum

Cut one body from another while they are in motion - is it possible?

men8ifr — Mon, 31 Aug 2020 11:32:35 GMT

OK so imagine two gears, except one has an unusual shape, triangle, pentagon, whetever. What would be the best way to cut that shape from the other gear so that they mesh correctly?

Re: Cut one body from another while they are in motion - is it possible?

g-andresen — Mon, 31 Aug 2020 11:38:23 GMT

Hi,

Please show a picture of what you mean.

günther

Re: Cut one body from another while they are in motion - is it possible?

men8ifr — Tue, 01 Sep 2020 20:39:15 GMT

Imagine both shapes revolve around their centre point, and were extruded to bodies e.g 10mm thick if the square rotated at a ratio say 2:1 to the circle could I cut the path the square will take from the circle?

The concept is a bit like this square wheel bike.

Re: Cut one body from another while they are in motion - is it possible?

etfrench — Tue, 01 Sep 2020 21:42:03 GMT

It probably won't look like you think it should, but here's a technique which you can use:

A copy of the original rectangle is made, then rotated. A line is drawn from the center of the circle at half the angle the rectangle was rotated. The center point of the rectangle made coincident with the end point of the line. Continue the process until you've covered 180 degrees.

Re: Cut one body from another while they are in motion - is it possible?

MichaelT_123 — Wed, 02 Sep 2020 21:32:20 GMT

Hi Mr Men8ifr,

Yes, it is possible, to devise shape(s) of topologically interacting moving bodies.

This interaction can have a form of Boolean base operations but also might involve more complicated ones like a conformal (reciprocal) grounding process when two (or more) topological shapes 'cut' into each other.

However, having said 'Yes, it is possible', does not mean it is easy. Quite the contrary, in a general case it is quite complicated, and mathematicians still getting bald and balder cutting into the conundrum. Some of their 'soft-ware' results are on the market.

Nevertheless, there is 'common-people-friendly' approach, that is, by using manual (or semi-manual) labour as exemplified by the technique presented by Mr ETFrench (no intended offence here 😊).

Look also here:

https://forums.autodesk.com/t5/fusion-360-design-validate/need-rollers-that-conform-to-cable/m-p/8692654

Another, perhaps more complex example is visualized in the following video. It shows the representation of nonlinear-trochoidal-gears. Calculating the respective 'tooth' profiles, and resulting gear dynamics have had required quite extensive computations, which I would describe like sort off topological grinding done on Intel processor… sparks were flying!

The linked media files have 4K resolution and as such, should be viewed on the appropriate hardware and using the external standalone capable media player (VLC, WMP,etc.). The stereo file requires red/cyan anaglyph glasses.

https://a360.co/2QPcdbS - mono video size: 18 MB

https://a360.co/3gQICJC - stereo video size: 34 MB

Regards

MichaelT