Gyro Gearloose on cogwheels (a series on tutorials on gear trains):

Gyro Gearloose on cogwheels (a series of tutorials on gear trains):

Different types of gears:
1 Spur gears
* In the sample on spur gears note the “linear” relationships between diameter d, number of teeth N and rotational frequency n which are defines for the three cogwheels.
2 Annular gears
3 Rack and Pinion
4 Crown gears
 

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Gyro Gearloose on cogwheels (a series of tutorials on gear trains):

Different types of gears; .jas samples are animated:
1 Spur gears
2 Annular gears
3 Rack and Pinion
4 Crown gears
 

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  • Gears Basics.zip
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Gyro Gearloose on cogwheels (a series of tutorials on gear trains):

Slightly tricky:
1 Bevel gears
2 Helical gears (sorry, I have yet to calculate the proper ψ / psi for the correct helical angle)
3 Worm gears (ditto, as another helical gear)

Ooops, I forgot the math stuff
* See attached screen dumpling or the en:WP for further formulae
 

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Gyro Gearloose on cogwheels (a series of tutorials on gear trains):

Construction methods / Quickies
1 Extrusion (Cog spline) + bevel option
2 Polyplane (Cog spline) + shell
 

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Gyro Gearloose on cogwheels (a series of tutorials on gear trains):

Construction methods / multiple splines
3 Extrusion (Cog spline + secondary splines) + bevel option
4 Polyplane (Cog spline + secondary splines) + shell

Note: You can use multiple splines in the Extrusion & Polyplane creators. Useful for the holes in the cogwheel. Only marginally tricky :tongue:
 

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Gyro Gearloose on cogwheels (a series of tutorials on gear trains):

Construction methods / manual
5 Customised sector + ring. Of course, you can build a cogwheel without using the predefined cog spline. In my example I started with a sector of a cylinder, fiddled a bit and dumped a ring modifier in the hierarchy.
* Sorry, this is a poor example as the pitch dimensions are way off :frown:
 

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Gyro Gearloose on cogwheels (a series of tutorials on gear trains):

Pro futuro: When I get time, I add some practical examples, probably
1 Differential in the car
2 Sun & Planet drive
3 Motion work in standard clocks / simplified skeleton watches
4 Planetimer engagement (if I can work out the maths and get a method to run a gear bearing)
* If possible, all will be animated to allow playing with the .jasses
 
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Notes on multi-splines
* Spline Set #1: Generate the family of splines for the cogwheel
1 outer cog spline
2 3, 4, 5 (or whatever) = openings in the circular face of the cogwhell
6 hole for shaft (square in my example)
* Spline Set #2: create the hierarchy for the set of splines
* use the cog spline as a parent node
* shift the rest as children nodes into the hierarchy
* Spline Set #3: Import & collapse
* import children
* delete children, same procedure as in meshes
* Spline Set #4: Polyplane
* Option A: stick into polyplane + apply a shell
* Spline Set #5: Extrusion
* Option B: stick into extrusion and apply a bevel
 

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Differential / non-activated

Shows the function if the vehicle travels in a straight line. The planet gears revolve without spinning, as a result the wheels (not shown, but they would be at the ends of the green axles) rotate at identical speeds. In practice, there are minor movements due to the unevenness of the surface of the road and minute differences in the circumference of the tyres.
12 seconds / animated
 

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Differential 06 / extreme exaggeration
Just to show the function in an extreme situation. The two powered wheels are turning in different directions, one forward, the other (yellow) backward. Unless this is a Segway, you are in trouble :frown:

Differential 07 / driving in tight circles
The differential rotates around its axis. The green wheel maintains its normal speed, the yellow wheel is stationary. In practice, you are driving around a circle the centre of which is the yellow wheel :tongue:
 

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Fantastic Helmut, I wish I had this knowledge before I
made my two stage planetary gear reduction drive.

 

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