Page 1 of 1

4 meshed gears

Posted: Mon Aug 04, 2014 8:37 pm
by Diehart
Hi, I'm new here. ;D

I tried search, but no luck.

I'm trying to made braider which can be 3D printed.
It's basically finished, with one small problem. I drive large gears with one smaller gear, but becuase large gears have 4 slots, I added one more smaller gear, which intention is that help bigger one through the gap.

Now the problem.

How should I define angles inside trapezoid, which connect centers of gears, that all gears meshes? I tried to use gearotics, but I can't mesh one gear with two other gears, or I can't find that feature.

Gears have 10, 20 and 62 tooth. I may mention that I am hobbyists and I'm not machinist by profession.

Re: 4 meshed gears

Posted: Tue Aug 05, 2014 12:23 am
by ArtF
Hi:

  You can swing any gear off another, so youd start with any one of them, and roll the next gear off the first.
If your gears are the right size and tooth count they will mesh with each other as you go.Id leave the slots
till afterwards as they can be made to line up when you slot them.. Nice design, I think I see whats your doing,
and Ive never seen it done that way before, very innovative.,.

  In the end, G2 doesnt really compute meshes, it just makes sure that any gear beiong placed meshes with the
gear its placed onto, so as long as the gears DO mesh mathematically, they will automatically mesh as each
is rolled into position.
  As yet, there is no calculator for that type of thing in terms of the tooth count needed for each gear ...

Art

Re: 4 meshed gears

Posted: Tue Aug 05, 2014 4:09 pm
by JustinO
I was getting all excited like a seventh grader attacking a tough geometry problem, but then I remembered the internet:
http://www.1728.org/quadtrap.htm

Being smart used to mean something.

Re: 4 meshed gears

Posted: Tue Aug 05, 2014 9:54 pm
by Diehart
I don't think that is that simple.

Maybe trapezoid wasn't right word to choose. In some cases you can get quite close to it, but it can be quite different. Like in attached pictures.

That problem have more solutions, two extremes are on pictures koti2 & 3. I determined it by hand (eyes). :) It is slow and human error prone process.

So, with G2 one cann't mesh gears in the "circle". I tried to make two small gears, one to mesh with 62 and other with 20 and then move shaft to shaft, but that did funny things to gears (change their module and size).

Re: 4 meshed gears

Posted: Wed Aug 06, 2014 1:11 am
by ArtF
>> one to mesh with 62 and other with 20 and then move shaft to shaft  but that did funny things to gears (change their module and

Shaft to shaft and other movement functions shouldn't change module or teeth, the gears stay in original form.

I know it is hard to do the centering of such things, and I have on my devlelopment list a sun train calculator similar to our
\current planetary one to calculate those types of linkage centers. Perhaps we'll get enough done this year to get there. :)

Art


 

Re: 4 meshed gears

Posted: Wed Aug 06, 2014 3:18 am
by JustinO
This can be solved with simultaneous trigonometric equations.

Gearotic won't calculate the shape of the quadrilateral for you, but you can calculate it. I'm sure there is free software out there that will solve it for you.

I'm not sure what you are wanting. To get actual numbers, you need to add one more constraint, such as the quadrilateral being a trapezoid, or the base angles being equal, or something. Otherwise, there will be an unconstrained variable and the quadrilateral will "rock". What constraint would you like?

As long as your side lengths are determined by the radii of your gears, meshing will work.

Re: 4 meshed gears

Posted: Wed Aug 06, 2014 3:31 am
by ArtF
>>his can be solved with simultane ous trigonome tric equations .
>>Gearotic won't calculate the shape of the quadrilat eral for you, but you can calculate it. I'm sure there is free software out there that will solve it >> for you. I'm not sure what you are wanting. To get actual numbers, you need to add one more constrain t, such as the quadrilat eral being a 

  Ahhh, the sound of mathematics well spoken... music to my ears..

Art