A double parametric pendulum, linked to a seesaw axle, could be the solution...

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re: A double parametric pendulum, linked to a seesaw axle, c

Post by path_finder »

Dear DrWhat,
In my opinion the balls don't follow the path.
This path is intended to receive a roller allowing the extra mechanism to transform this path into the above depicted (red/blue) path of the weights.
Either I did not undertood perhaps your idea. Can you precise it?
I cannot imagine why nobody though on this before, including myself? It is so simple!...
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Post by DrWhat »

I speak in reference to MT 124.

Have a good look! Similar in some ways to the image below.
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re: A double parametric pendulum, linked to a seesaw axle, c

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Dear DrWhat,
Many thanks for your explanation.
I was not a good enough observer...
But for what purpose a Moebius strip can be useful for Bessler?
And in addition with a not planed surface?
Apart the ribbon inside the ink cartridge of the IBM-2741 of the seventies, I did not see any other application.

I can not believe that Bessler was the first inventor of the 3D Moebius like epicycloidal train, shown here:
http://robotics.eecs.berkeley.edu/~ahoover/Moebius.html (where the light blue rollers are the weights)..

And the 'Crab canon' of Bach has to do with Bessler (remember the music code), like her:
http://strangepaths.com/canon-1-a-2/2009/01/18/en/


I'm at this point in an abyss of perplexity...
Do you have any idea?

nb: for the curiosity: http://en.wikipedia.org/wiki/M%C3%B6bius_strip
The shape of the Möbius Strip probably dates to ancient times. An Alexandrian manuscript of early Alchemical diagrams contains an illustration with the visual proportions of the Möbius Strip. This image, on a page titled 'The Chrysopoeia of Cleopatra, has the appearance of an Ouroboros, and is referred to as the 'One, All'
Dear Scott, did you choose the Ouroboros in relation with this?
Last edited by path_finder on Wed Nov 18, 2009 10:04 am, edited 2 times in total.
I cannot imagine why nobody though on this before, including myself? It is so simple!...
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Post by scott »

Indeed! For me the concept is universally applicable.
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re: A double parametric pendulum, linked to a seesaw axle, c

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For the members/guests also musicians:
The J-S.Bach 'Crab canon' on a Moebius strip can be heart here:
http://www.youtube.com/watch?v=xUHQ2ybTejU

Please observe with attention the mutual position of the rods and weights between 02:04 and 02.32 of this flash animation...
I cannot imagine why nobody though on this before, including myself? It is so simple!...
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re: A double parametric pendulum, linked to a seesaw axle, c

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Hereafter we suppose the wheel rotating clockwise (like the clocks).
The two drawings below show the same mechanism based on four workers fixed on the same orthogonal four arms cross.
But depending of the relative position of the workers versus the main wheel, the results are very different.

On the first drawing the workers jump at 12:00 and 6:00.
In that case the COG path (in blue) is balanced (it is about a circle), but there is an important remarkable point at 6:00.
The weight of the 6:00 worker rides twice the small arc of circle as indicated by the three black arrows.
Meanwhile in the same time the weight of the 12:00 worker rides the yellow path just only a single time.
What can be obtained from this delay?

On the second drawing the workers jump at 3:00 and 9:00.
This time the path (in blue) is perfectly balanced.
But what interesting is the shape of the COG path:
if you rotate this path anticlockwise (reversed with the clocks) within 90 grades, we obtain an useful mechanism for the parametric pendulum.
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workerx4_path2.png
workerx4_path1.png
I cannot imagine why nobody though on this before, including myself? It is so simple!...
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